A sample of 47 observations is selected from a normal popula

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05 significance level. H0 : 29 H1 : > 29 (a) Is this a one- or two-tailed test? \"One-tailed\"-the alternate hypothesis is greater than direction. \"Two-tailed\"-the alternate hypothesis is different from direction. (b) What is the decision rule? (Round your answer to 2 decimal places.) (Click to select)RejectDo not reject H0,when z > (c) What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic (d) What is your decision regarding H0? Do not reject Reject There is (Click to select)sufficient/insufficient evidence to conclude that the population mean is greater than 29. (e) What is the p-value? (Round your answer to 4 decimal places.)

Solution

a)

\"One-tailed\"-the alternate hypothesis is greater than direction

b)

for alpha = 0.05

reject Ho if Z > 1.64

c)

Z = 30-29 / [5 /srqt (47)]

Z = 1.37

d)

we fail to reject Ho ( accept Ho)

There is /insufficient evidence to conclude that the population mean is greater than 29

p value : 0.0853