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BNAL FINAL EXAM QUESTIONS WELL ANSWERED LATEST UPDATE 2026 If the p-value is less than a in a two-tail test, - Answers the null hypothesis should be rejected A ____ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to reject the null hypothesis - Answers test statistic if an economist wishes to determine whether there is evidence that mean family income in a community exceeds $50,000 - Answers a one-tail test should be utilized. If an economist wishes to determine whether there is evidence that mean family income in a community equals $50,000 - Answers a two-tail test should be utilized. the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. she would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. The appropriate hypotheses to test are: - Answers H0 u =30 vs H1: u 30 The owner of a local night club has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not , no entertainment changes will be made. suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. If she wants to havae a level of significance at 0.02, what decision should she make? - Answers Do no reject H0 The owner of a local nightclub has recently surveyed a random sample of n = 250 customer of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample SD was 5 years. If she wants to have a level of significance at 0.01 what conclusion can she make? - Answers There is not sufficient eveidence that the mean age of her customers is greater than 30. The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. What is the p-value associated with the test statistic? - Answers 0.0780 Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.043. The null hypothesesis should be rejected if the chosen level of significance is 0.05. - Answers True suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.034. The null hypothesis should be rejected if the chosen level of significance is 0.01. - Answers False In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test. - Answers False The statement of the null hypothesis always contains an equality - Answers True The larger the p-value, the more likely you are to reject the null hypothesis - Answers False The smaller the p-value, the stronger the evidence is against the null hypothesis - Answers True The t test for the difference between the means of 2 independent populations assumes that the repective - Answers populations are approximately normal In testing for differences between the means of two independent populations, the null hypothesis is - Answers H0: u1-u2 = 0 the sample size in each independent sample must be the same if we are to test for differences between the means of two independent populations - Answers False A statistics professor wanted to test whether the grade on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with related samples - Answers False Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Towards Life, which measures motivation for upward mobility. The SSATL scores are summarized below. Refeerring to Table 10-1, Judging from the way the data were collected, which test would likely be most appropriate to employ? - Answers Pooled-variance t test for the difference between two means Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below. Referring to Table 10-1, gice the null and alternative hypotheses to determine if the mean SSATL score of Japanese managers differs from the mean SSATL score of American managers. - Answers H0: u j = 0 Vs. H1: u A - u j = 0 Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below. Referring to Table 10-1, what is the value of the test statistic? - Answers -11.8092 Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below. Reffering to Table 10-1, find the p-value if we assume that the alternative hypothesis was a two-tail test. - Answers smaller that 0.01 A real estate company is interested in testing whether the mean team that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes Reffering to table 10-3, which of the following represents the relevant hypotheses tested by the real estate company? - Answers H) uG - uM = Vs. uG-uM 0 in what type of test is the variable of interest difference between the values of the observations rather than the observations themselves? - Answers A test for the difference between the means of 2 related populations In testing for differences between the means of two related populations, the null hypothesis is - Answers H0: uD = 0. A researcher is curious about the effect of sleep on students' test performances. He chooses 60 students and gives each two tests: one given after two hours' sleep and one after eight hours' sleep. The test the researcher should use would be a related samples test. - Answers True A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging. In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on various identical materials. He wants to compare these prices with those of his primary supplier. The data collected is presented in the table below, with some summary statistics presented ( all of these might not be necessary to answer the questions which follow.) The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01. Referring to Table 10-7, the test to perform is a - Answers paired t test for the mean difference Moving companies are required by the government to publish a Carrier Performance Report each year. One of the descriptive statistics they must include is the annual percentage of shipments on which $50 or greater claim for loss or damage was filed. Suppose two companies, Econo-Move and On-the-Move, each decide to estimate this figure by sampling their records, and they report the data shown in the following table. The owner of On-the-Move is hoping to use these data to show that the company is superior to Econo-Move with regard to the percentage of claims filed. Which test would be used to properly analyze the data in this experiment? - Answers Z test for difference between tow proportions The Wall Street Journal recently published an article indicating differences in perception of sexual harassment on the job between men and women. The article claimed that women perceived the problem to be much more prevalent than did men. One question asked of both men and women was:"Do you think sexual harassment is a major problem in the American workplace?" 