In: Math
A physical therapist claims that one 600-milligram dose of Vitamin C will increase muscular endurance. The table available below shows the numbers of repetitions 1515 males made on a hand dynamometer (measures grip strength) until the grip strengths in three consecutive trials were 50% of their maximum grip strength. At α=0.01 is there enough evidence to support the therapist's claim? Assume the samples are random and dependent, and the population is normally distributed.
Repetitions (using placebo) |
Repetitions (using Vitamin C) |
|||||
---|---|---|---|---|---|---|
1 |
632 |
1074 |
||||
2 |
759 |
1000 |
||||
3 |
147 |
213 |
||||
4 |
177 |
190 |
||||
5 |
872 |
1264 |
||||
6 |
790 |
1311 |
||||
7 |
129 |
141 |
||||
8 |
446 |
685 |
||||
9 |
838 |
1258 |
||||
10 |
290 |
458 |
||||
11 |
877 |
944 |
||||
12 |
174 |
281 |
||||
13 |
719 |
878 |
||||
14 |
151 |
194 |
||||
15 |
328 |
457 |
1)Calculate sd (Round to one decimal place as needed.)
2)Calculate the test statistic (Round to one decimal place as needed.)
3)Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.