Math 399 Week 8 Final Exam
with 100% correct answers
2025
Determine the critical value or values for a one-mean z-test at the
1% significance level if the hypothesis test is right-tailed (Ha:μ>μ0).
- answer 2.326
Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many
customers should the manager survey in order to be 98% confident
that the estimated (sample) proportion is within 4 percentage
points of the true population proportion of customers who are
males? - answer 846
Find the linear regression line for the following table of values. You
will need to use a calculator, spreadsheet, or statistical software.
Enter your answer in the form y=mx+b, with m and b both rounded
to two decimal places. - answer y = 1.44x + 3.13
The finishing time for cyclists in a race are normally distributed with
an unknown population mean and standard deviation. If a random
sample of 25 cyclists is taken to estimate the mean finishing time,
what t-score should be used to find a 98% confidence interval
estimate for the population mean? - answer 2.492
In which of the following situations can multiple regression be
performed? Select all that apply. - answer predicting the current
salary of an employee, given the initial salary and the number of
years the employee has been in his or her current position.
, predicting the number of home runs a baseball player will hit in the
next season, given the number of home runs the player hit in the
previous season and the number of doubles the player hit in the
previous season
Hugo is keeping track of the total amount of money he has saved
over time. The line graph below shows the data.
How much, in hundreds of dollars, did Hugo save from month 0 to 4?
- answer 11 hundred dollars
Tanya loves to walk in the park everyday after work. Given the
frequency table below for a list of miles walked daily over the past
few weeks, find the mean. (Please do not include the units in your
answer.) - answer 12
A college professor claims the proportion of students that complete
a homework assignment is 70%. To test this claim, a random sample
of students are monitored and checked if they completed the
homework for the algebra class.
Assume that the test statistic for this hypothesis test is −1.73.
Since this is a two tailed hypothesis test, assume that the critical
values for this hypothesis test are −1.96 and 1.96.
Come to a decision for the hypothesis test and interpret your results
with respect to the original claim. - answer Fail to reject the null
hypothesis.There is not enough evidence to reject the claim that the
proportion of students that complete a homework assignment is
70%.
A teacher claims that the proportion of students expected to pass
an exam is greater than 80%. To test this claim, the teacher
administers the test to 200 random students and determines that
151 students pass the exam.
The following is the setup for this hypothesis test:
{H0:p=0.80Ha:p>0.80
with 100% correct answers
2025
Determine the critical value or values for a one-mean z-test at the
1% significance level if the hypothesis test is right-tailed (Ha:μ>μ0).
- answer 2.326
Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many
customers should the manager survey in order to be 98% confident
that the estimated (sample) proportion is within 4 percentage
points of the true population proportion of customers who are
males? - answer 846
Find the linear regression line for the following table of values. You
will need to use a calculator, spreadsheet, or statistical software.
Enter your answer in the form y=mx+b, with m and b both rounded
to two decimal places. - answer y = 1.44x + 3.13
The finishing time for cyclists in a race are normally distributed with
an unknown population mean and standard deviation. If a random
sample of 25 cyclists is taken to estimate the mean finishing time,
what t-score should be used to find a 98% confidence interval
estimate for the population mean? - answer 2.492
In which of the following situations can multiple regression be
performed? Select all that apply. - answer predicting the current
salary of an employee, given the initial salary and the number of
years the employee has been in his or her current position.
, predicting the number of home runs a baseball player will hit in the
next season, given the number of home runs the player hit in the
previous season and the number of doubles the player hit in the
previous season
Hugo is keeping track of the total amount of money he has saved
over time. The line graph below shows the data.
How much, in hundreds of dollars, did Hugo save from month 0 to 4?
- answer 11 hundred dollars
Tanya loves to walk in the park everyday after work. Given the
frequency table below for a list of miles walked daily over the past
few weeks, find the mean. (Please do not include the units in your
answer.) - answer 12
A college professor claims the proportion of students that complete
a homework assignment is 70%. To test this claim, a random sample
of students are monitored and checked if they completed the
homework for the algebra class.
Assume that the test statistic for this hypothesis test is −1.73.
Since this is a two tailed hypothesis test, assume that the critical
values for this hypothesis test are −1.96 and 1.96.
Come to a decision for the hypothesis test and interpret your results
with respect to the original claim. - answer Fail to reject the null
hypothesis.There is not enough evidence to reject the claim that the
proportion of students that complete a homework assignment is
70%.
A teacher claims that the proportion of students expected to pass
an exam is greater than 80%. To test this claim, the teacher
administers the test to 200 random students and determines that
151 students pass the exam.
The following is the setup for this hypothesis test:
{H0:p=0.80Ha:p>0.80
