1.Researchers at Washington State University were interested in how people's consideration of future consequences (CFC) influenced their use of credit cards.Here are summary data from aztest regarding scores on the CFC scale: The population mean() is 3.20 and the population standard deviation()is 0.70. Imagine that a sample of students had a mean of 3.45. Don't forget to show your work for a, b, & c. Credit will not be given for these items if work is not shown.

a)Calculate the test statistic for a sample of 5 students.

b)Calculate the test statistic for a sample of 1000 students.

c)Calculate the test statistic for a sample of 1,000,000 students.

d)Explain why the test statistic varies so much even though the population mean, population standard deviation, and sample mean do not change.

e)Why might sample size pose a problem for hypothesis testing and the conclusions we can draw?

2.Let's assume that the average first serve of all pro tennis players is around 130 mph, with a standard deviation of 12 mph. We recruit 100 amateur tennis players to use our new training method inspired by these top players to see if our training method makes any difference in their serve. After 6 months we calculate a group mean of 123 mph. Don't forget to show your work for a, b, & c. Credit will not be given for these items if work is not shown.

a)Test the hypothesis that our method makes a difference. You'll need to run the appropriate Z test (assuming a 2-tailed [non-directional hypothesis], with p<.05).

b)Compute the 95% confidence interval for the above information.

c)Compute the effect size and describe its strength.

d)Based on the information that you have provided for both a and b, what can you conclude about whether our training method makes a difference?