1. Twenty male athletes were given a special candy bar daily for several weeks, and each...

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Statistics

1. Twenty male athletes were given a special candy bar daily forseveral weeks, and each manâ€™s body weight was recorded. It is foundthat the mean change in body weight was +1.5 kg. The variance ofthese 20 data of weight-change has been estimated as s2 = 6.25 kg2.(50 pts) â€“ t distribution and chi-square distribution tables areincluded.
(a) Test the null hypothesis that the candy bar has NOsignificant effect on body weight.
(b) Test the null hypothesis that the candy bar will havepositive impact on the body weight
change.
(c) Test the null hypothesis that H0: ?2 = 3.00 kg2
(d) Test the null hypothesis that H0: Ïƒ2 â‰¥ 5.00 kg2

Answer & Explanation Solved by verified expert

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aState the hypotheses The first step is tostate the null hypothesis and an alternative hypothesisNull hypothesis ud 0Alternative hypothesis ud 0Note that these hypotheses constitute a twotailed testFormulate an analysis plan For this analysisthe significance level is 005 Using sample data we will conducta matchedpairs ttest of the null hypothesisAnalyze sample data Using sample data wecompute the standard deviation of the differences s the standarderror SE of the mean difference the degrees of freedom DF andthe t statistic test statistic ts2 625SE s sqrtnSE 13975DF n 1 20 1DF 19t x1 x2 D SEt 1073where See Answer

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