Help would be greatly appreciated for answering this question :) Problem 1: Supplement for WeightliftingImagine you are a statistical consultant and your client, a weightlifting supplement company, islooking to see if their product is effective in increasing muscle mass gained over a training cycle.You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20to take a placebo. You have both groups run the same controlled training program over 12 weeksand calculated their whole body lean mass difference in pounds from the beginning to the end ofthe program. Can you infer that the supplement group gained more muscle mass on average thanthe placebo group? Use a = 0.05 for any hypothesis test.a) State the research question in one sentence.a. Do female weightlifters in the supplement group who receive the supplement over12 weeks gain more muscle mass, on average, than those in the placebo groupwho receive no supplement?b) Use the question to determine the parameter we are using to conduct statistical inference.Describe this parameter in one sentence using symbols and a description.a. The parameter used to conduct the statistical inference is the difference betweenthe average whole body lean mass difference (pounds) from beginning to end ofthe program for the supplement group and the placebo group.c)State the correct hypotheses for this question.d) Provide a QQ Plot and a box plot to analyze the shape of each of the sample distributions.e) Comment on the shape of the distributions and determine if outliers are present. Writeone or two sentences to describe each distribution.f)Conduct a full F-test to check the equality of the variances (you can assume thepopulations are normal so you can conduct this test). State the hypotheses, calculate thetest statistic, make a decision, and draw a conclusion. You may use technology tocomplete the work.g) Comment on additional methods or strategies to consider when checking if the twopopulation variances are equal.h) Using your work in parts (d) - (g), list all the conditions necessary to complete theoriginal hypothesis test (the hypothesis test based on the original research question).Calculate the test statistic of this hypothesis test (you may use technology).j) Construct a Rejection Region graph in StatCrunch.i)k) Calculate the P-value using technology (write the probability statement as well as theexact probability).1) Make a decision whether or not to reject or not reject the null hypothesis using both therejection region and the p-value.m) Draw a conclusion by answering the research question. Problem 2: Supplement for Weightlifting ContinuedIn comparison to the previous problem, let us say that the weightlifting supplement companyinformed you that how long a female weightlifter has been lifting impacts the amount of musclemass they can gain. Suppose that you changed your data collection method from what you did inProblem 1. Now you randomly select one weightlifter from each group (supplement andplacebo) that have been lifting for 39 to 40 months. Next, you randomly sample one weightlifterfrom each group that have been lifting for 37 to 38 months. Then, you continue this process untilthe 20th pair of weightlifters have lifted for 2 months or less. The data contains the whole bodylean mass difference in pounds and training experience in months. Can you infer that thesupplement group gained more muscle mass on average than the placebo group? Use α = 0.05for any hypothesis test.a) State the research question in one sentence.b)Use the question to determine the parameter we are using to conduct statistical inference.Describe this parameter in one sentence using symbols and a description.c) State the correct hypotheses for this question.d) Provide a QQ Plot and a box plot of the differences.e) Comment on the shape of the distribution and determine if outliers are present.f) List the conditions necessary to complete this problem.g) Calculate the test statistic (you may use technology).h) Construct a Rejection Region graph in StatCrunch.i)Calculate the P-value using technology (write the probability statement as well as theexact probability).j)Make a decision whether or not to reject or not reject the null hypothesis using both therejection region and the p-value.k) Draw a conclusion by answering the research question being posed.1) Comment on the difference in your results from problems 1 and 2. What do you notice?Problem 3: Confidence IntervalsConstruct a 95% confidence interval estimating the difference between means for both problem 1and problem 2 and interpret each confidence interval. Comparing the two confidence intervals,what do you notice?

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Problem 1: Supplement for Weightlifting Imagine you are a statistical consultant and your client, a weightlifting supplement company, is looking to see if their product is effective in increasing muscle mass gained over a training cycle. You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20 to take a placebo. You have both groups run the same controlled training program over 12 weeks and calculated their whole body lean mass difference in pounds from the beginning to the end of the program. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. a) State the research question in one sentence. a. Do female weightlifters in the supplement group who receive the supplement over 12 weeks gain more muscle mass, on average, than those in the placebo group who receive no supplement? b) Use the question to determine the parameter we are using to conduct statistical inference. Describe this parameter in one sentence using symbols and a description. a. The parameter used to conduct the statistical inference is the difference between the average whole body lean mass difference (pounds) from beginning to end of the program for the supplement group and the placebo group. c) State the correct hypotheses for this question.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P