24% of the men compared to 62% of the women responded "Yes". Assuming W designates women's responses and M designates men's, what hypothesis should The Wall Street Journal test in order to show that is claim is true? - Answers H0:πW - πM = 0 Vs. H1: πW - πM 0 In a one-way ANOVA, if the computed F-statistic is greater than the critical F value you may - Answers reject H0 since there is evidence that not all the means are the same When would you use the Tukey-Kramer procedure? - Answers To test for differences in pairs of means The F test statistic in a one-way ANOVA is - Answers MSA/MSW In a one-way ANOVA, the null hypothesis is always - Answers there is no difference in the population means. An airline wants to select a computer software package for its reservation system. Four software packages (1,2,3,&4) are commercially available. The airline will choose the package that bumps the fewest mean number of passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is given below. How should the data be analyzed? Package 1: 12, 14, 9, 11, 16 Package 2: 2, 4, 7, 3, 1 Package 3: 10, 9, 6, 10, 12 Package 4: 7, 6, 6, 15, 12 - Answers One-way ANOVA F test If you are comparing the mean sales among 3 different brands you are dealing with a three-way ANOVA design. - Answers False In a one-factor ANOVA analysis, the among sum of squares and within sum of square must add up to the total sum of square. - Answers True An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following output: Referring to Table 11-1, the within groups of degrees of freedom is - Answers 16 An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following output: Refering to Table 11-1, the among group (between-group) mean squares is - Answers 70.8 An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) The number of passengers bumped each week is obtained, which gives rise to the following output: Reffering to table 11-1, at a significance level of 1% - Answers There is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same. If we wish to determine whether there is evidence that the proportion of items of interest is the same in group 1 as in group 2, the appropriate test to use is - Answers Both the Z test and the X2 Test The squared difference between the observed and theoretical frequencies should be large if there is no significant difference between the proportions - Answers False A test for whether one proportion is higher than the other can be performed using the chi-square distribution - Answers False A computer used by a 24-hour banking service is supposed to randomly assign each tansaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors Memory Location 1 2 3 4 5 Number of Reported Errors Number of Correct Transactions The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. Referring to Table 12-4, which test would be used to properly analyze the data in this experiment? - Answers X2 test for difference among more than two proportions. A computer used by a 24-hour banking service is supposed to randomly assign each tansaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors Memory Location 1 2 3 4 5 Number of Reported Errors Number of Correct Transactions The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. Referring to Table 12-4, the calculated value of the test statistic is - Answers 1.500 A computer used by a 24-hour banking service is supposed to randomly assign each tansaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors Memory Location 1 2 3 4 5 Number of Reported Errors Number of Correct Transactions The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ. Referring to Table 12-4, at 1% level of significance - Answers there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same The director of admissions at a state college is interested in seeing if admissions status (admitted waiting list, denied admission at his college is independent of the type of community in which an applicant resides He take a sample of recent admissions decisions and forms the following table He will use the table to do a Chi-square test with a level of significance of 0.01 Referrring to Table 12-11, the alternative hypothesis claims that "there is some connection between admission status at the college and the type of community in which an applicant resides" - Answers True Recent studies have found that American children are more obese that in the past. The amount of time children spent watching television has received much of the blame. A survey of 100 ten year olds revealed the following with regards to weights and average number of hours a day spent watching television. We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% of significance. Referring to Table 12-13, If there is no connection between weights and average numbers of hours spent watching TV, we should expect how many children to be spending more than 6 hours on average watching TV and are more than 10 lbs. underweight? - Answers 8 Recent studies have found that American children are more obese that in the past. The amount of time children spent watching television has received much of the blame. A survey of 100 ten year olds revealed the following with regards to weights and average number of hours a day spent watching television. We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% of significance. Referring to Table 12-13, suppose the value of the test statistic was 30.00 (which is not the correct value) and the critical value at 1% level of significance was 10.00 (which is not the correct value), which of the following conclusions would be correct? - Answers We will reject the mull and conclude that mean number of hours spent watching TV and weights are not independent. The Y-intercept (b0) represents the - Answers predicted value when X = 0 the slope (b1) represents - Answers the estimated average change in Y per unit change in X. A candy bar manufacturer is interested in trying to estimate how sales are influenced by price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below River Falls $1.30 100 Hudson $1.60 90 Ellsworth $1.80 90 Prescott $2.00 40 Rock Elm $2.40 38 Stillwater $2.90 32 Referring to Table 13-2, what is the estimated mean change in the sales of the candy bar if price goes up by $1.00? - Answers -48.193 A candy bar manufacturer is interested in trying to estimate how sales are influenced by price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below River Falls $1.30 100 Hudson $1.60 90 Ellsworth $1.80 90 Prescott $2.00 40 Rock Elm $2.40 38 Stillwater $2.90 32 Referring to table 13-2, what is the coefficient of correlation for these data? - Answers -0.8854 A candy bar manufacturer is interested in trying to estimate how sales are influenced by price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below River Falls $1.30 100 Hudson $1.60 90 Ellsworth $1.80 90 Prescott $2.00 40 Rock Elm $2.40 38 Stillwater $2.90 32

