A local gym claims that, if you join today, you will lose at least 20 lbs in 6 months. Below is a sample of 15 individuals who joined the gym 6 months ago. Suppose we weigh these same individuals today to determine the accuracy of the gym's claim. Conduct a hypothesis test to determine if there is evidence to support the claim that the average new member loses at least 20lbs in the 6 months after they first join. (Show work for full credit, 10 pts) Weight on the day the member joined. (lbs) Weight of the member after 6 months. (lbs) Abigail 132 134 Bob 145 121 Caros 180 152 Devin 252 240 Emily 204 170 Fran 143 121 Gilberto 165 139 Hector 175 131 Irma 180 152 Jack 198 145 Kristen 152 125 Loren 221 192 Mike 205 182 Nancy 193 165 Oscar 184 154 Complete the hypothesis test below with a .02 level of significance. A. State the null and alternative hypotheses B. Specify the level of significance C. Compute the value of the test statistic D. Compute the p-value E. Reject the null hypothesis if the p-value ≤α F. Interpret the statistical conclusion in the context of the application

A local gym claims that, if you join today, you will lose at least 20 lbs in 6 months. Below is a sample of 15 individuals who joined the gym 6 months ago. Suppose we weigh these same individuals today to determine the accuracy of the gym's claim. Conduct a hypothesis test to determine if there is evidence to support the claim that the average new member loses at least 20lbs in the 6 months after they first join. (Show work for full credit, 10 pts) Weight on the day the member joined. (lbs) Weight of the member after 6 months. (lbs) Abigail 132 134 Bob 145 121 Caros 180 152 Devin 252 240 Emily 204 170 Fran 143 121 Gilberto 165 139 Hector 175 131 Irma 180 152 Jack 198 145 Kristen 152 125 Loren 221 192 Mike 205 182 Nancy 193 165 Oscar 184 154 Complete the hypothesis test below with a .02 level of significance. A. State the null and alternative hypotheses B. Specify the level of significance C. Compute the value of the test statistic D. Compute the p-value E. Reject the null hypothesis if the p-value ≤α F. Interpret the statistical conclusion in the context of the application

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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	Weight on the day the member joined. (lbs)	Weight of the member after 6 months. (lbs)
Abigail	132	134
Bob	145	121
Caros	180	152
Devin	252	240
Emily	204	170
Fran	143	121
Gilberto	165	139
Hector	175	131
Irma	180	152
Jack	198	145
Kristen	152	125
Loren	221	192
Mike	205	182
Nancy	193	165
Oscar	184	154