The population of male students at Gallup (NM) Community College have a men height of 67.5 inches. It is claimed that male students who try out for the basketball team are taller than the general population of male students. To test this claim a sample of n= 49 male students who try out for the basketball team have a mean height of 68.3 inches and a standard deviation of 2.8 inches. Test this claim at the 90 and 99% levels.

a) State the null hypothesis________________________

b) State the alternative hypothesis ________________________

c) In this problem, is it a one or two tail test? ________________

At the 90% confidence level, d) what is the critical value(s)?__________

e)What is the critical region to fail to reject null hypothesis?___________

f. What is the critical region to reject the null hypothesis? ____________

g) Compute the test statistic (show work)

h) What is the decision (at the 90% level) _________________.

at the 99% confidence level, i) what is the critical value(s)? ____________.

j) What is the critical region to fail to reject the null hypothesis?___________ .

k) What is the critical region to reject the null hypothesis? ____________.

You already did the test in part g)

l) What is the decision (at the 99% confidence level) _____________.

Hypothesis test using p value questions.

m) What is the critical p value at 90% confidence level) ___________.

n) What is the critical p value at 99% confidence level?______________.

o) What is the p value for the test statistic computed in g)? __________.