Question

Given the following hypothesis:  

H₀ : μ ≤ 13

H₁ : μ > 13

For a random sample of 10 observations, the sample mean was 17 and the sample standard deviation 3.20. Using the 0.100 significance level:

(a)	State the decision rule. (Round your answer to 3 decimal places.)

Reject H0 if t >

(b)	Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic

(c)	What is your decision regarding the null hypothesis?

(Click to select)Cannot rejectReject H0. There is (Click to select)insufficientsufficient evidence to conclude that the population mean is greater than 13.

Answer 1

a) Critical value = t_0.1,9 = 1.383

Reject H0, if t > 1.383

b) test statistic

                        

                         = 3.953

c) reject H0. There is sufficient evidence to conclude that the population mean is greater than 13