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.

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?

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

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