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Mathematics, 15.07.2020 01:01 jilliangillespie

Test the claim that the mean BMI for the major league baseball players is more than 25.In order to receive full credit, you must show your work for all steps in hypothesis testing (traditional method).Step 1 State the hypotheses and identify the claim. Step 2 Find the critical value(s) from the appropriate table in Appendix C. Step 3 Compute the test value. Step 4 Make the decision to reject or not reject the null hypothesis. Step 5 Summarize the results. Make sure to justify your answers. The correct answers without any work will receive little or no credit. Data collected:The data set below contains 100 records of heights and weights for some current and recent Major League Baseball (MLB)players. Use the data set to answer the following:1. Compute the body mass index (BMI) (703 times weight in pounds, divided by the square of the height in inches) of each major league baseball player. BMI= 703 (weight in pounds) / (height in inches) 2Weight = 202.9, standard deviation of weights = 21.25Height =73.83, standard deviation = 2.31Therefore, BMI= (703*202)/74 = 26.1593 = 26.162. Find the mean and the standard deviation of the data set. n= 99 (number of players in the sample)X= 26.1593 mean of BMI of samples= 2.3163 standard deviation of the sample3. Compute a 95% confidence interval for the mean BMI of a major league baseball player.99-1= 98I get t from the t-tablesAlpha= 0.05t= 1.9845 Confidence interval is:26.1593+- 1.9845 (2.3163/sq root 99)95% confidence interval of mean BMI is (25.6973, 26.6213)4. A BMI score greater than 25 but less than 30 is considered overweight. Does the confidence interval indicate that the mean for BMI could be in the overweight range?BMI score greater than 25 and less than 30 is considered overweight. Since the lower bound of the confidence interval is greater than 25, the means would be greater than 25.Hence, Confidence interval indicates that the mean BMI could be in overweight range.

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