A national corporation has implemented incentives for employees to engage in a fitness program.  The program has been in effect for 3 years and the corporation claims that the average BMI among its male employees is lower than the national average for males.  The CDC list the average BMI for males to be 26.6.  Sample size = 40, sample mean = 25.74, standard deviation = 6.16557 Perform a hypothesis test at a level of significance of 0.05 to examine the claim by the corporation with respect to having a lower average BMI than the national average. Clearly state the hypotheses, Determine the rejection region, Compute the test statistic, Clearly state if the null hypothesis can be rejected and why or why not, Determine the p-value of the test and interpret all results of the hypothesis test. Also Determine 95% confidence interval about the population mean and 90% confidence interval about the population mean. For both parts 95% and 90%, make a statement about the ability to either support or reject the employer’s claim.

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A national corporation has implemented incentives for employees to engage in a fitness program.  The program has been in effect for 3 years and the corporation claims that the average BMI among its male employees is lower than the national average for males.  The CDC list the average BMI for males to be 26.6.  Sample size = 40, sample mean = 25.74, standard deviation = 6.16557

  1. Perform a hypothesis test at a level of significance of 0.05 to examine the claim by the corporation with respect to having a lower average BMI than the national average. Clearly state the hypotheses, Determine the rejection region, Compute the test statistic, Clearly state if the null hypothesis can be rejected and why or why not, Determine the p-value of the test and interpret all results of the hypothesis test. Also Determine 95% confidence interval about the population mean and 90% confidence interval about the population mean. For both parts 95% and 90%, make a statement about the ability to either support or reject the employer’s claim.

 

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