1.Height data, collected at the beginning of the semester, has a mean, x = 68.21 inches, and a standard deviation of s = 4.01 inches. The sample size of the data was n = 36. Suppose the data collected could be considered a random sample of WCU students.

a.Construct a 99% confidence interval for the mean height of all WCU students. Show your work.

b.write a conclusion for the interval you calculated in part a.

c.What sample size would be needed for the 99% confidence interval, calculated in part a, to have a margin of error, B, within 0.25? show all work

2.A class, at WCU, contains 13 females and 21 males. Suppose this class in considered a random sample of undergraduate students that attend WCU. Is there convincing evidence to suggest that more than 25% of the undergraduate students that attend WCU are female students?

a.Give an appropriate hypothesis for this test

b.Calculate the test statistic algebraically. Show your calculations.

c.What is the o-value?

d.Make a conclusion of your test result based on a significance level of = .05. your conclusion should be 2 sentences long using complete sentences!

3.Given a variable that has a t distribution, what is the confidence level associated with the given sample size and t-score?

a.N = 11, t = 1.812

b.N = 25, t = 3.091

4.Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU student that have a faster reaction time with their right hand than with their left hand.

a.Construct a 95% confidence interval. show your work

b.Write a conclusion for the interval you calculated in part a.

c.What sample size would be needed for the 95% confidence interval, calculated in part a, to have a margin of error, B, within .01? show all work