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A physical therapist claims that one​ 600-milligram dose of Vitamin C will increase muscular endurance. The...

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.

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