Question

USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of ?̅= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance.

a.) What is α? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?

α =

H0 : μ =__

H1 : μ ___ (not =, <, >)

The test is a:______

two-tailed, left-tailed, or right-tailed test

b.) Identify the Sampling Distribution you will use. What is the value of the test statistic?

The best sampling distribution to use is the:

Normal

OR

Student's t.

The test statistic (z or t value) is =

c.) Find or estimate the P-value for the test.

The p-value is = ____

Between 0.100 and 0.125

Between 0.050 and 0.075

Between 0.025 and 0.050

Between 0.075 and 0.100

Between 0.010 and 0.025

d.) Conclude the test. Based on this we will:

Fail to reject

Reject the null hypothesis.

Answer 1