Question

A sample of 78 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 8.

Conduct the following test of hypothesis using the 0.05 significance level.

H₀ : μ ≤ 28

H₁ : μ > 28

a. Is this a one- or two-tailed test?

(Click to select)  One-tailed test  Two-tailed test

b. What is the decision rule? (Round the final answer to 3 decimal places.)

(Click to select)  Reject  Accept  H₀ and  (Click to select)  accept reject  H₁ when z >.

c. What is the value of the test statistic? (Round the final answer to 2 decimal places.)

Value of the test statistic

d. What is your decision regarding H₀?

(Click to select)  Do not reject  Reject  H₀.

There is  (Click to select)  not enough evidence to conclude that the population mean is greater than 28.

e. What is the p-value? (Round the final answer to 4 decimal places.)

Answer 1

(a)

One-tailed test .

(b)

Reject H₀ z > 1.645

(c)

Test statistic = z

= ( - ) /    / n

= (29 - 28) / 8 / 78

= 1.10

Test statistic = 1.10

(d)

Reject  H₀.  

(e)

P-value = 0.1348