Is the right arm or left arm stronger? Twenty five right handed people were studied. They were asked to do as many bicep curls as possible, first with their right arm and then with their left arm. Note:The differences were calculated as right-left. The 95% confidence interval for the true mean difference is (-9.242, 0.2472). Which of the following statements is the correct interpretation? A. The p-value should be smaller than 0.05. B. The p-value should be higher than 0.05. C. The p-value should be smaller than 0.95. D. The p-value should be smaller than 0.95.

Question

Madyson Huber

Mathematics

8 November, 13:09

Is the right arm or left arm stronger? Twenty five right handed people were studied. They were asked to do as many bicep curls as possible, first with their right arm and then with their left arm. Note:The differences were calculated as right-left. The 95% confidence interval for the true mean difference is (-9.242, 0.2472). Which of the following statements is the correct interpretation? A. The p-value should be smaller than 0.05. B. The p-value should be higher than 0.05. C. The p-value should be smaller than 0.95. D. The p-value should be smaller than 0.95.

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Answers (1)

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Emmanuel Hart · Answer 1

B. The p-value should be higher than 0.05

Step-by-step explanation:

p-value is smaller than 0.05 means that there is significant difference in mean bicep curls made with right hand and left hand.

Since 95% confidence interval for the true mean difference is given as (-9.242, 0.2472), and confidence interval includes the value 0, we cannot say that there is significant difference. Therefore p-value is not smaller than 0.05, it is higher than 0.05.