A company wants to detemine whether its consumer product ratings (0 - 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a= 0.05, is there enough evidence Consumer Rating (last year) Rating (this year) conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f). 4 6 3 4 8 5 1 6. 8. 3 ww -wwp w ww yp Identify the rejection region. Choose the correct answer below. O A. t>1.895 YB. t< -2.365, t> 2.365 O C. t<-2.365 O D. t< -1.895, t> 1.895 (c) Calculate d and sg. d= 1.375 (Type an integer or a decimal.) Calculate sa S- 1.923 (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to find the standardized test statistic t. t= 2.022 (Type an integer or a decimal. Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Fail to reject the null hypothesis. O Reject the null hypothesis.

The academic planner of a university thinks that at least 34% of the entire student body attends summer school. Which of the following is the correct set of hypotheses to test his bélle ? Ho:p 0.34 H:ps 0.34 Ho: P2 0.34 H:p 0.34

A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? Will you reject the null hypothesis or not?

A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 32 cardholders has a mean credit card balance of $5,242 and a standard deviation of $575. At a = 0.01, can you support the claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and H2. Which of the following correctly states H, and H,? O A. Ho: µ> $5,100 Ha: us $5,100 В. Но: и- $5,100 Hai µ > $5,100 С. Но: 3 $5,100 Ha: u# $5,100 O D. Ho: µ2 $5,100 Ha:u $5,100 Ha: us $5,100 Ο F H0: μS $5,1 00 Ha: µ > $5,100 (b) Find the critical value and identify the rejection region. What is the critical value, to? to = 0 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the ansswer box within your choice. (Round to three decimal places as…