Question: Given the following hypotheses: H0: 20 H1: < 20 A random sample of five resulted in the following values: 18, 15, 12, 19,

Given the following hypotheses:

H0: µ ≥20

H1: µ < 20

A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the .01 significance level, can we conclude the population mean is less than 20?

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

d. Estimate the p-value.

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