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BNAL FINAL EXAM QUESTIONS WELL ANSWERED LATEST UPDATE 2026

If the p-value is less than a in a two-tail test, - Answers the null hypothesis should be rejected
A ____ is a numerical quantity computed from the data of a sample and is used in reaching a decision
on whether or not to reject the null hypothesis - Answers test statistic
if an economist wishes to determine whether there is evidence that mean family income in a
community exceeds $50,000 - Answers a one-tail test should be utilized.
If an economist wishes to determine whether there is evidence that mean family income in a
community equals $50,000 - Answers a two-tail test should be utilized.
the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the
club. she would now like to determine whether or not the mean age of her customers is greater than
30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment
changes will be made. The appropriate hypotheses to test are: - Answers H0 u =<30 vs H1: u > 30
The owner of a local night club has recently surveyed a random sample of n = 250 customers of the
club. She would now like to determine whether or not the mean age of her customers is greater than
30. If so, she plans to alter the entertainment to appeal to an older crowd. If not , no entertainment
changes will be made. suppose she found that the sample mean was 30.45 years and the sample
standard deviation was 5 years. If she wants to havae a level of significance at 0.02, what decision
should she make? - Answers Do no reject H0
The owner of a local nightclub has recently surveyed a random sample of n = 250 customer of the
club. She would now like to determine whether or not the mean age of her customers is greater than
30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment
changes will be made. Suppose she found that the sample mean was 30.45 years and the sample SD
was 5 years. If she wants to have a level of significance at 0.01 what conclusion can she make? -
Answers There is not sufficient eveidence that the mean age of her customers is greater than 30.
The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the
club. She would now like to determine whether or not the mean age of her customers is greater than
30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment
changes will be made. Suppose she found that the sample mean was 30.45 years and the sample
standard deviation was 5 years. What is the p-value associated with the test statistic? - Answers
0.0780
Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.043. The null
hypothesesis should be rejected if the chosen level of significance is 0.05. - Answers True
suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.034. The null
hypothesis should be rejected if the chosen level of significance is 0.01. - Answers False
In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test. - Answers False
The statement of the null hypothesis always contains an equality - Answers True
The larger the p-value, the more likely you are to reject the null hypothesis - Answers False
The smaller the p-value, the stronger the evidence is against the null hypothesis - Answers True
The t test for the difference between the means of 2 independent populations assumes that the
repective - Answers populations are approximately normal
In testing for differences between the means of two independent populations, the null hypothesis is -
Answers H0: u1-u2 = 0
the sample size in each independent sample must be the same if we are to test for differences
between the means of two independent populations - Answers False
A statistics professor wanted to test whether the grade on a statistics test were the same for upper
and lower classmen. The professor took a random sample of size 10 from each, conducted a test and
found out that the variances were equal. For this situation, the professor should use a t test with
related samples - Answers False
Are Japanese managers more motivated than American managers? A randomly selected group of
each were administered the Sarnoff Survey of Attitudes Towards Life, which measures motivation for
upward mobility. The SSATL scores are summarized below. Refeerring to Table 10-1, Judging from the
way the data were collected, which test would likely be most appropriate to employ? - Answers
Pooled-variance t test for the difference between two means
Are Japanese managers more motivated than American managers? A randomly selected group of
each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures
motivation for upward mobility. The SSATL scores are summarized below.

