Question

# A sample of 39 observations is selected from a normal population. The sample mean is 19,...

 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 ________

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

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