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?

αα =

H0H0: μμ =

H1H1: μμ Select an answer < not = >  

The test is a Select an answer left-tailed two-tailed 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 Select an answer Student's t Normal  distribution.

The test statistic (z or t value) is =

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

The p-value is = Select an answer Between 0.025 and 0.050 Between 0.075 and 0.100 Between 0.050 and 0.075 Between 0.100 and 0.125 Between 0.010 and 0.025

d.) Conclude the test.

Based on this we will Select an answer Fail to reject Reject  the null hypothesis.

Answer 1