a) Is there evidence that the students lost weight? State the null hypothesis and the alternative hypothesis. Find the test statistic. b) What is the p-value? c) Provide your conclusion in the context of this problem. Use alpha = 0.01. d) Regardless of the answer you provided above, find a 95% confidence interval. Give Lower and Upper confidence limits, explicitly. e) What assumption needs to be made about the distribution of the differences?

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a) Is there evidence that the students lost weight? State the null hypothesis and the alternative hypothesis. Find the test statistic.
b) What is the p-value?
c) Provide your conclusion in the context of this problem. Use alpha = 0.01.
d) Regardless of the answer you provided above, find a 95% confidence interval. Give
Lower and Upper confidence limits, explicitly.
e) What assumption needs to be made about the distribution of the differences?

2. Advertisements by Sylph Fitness Center claim that completing its course will result in
losing weight. A random sample of eight recent participants showed the following weights
before and after completing the course. At the 0.01 significance level, can we conclude the
students lost weight?
Student
Before
After
Difference (After - Before)
1
2 3
4
5 6 7 8
155
162
211 164
184
172
228 141
154 207 147
157
196
150 170
165
-1 -21 6 -5 -15
-14 -14 -7
Transcribed Image Text:2. Advertisements by Sylph Fitness Center claim that completing its course will result in losing weight. A random sample of eight recent participants showed the following weights before and after completing the course. At the 0.01 significance level, can we conclude the students lost weight? Student Before After Difference (After - Before) 1 2 3 4 5 6 7 8 155 162 211 164 184 172 228 141 154 207 147 157 196 150 170 165 -1 -21 6 -5 -15 -14 -14 -7
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