Question

A sample of 39 observations is selected from a normal population. The sample mean is 19, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.10 significance level.

H₀: μ ≤ 18

H₁: μ >18

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

Two-tailed test

One-tailed test

b.	What is the decision rule?

Reject H₀ when z ≤ 1.282

Reject H₀ when z > 1.282

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?

Fail to reject H₀

Reject H₀

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

p-value

________

Answer 1

a) Option-B) One-tailed test

b) Option-B) Reject H₀ when z > 1.282

c) test statistic

                       

                        = 1.56

d) Option-B) Reject H₀

e) p-value = P(Z > 1.56) = 1 - P(Z < 1.56) = 1 - 0.9406 = 0.0594