, Referring to Table 10-1, gice the null and alternative hypotheses to determine if the mean SSATL score
of Japanese managers differs from the mean SSATL score of American managers. - Answers H0: u j = 0
Vs. H1: u A - u j = 0
Are Japanese managers more motivated than American managers? A randomly selected group of
each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures
motivation for upward mobility. The SSATL scores are summarized below.

Referring to Table 10-1, what is the value of the test statistic? - Answers -11.8092
Are Japanese managers more motivated than American managers? A randomly selected group of
each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures
motivation for upward mobility. The SSATL scores are summarized below.

Reffering to Table 10-1, find the p-value if we assume that the alternative hypothesis was a two-tail
test. - Answers smaller that 0.01
A real estate company is interested in testing whether the mean team that families in Gotham have
been living in their current homes is less than families in Metropolis. Assume that the two population
variances are equal. A random sample of 100 families from Gotham and a random sample of 150
families in Metropolis yield the following data on length of residence in current homes

Reffering to table 10-3, which of the following represents the relevant hypotheses tested by the real
estate company? - Answers H) uG - uM >= Vs. uG-uM < 0
in what type of test is the variable of interest difference between the values of the observations
rather than the observations themselves? - Answers A test for the difference between the means of 2
related populations
In testing for differences between the means of two related populations, the null hypothesis is -
Answers H0: uD = 0.
A researcher is curious about the effect of sleep on students' test performances. He chooses 60
students and gives each two tests: one given after two hours' sleep and one after eight hours' sleep.
The test the researcher should use would be a related samples test. - Answers True
A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.
In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices
on various identical materials. He wants to compare these prices with those of his primary supplier.
The data collected is presented in the table below, with some summary statistics presented ( all of
these might not be necessary to answer the questions which follow.) The buyer believes that the
differences are normally distributed and will use this sample to perform an appropriate test at a level
of significance of 0.01.

Referring to Table 10-7, the test to perform is a - Answers paired t test for the mean difference
Moving companies are required by the government to publish a Carrier Performance Report each
year. One of the descriptive statistics they must include is the annual percentage of shipments on
which $50 or greater claim for loss or damage was filed. Suppose two companies, Econo-Move and
On-the-Move, each decide to estimate this figure by sampling their records, and they report the data
shown in the following table.

The owner of On-the-Move is hoping to use these data to show that the company is superior to
Econo-Move with regard to the percentage of claims filed. Which test would be used to properly
analyze the data in this experiment? - Answers Z test for difference between tow proportions
The Wall Street Journal recently published an article indicating differences in perception of sexual
harassment on the job between men and women. The article claimed that women perceived the
problem to be much more prevalent than did men. One question asked of both men and women
was:"Do you think sexual harassment is a major problem in the American workplace?" 24% of the
men compared to 62% of the women responded "Yes". Assuming W designates women's responses
and M designates men's, what hypothesis should The Wall Street Journal test in order to show that is
claim is true? - Answers H0:πW - πM =< 0 Vs. H1: πW - πM > 0
In a one-way ANOVA, if the computed F-statistic is greater than the critical F value you may - Answers
reject H0 since there is evidence that not all the means are the same

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