The followingn= 10 observations are a sample from a normal population.

7.47.06.47.47.66.36.87.66.46.9

(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)meanstandard deviation

(b) Find a 99% upper one-sided confidence bound for the population mean. (Round your answer to three decimal places.)

(c) TestH₀:= 7.5 versusH_a:< 7.5. Use= 0.01.

State the test statistic. (Round your answer to three decimal places.)

t=

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)t>t<

State the conclusion.

H₀is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.

H₀is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.

H₀is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.

H₀is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.

(d) Do the results of part (b) support your conclusion in part (c)?

Yes

No