A national newspaper reported that the state with the

Last updated: 2/15/2024

A national newspaper reported that the state with the longest mean life span is Hawaii where the population mean life span is 74 years A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span in years of Honolulu residents X 72 68 81 93 56 19 78 94 83 84 47 66 69 85 97 75 71 86 S 77 USE SALT a Use a calculator with sample mean and standard deviation keys to find and s in years Round your answers to four decimal places x x b Assuming that life span in Honolulu is approximately normally distributed does this information indicate that the population mean life span for Honolulu residents is less than 74 years Use a 5 level of significance 1 What is the level of significance 0 05 27 State the null and alternate hypotheses in years Enter for as needed Ho 74 H X ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and is unknown We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places iii Estimate the P value P value 0 250 0 100 P value 0 250 0 050 P value 0 100 0 010 P value 0 050 P value 0 010