Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks th mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 68.4 64.3 64.3 73.5 74.4 73.5 88 62.7 85.5 Test grades are believed to be normally distributed. Jse a significance level of 5%.

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that
mean score is higher. She samples 10 statistics students and obtains the scores:
Grades
69
68.4
64.3
64.3
73.5
74.4
73.5
88
62.7
85.5
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HA:
Ομ > 65
OH<65
B. State the mean of the sample:
C. State the standard error of the sample means:
D. State the test statistic: t =
2.3662
E. State the p-value: 0.0227
Transcribed Image Text:Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 68.4 64.3 64.3 73.5 74.4 73.5 88 62.7 85.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ > 65 OH<65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = 2.3662 E. State the p-value: 0.0227
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