5. An exercise science professor at a large university conducted a study to investigate someof the health benefits of Zumba. He recorded the weight of 9 female college studentsbefore they began a six week long Zumba program. As part of the program, they tooka 60 minute long Zumba class three days a week. At the end of the program, thesubjects were weighed again. Of interest is their weight loss, defined as weight beforethe program started minus weight after completing the program.StudentBefore Weight 134After Weight12356 7 8152 145120 136 129163 147 131131147 144121134125 156 144 131Some R code is provided below:before <- c(134, 152, 145, 120, 136, 129, 163, 147, 131)after <- c(131, 147, 144, 121, 134, 125, 156, 144, 131)R CODE (OPTION 1):t.test(before, after, alternative="greater") t.test(before, after, paired=T, alternative="greater")R CODE (OPTION 2):Welch Two Sample t-testPaired t-testdata:before and afterdata: before and aftert = 0.45808, df = 15.659, p-value = 0.3266alternative hypothesis: true difference...95 percent confidence interval:t = 3.2, df = 8, p-value = 0.006306alternative hypothesis: true difference...95 percent confidence interval:-7.510436Inf1.117043Infsample estimates:mean of the differencessample estimates:mean of x mean of y139.6667 137.00002.666667Test, at the 1% significance level, if there is evidence that the Zumba program is effectivefor weight loss.(a) Write the null and alternative hypotheses is in words(b) State the appropriate test statistic. State it's distribution under the null hypothesis(and give the the associated degrees of freedom if appropriate).(c) State the p-value.(d) What is the conclusion of the hypothesis test? Be sure to talk about the contextof this problem.

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Description: 5. An exercise science professor at a large university conducted a study to investigate someof the health benefits of Zumba. He recorded the weight of 9 female college studentsbefore they began a six week long Zumba program. As part of the program,

Test is that whether the Zumba program is effective for weight loss.

Math

Statistics

) Write the null and alternative hypotheses is in words O State the appropriate test statistic. State it's distribution under the null hypothesis (and give the the associated degrees of freedom if appropriate). O State the p-value. O What is the conclusion of the hypothesis test? Be sure to talk about the context of this problem.

) Write the null and alternative hypotheses is in words O State the appropriate test statistic. State it's distribution under the null hypothesis (and give the the associated degrees of freedom if appropriate). O State the p-value. O What is the conclusion of the hypothesis test? Be sure to talk about the context of this problem.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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