The following n = 10 observations are a sample from anormal population.
7.3 7.0 6.4 7.4 7.6 6.3 6.9 7.6 6.4 7.0
(a) Find the mean and standard deviation of these data. (Roundyour standard deviation to four decimal places.)
(b) Find a 99% upper one-sided confidence bound for the populationmean ?. (Round your answer to three decimal places.)
(c) Test H0: ? = 7.5 versusHa: ? < 7.5. Use ? =0.01.
State the test statistic. (Round your answer to three decimalplaces.)
t =
State the rejection region. (If the test is one-tailed, enter NONEfor the unused region. Round your answers to three decimalplaces.)
State the conclusion.
H0 is rejected. There is insufficientevidence to conclude that the mean is less than 7.5.
H0 is not rejected. There is sufficientevidence to conclude that the mean is less than7.5.
H0 is not rejected. There is insufficientevidence to conclude that the mean is less than 7.5.
H0 is rejected. There is sufficient evidenceto conclude that the mean is less than 7.5.
(d) Do the results of part (b) support your conclusion in part(c)?
Yes
No
