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Google Apple Dive Outook Blackboard Astronomy 01 YouTube Entertainment Social News 2,Spring.2019:ChSec2:1 At least one of the answers above is NOT correct (1 point) A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. The mean score on the final exam for a course using the old edition is 75. Ten randomly selected people who used the new text took the final exam. Their scores are shown in the table below Person ABCDEFGHIJ Test Score 73 95 86 82 88 70 79 68 9 79 Use a 0.01 significance level to test the cliaim that people do better with the new edition. Assume that the scores are normally distributed and that the population standard deviation is 10.7 (a) What kind of test should be used? O A One-Tailed B. Two-Tailed C. IR does not matter. b) The test statistic is 2.49 rounded to 2 decimals) )The P-value is .0064 (d) Is there sufficient evidence to support the claim that people do better than 75 on this exam? A. No OB.Yes (a) Construct a 99% confdencenterval for the mean soon for students using the new text 74.9465 <μ<191,707 Note: You can eam partial credit on this problem Preview My Answers Submit Answers Your score was recorded. 8 0 0
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Answer #1

a-

two tailed test

b-

The provided sample mean is X-83 and the known population standard deviation is σ the sample size is n 10. 10.7, and The following null and alternative hypotheses need to be tested: Ho: μ 75 Haji 75 This corresponds to a two-tailed test, for which a z-test for one mean, with known population standard deviation will be used. Based on the information provided, the significance level is α-: 0.01, and the critical value for a two- tailed test is ze 2.58. The rejection region for this two-tailed test is R2.58atis The z-statistic is computed as follows: Xo 83-75 O Vn 10.7/v10 83-75 2.364 (4) Decision about the null hypothesis Since it is observed thatz2.364 rejected. 2.58, it is then concluded that the null hypothesis is not Using the P-value approach: The p-value is p 0.0181, and since p 0.0181 0.01, it is concluded that the null hypothesis is not rejected. (5) Conclusion It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population mean u is different than 75, at the 0.01 significance level. Confidence Interval The 99% confidence interval is 74.284- 91.716

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