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...


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

Extracted 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="">

Jun 08, 2022
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