Sophia Introduction to Statistics
Unit 5 Practice Milestone 5
A researcher has a table of data with 3 column variables and 4 row variables.
The value for the degrees of freedom in order to calculate the Chi-square test statistic is .
6
Select the true statement about ANOVA.
If a researcher wants to study the effectiveness of three brands of cough medicine, the researcher should
use a One-Way ANOVA test.
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample
standard deviation is 2.728.
The driver’s manual for Betty’s car lists the mpg for her car as 25.
The t test statistic for a two-sided test would be .
3.198
Which of the following statements is NOT true about the distributions of counts and proportions?
For a large population, the count of failures for an SRS of size n does not have a binomial distribution.
Don conducted a survey of two groups of students that recently graduated from
N1=50, n2 =50
private and public colleges. He found that the mean debt for the students who attended private college
was $26,600, while those who attended public colleges had a mean debt of $24,400. Don wants to see if the
difference in mean debt is statistically significant.
What should Don state for the null hypothesis?
Null Hypothesis: There is no difference in the true mean debt between these two groups.
Alternative Hypothesis: There is at least some difference between the true mean debts for these two
groups.
Joan conducted a study to see how common binge drinking is on her college campus. She defined
“frequent binge drinking” as having five or more drinks in a row three or more times in the past two
weeks. Out of 593 students who replied to her survey, 64 fit this criterion.
The standard error for the sample proportion is .
0.013
, Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7.
The standard error of the sample mean for this set of data is .
1.11
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7.
If Betty wants to construct a one-sample t statistic, the value for the degrees of freedom would be
.
5
Population parameters and sample statistics are denoted using a specific set of symbols.
Select a symbol that is used to denote population parameters.
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample
standard deviation is 2.728.
Select the 95% confidence interval for Betty's set of data.
25.7 to 31.4
Joan conducted a study to see how common binge drinking is on her college campus. She defined
“frequent binge drinking” as having five or more drinks in a row three or more times in the past two
weeks. Out of 593 students who replied to her survey, 64 fit this criterion. Joan wants to construct a
significance test for her data. She finds that the proportion of binge drinkers nationally is 13.1%.
The z statistic for this data is .
-1.64
Karri tests the charges of a random sample of 64 batteries from a large production run. The mean charge
was 8.93 volts, and the process typically has a standard deviation of 0.2 volts.
To see if the batch has a significantly different mean voltage from 9 volts, the value of the z-test statistic
would be .
-2.8
Unit 5 Practice Milestone 5
A researcher has a table of data with 3 column variables and 4 row variables.
The value for the degrees of freedom in order to calculate the Chi-square test statistic is .
6
Select the true statement about ANOVA.
If a researcher wants to study the effectiveness of three brands of cough medicine, the researcher should
use a One-Way ANOVA test.
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample
standard deviation is 2.728.
The driver’s manual for Betty’s car lists the mpg for her car as 25.
The t test statistic for a two-sided test would be .
3.198
Which of the following statements is NOT true about the distributions of counts and proportions?
For a large population, the count of failures for an SRS of size n does not have a binomial distribution.
Don conducted a survey of two groups of students that recently graduated from
N1=50, n2 =50
private and public colleges. He found that the mean debt for the students who attended private college
was $26,600, while those who attended public colleges had a mean debt of $24,400. Don wants to see if the
difference in mean debt is statistically significant.
What should Don state for the null hypothesis?
Null Hypothesis: There is no difference in the true mean debt between these two groups.
Alternative Hypothesis: There is at least some difference between the true mean debts for these two
groups.
Joan conducted a study to see how common binge drinking is on her college campus. She defined
“frequent binge drinking” as having five or more drinks in a row three or more times in the past two
weeks. Out of 593 students who replied to her survey, 64 fit this criterion.
The standard error for the sample proportion is .
0.013
, Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7.
The standard error of the sample mean for this set of data is .
1.11
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7.
If Betty wants to construct a one-sample t statistic, the value for the degrees of freedom would be
.
5
Population parameters and sample statistics are denoted using a specific set of symbols.
Select a symbol that is used to denote population parameters.
Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample
standard deviation is 2.728.
Select the 95% confidence interval for Betty's set of data.
25.7 to 31.4
Joan conducted a study to see how common binge drinking is on her college campus. She defined
“frequent binge drinking” as having five or more drinks in a row three or more times in the past two
weeks. Out of 593 students who replied to her survey, 64 fit this criterion. Joan wants to construct a
significance test for her data. She finds that the proportion of binge drinkers nationally is 13.1%.
The z statistic for this data is .
-1.64
Karri tests the charges of a random sample of 64 batteries from a large production run. The mean charge
was 8.93 volts, and the process typically has a standard deviation of 0.2 volts.
To see if the batch has a significantly different mean voltage from 9 volts, the value of the z-test statistic
would be .
-2.8
