9.  Do students sleep more in Pennsylvania or in California? A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: Penn State University:       n=190       sample mean = 7.17       s = 1.95 University of California, Davis:       n=173       sample mean = 6.83       s = 1.71 Does the data show that the mean number of hours that Penn State University students sleep per night is significantly different from the mean number of hours that University of California, Davis students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (a) What type of hypothesis test is this (think Step 1)?

9.  Do students sleep more in Pennsylvania or in California? A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: Penn State University:       n=190       sample mean = 7.17       s = 1.95 University of California, Davis:       n=173       sample mean = 6.83       s = 1.71 Does the data show that the mean number of hours that Penn State University students sleep per night is significantly different from the mean number of hours that University of California, Davis students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (a) What type of hypothesis test is this (think Step 1)?

7.  Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?”  Conduct a test of hypothesis to determine if this data (279 out of 507) shows that the population proportion of adult American Catholics who favor allowing women to be priests is more than 0.50. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (a) Which of the following best represents the hypothesis for Step 1 the hypothesis test?

8.  Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?”   Construct and interpret a 90% confidence interval for the population proportion of adult American Catholics who favor allowing women to be priests. (c) What is the z-value for the 90% confidence interval?

9.  Do students sleep more in Pennsylvania or in California? A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: Penn State University:       n=190       sample mean = 7.17       s = 1.95 University of California, Davis:       n=173       sample mean = 6.83       s = 1.71 Does the data show that the mean number of hours that Penn State University students sleep per night is significantly different from the mean number of hours that University of California, Davis students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (e) What is the conclusion in the context of the problem for Step 5 of the hypothesis test?

9.  Do students sleep more in Pennsylvania or in California? A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: Penn State University:       n=190       sample mean = 7.17       s = 1.95 University of California, Davis:       n=173       sample mean = 6.83       s = 1.71 Does the data show that the mean number of hours that Penn State University students sleep per night is significantly different from the mean number of hours that University of California, Davis students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (e) What is the conclusion in the context of the problem for Step 5 of the hypothesis test?

5. A professor at Santa Fe College for STA2023 collected data from one of her classes in the Fall of 2017 to investigate the relationship between study time per week (average number of hours) and college GPA. The data for males in her class is given below: Study hours per week 5 6 10 12 13 15 21 25 GPA (grade point average) 2.7 3.0 3.1 3.3 3.2 3.4 3.8 3.6 Find the equation of the regression line using the least squares approach.  You may use the appropriate procedure in your calculator to help you find the solution.  Clearly label, the slope, the y-intercept and the regression equation. (b) What is the y-intercept?

8.  Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?”   Construct and interpret a 90% confidence interval for the population proportion of adult American Catholics who favor allowing women to be priests. (d) What is the lower bound of the 90% confidence interval?

6.  The following are Blood Alcohol Contents (BAC’s) of a random sample of drivers arrested last New Years Eve in Gainesville by the Florida Highway Patrol (FHP):  0.09, 0.11, 0.14, 0.25, 0.09, 0.20, 0.10.  Assume that the population of BAC’s is normally distributed. (b) Calculate the sample standard deviation.

7.  Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?”  Conduct a test of hypothesis to determine if this data (279 out of 507) shows that the population proportion of adult American Catholics who favor allowing women to be priests is more than 0.50. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (e) What is the conclusion in the context of the problem for Step 5 of the hypothesis test?