Given the following hypotheses:

H₀: 20

H₁: < 20

A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the 0.01 significance level, can we conclude the population mean is less than 20?

a.State the decision rule at 0.01 significance level.

A. RejectH₀ift> -3.747

or

B. RejectH₀ift< -3.747

b.Compute the value of the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

c-1.What is your decision regarding the null hypothesis?

A. Reject H0

or

B. Do not reject H0

c-2.Using the 0.01 significance level, can we conclude the population mean is less than 20?

Yes or No

d.Compute thep-value.(Round your answer to 4 decimal places.)