A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is76years. A random sample of 20 obituary notices in theHonolulu Advertizergave the following information about life span (in years) of Honolulu residents.

72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27

Find the sample mean and standard deviation -xands.

If life span in Honolulu is approximately normally distributed,

does this information indicate that the population mean life span for Honolulu

residents is less than76years? Use a 5% level of significance.

What is the level of significance?

State the null and alternate hypotheses.

What sampling distribution will you use? Explain the rationale

for your choice of sampling distribution.

What is the value of the sample test statistic?

Estimate theP-value.

Sketch the sampling distribution and show the area corresponding

to theP-value.

Based on your answers, will you reject or fail to reject the

null hypothesis? Are the data statistically significant at level?

Interpret your conclusion in the context of the application.