A sample of 30 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 6. Conduct the following test of hypothesis using the .05 significance level.

H₀: 20H₁: > 20

(a)Is this a one- or two-tailed test?"Two-tailed"-the alternate hypothesis is different from direction."One-tailed"-the alternate hypothesis is greater than direction.

(b)What is the decision rule?(Round your answer to 2 decimal places.)

Do not reject

Reject

H₀,when z >

(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 regardingH₀?Do not rejectReject

There is

insufficient

sufficient

evidence to conclude that the population mean is greater than 20.

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

p-value