Question: 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 73.5 73.5 61.9 62.7 68.4 74.4 62.7 83.2 69 66.5

Test grades are believed to be normally distributed. Use a significance level of 5%.

  1. State the alternative hypothesis: HA:HA:
  2. State the mean of the sample:
  3. State the standard error of the sample means:
  4. State the test statistic: t=t=
  5. State the p-value:
    • >65>65
    • <65<65
    • 6565

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