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 69 68.4 68.4 69 88 65 69 61.9 63.9 62.7 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ > 65 Ομ# 5 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 Reject the null hypothesis. O Fail to reject the null hypothesis.

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Question 3
区1
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
69
68.4
68.4
69
88
65
69
61.9
63.9
62.7
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HA:
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 Reject the null hypothesis.
O Fail to reject the null hypothesis.
Transcribed Image Text:Question 3 区1 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 69 68.4 68.4 69 88 65 69 61.9 63.9 62.7 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: 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 Reject the null hypothesis. O Fail to reject the null hypothesis.
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