A researcher is investigating the effects of exercise on the ability to complete a basic skills test. To assess this, a pre-test and post-test are administered to participants. The researcher hypothesizes that there is a difference in scores due to exercise. The population differences are assumed to be normally distributed, but the standard deviation is unknown. For calculations, the difference is determined by subtracting the pre-test score from the post-test score.The table of scores is as follows:| pre-test | post-test ||----------|-----------|| 63 | 71 || 97 | 94 || 66 | 66 || 41 | 32 || 96 | 97 || 41 | 45 || 79 | 81 || 98 | 106 || 76 | 70 || 63 | 70 || 42 | 47 || 86 | 94 |### Hypothesis Testing**Which of the following are the correct hypotheses?**- \( H_0: \mu_d \geq 0 \) \( H_a: \mu_d < 0 \) (claim)- \( H_0: \mu_d \leq 0 \) \( H_a: \mu_d > 0 \) (claim)- \( H_0: \mu_d = 0 \) \( H_a: \mu_d \neq 0 \) (claim)Given that \( \alpha = 0.05 \), the critical value is 2.201 and -2.201.The test statistic is: \_\_\_\_\_\_\_\_\_ (round to 3 places)The p-value is: \_\_\_\_\_\_\_\_\_ (round to 3 places)The decision can be made to:- Reject \( H_0 \)- Do not reject \( H_0 \)**The final conclusion is that:**- There is enough evidence to reject the claim that there was a difference in the scores.- There is not enough evidence to reject the claim that there was a difference in the scores.- There is enough evidence to support the claim that there was a difference in the scores.- There is not enough evidence to support the claim that there was a

Name: A researcher is investigating the effects of exercise on the ability
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A researcher is investigating the effects of exercise on the ability to complete a basic skills test. To assess this, a pre-test and post-test are administered to participants. The researcher hypothesizes that there is a difference in scores due to