Question
A new weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the
A new weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of eight individuals before and after the program. Complete parts (a) through (e) below.
Person | Before | After | ||
---|---|---|---|---|
1 | 227 | 201 | ||
2 | 215 | 193 | ||
3 | 206 | 195 | ||
4 | 187 | 171 | ||
5 | 205 | 196 | ||
6 | 199 | 181 | ||
7 | 244 | 230 | ||
8 | 191 |
a. Perform a hypothesis test using =0.05 to determine if the average weight loss was more than 10 pounds for participants in the weight-loss program. Let d be the population mean of matched-pair differences for the weight before the program minus the weight after the program. State the null and alternative hypotheses.
b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using
=0.05
The test statistic is?
c - The critical value is ?
d - Identify the p-value and interpret the result?
Thank you so much.
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