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Statistics students believe that the mean score on a first statistics test is 65. The instructor...

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 85.5 73.5 62.7 74.4 73.5 96 74.4 68.4 68.4 88


Test grades are believed to be normally distributed.

Use a significance level of 5%.

  1. State the alternative hypothesis: HA:
    • μ>65
  2. State the mean of the sample: 76.48 (Round to two decimal places.)
  3. State the standard error of the sample means:    (Round to four decimal places.)
  4. State the test statistic: t=    (Round to four decimal places.)
  5. State the p-value:    (Round to four decimal places.)
  6. Decision:
    • Reject the null hypothesis.
  7. Hopefully you drew a picture of all of this. ☺
Math   Statistics-And-Probability   
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