Use the "Hypothesis Testing for a Mean of Two Independent Samples" feature in the Analysis menu of the statdisk software to perform the required hypothesis test including a confidence interval for the case study. Report the means, sample sizes, and standard deviations that you used to perform the hypothesis test. State the null and alternative hypotheses, the critical value(s), the test statistic, the p-value, the confidence interval, the decision regarding the null hypothesis, and a final conclusion addressing the tested claim. Interpret both the hypothesis test results and the confidence interval, and discuss the implications of your findings in the larger context surrounding the case study.
Hypnosis test for heights of supermodels:
The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestova, Christenson, Hume, Moss, Campbell, Schiffer and Taylor. They have a mean of 70.0 in. and a standard deviation of 1.5 in. Data set 1 in Appendix B (in statdisk software) lists the heights of 40 women who are not supermodels, and they have heights with a mean of 63.2 in. and a standard deviation of 2.7 in. Use a 0.01 significance level to test the claim that the mean heights of supermodels is greater than the mean height of women who are not supermodels.
Confidence Interval for Heights of supermodels:
Use the above sample data to construct a 98% confidence interval for the difference between the mean heights of supermodels and the mean heights of women who are not supermodels. What does the result suggest about those two means?
The solution gives detailed steps on performing a hypothesis testing for two independent samples using the example of supermodel heights. The five-step of hypothesis testing is shown in detailes. Also, a calculation of confidence interval of mean difference is explained step-byistep with the same example.