Statistics students believe that the mean score on a first statistics test is 65. The instructor think mean score is higher. She samples 10 statistics students and obtains the scores: 69 63.9 68.4 62.7 73.5 73.5 64.3 73.5 96 Grades 69 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:

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 69 69 63.9 68.4 62.7
73.5 73.5 64.3
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 Fail to reject the null hypothesis.
Reject the null hypothesis.
73.5
96
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 69 69 63.9 68.4 62.7 73.5 73.5 64.3 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 Fail to reject the null hypothesis. Reject the null hypothesis. 73.5 96
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