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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
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 | 64.3 | 68.4 | 69 | 73.5 | 83.2 | 69 | 68.4 | 88 | 68.4 |
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Test grades are believed to be normally distributed. Use a significance level of 5%.
- State the alternative hypothesis: HA:HA:
- State the mean of the sample: (Round to two decimalplaces.)
- State the standard error of the sample means: (Round to four decimal places.)
- State the test statistic: t=t= (Round to four decimalplaces.)
- State the p-value: (Round to four decimal places.)
- Decision:
- Do not reject the null hypothesis.
- Reject the null hypothesis.
- <65<65
- 6565
- >65>65
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