Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 65 63.9 | 88 74.4 68.4 | 62.7 | 74.4 96 | 85.5 | 68.4 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ> 65 Ομ4 65 Ομ< 65 B. State the mean of the sample: C. State the standard error of the sample means:

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the
mean score is higher. She samples 10 statistics students and obtains the scores:
Grades 65 63.9 88 74.4 68.4 | 62.7 74.4 96 85.5 68.4
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HẠ:
Ομ> 65
Ομ# 65
Ομ< 65
B. State the mean of the sample:
C. State the standard error of the sample means:
D. State the test statistic: t =
E. State the p-value:
F. Decision:
O Fail to reject the null hypothesis.
Reject the null hypothesis.
Transcribed Image Text:Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 65 63.9 88 74.4 68.4 | 62.7 74.4 96 85.5 68.4 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HẠ: Ομ> 65 Ομ# 65 Ομ< 65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: O Fail to reject the null hypothesis. Reject the null hypothesis.
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