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...

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 73.5 74.4 74.4 88 62.7| 73.5 74.4 85.5 69 96 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: (Round to two decimal places.) C. State the standard error of the sample means: (Round to four decimal places.) D. State the test statistic: t = (Round to four decimal places.) E. State the p-value: (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Reject the null hypothesis.