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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

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: (Round to two decimalplaces.)
  3. State the standard error of the sample means: (Round to four decimal places.)
  4. State the test statistic: t=t= (Round to four decimalplaces.)
  5. State the p-value: (Round to four decimal places.)
  6. Decision:
    • Do not reject the null hypothesis.
    • Reject the null hypothesis.

  • <65<65
  • 6565
  • >65>65

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