Consider the sample below: 48 26 52 32 21 46 23 21 32 40 32 50 44 47 37 45 29 45
ID: 2919102 • Letter: C
Question
Consider the sample below: 48 26 52 32 21 46 23 21 32 40 32 50 44 47 37 45 29 45 37 47 39 46 41 30 40 42 34 32 49 27 36 31 43 Suppose we wish to test the following hypotheses for thedata: Ho: </equal to 40 Ha: > 40 calculate the mean and the standard deviation of the dataabove. a) compute the approximate test statistic for testing Ho (Showall work). b) determine the critical value for a=0.01 c) test Ho using the traditional/classic method. d) state the decision based on the results of the test. e) had you used the p-value method of hypothesis testing, whatwould the p-value have been? Consider the sample below: 48 26 52 32 21 46 23 21 32 40 32 50 44 47 37 45 29 45 37 47 39 46 41 30 40 42 34 32 49 27 36 31 43 Suppose we wish to test the following hypotheses for thedata: Ho: </equal to 40 Ha: > 40 calculate the mean and the standard deviation of the dataabove. a) compute the approximate test statistic for testing Ho (Showall work). b) determine the critical value for a=0.01 c) test Ho using the traditional/classic method. d) state the decision based on the results of the test. e) had you used the p-value method of hypothesis testing, whatwould the p-value have been?Explanation / Answer
calculate the mean and the standard deviation of the dataabove.mean=xbar=37.7
sd=8.78
a) compute the approximate test statistic for testing Ho (Showall work).
Z=(xbar-)/(sd/n)
=(37.7-40)/(8.78/sqrt(33))
=-1.5
b) determine the critical value for a=0.01
Z(0.01)=-2.326 (check normaltable)
c) test Ho using the traditional/classic method.
Since Z=-1.5>-2.326, we do not rejectHo.
d) state the decision based on the results of the test.
Thus, we can conclude that </equal to40. e) had you used the p-value method of hypothesis testing, whatwould the p-value have been?
p-value=P(Z>-1.5)=0.9332 (check normaltable)