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	66.5	74.4	74.4	61.9	83.2	66.5	66.5	61.9	65	64.3

Test grades are believed to be normally distributed.

Use a significance level of 5%.

1. State the alternative hypothesis: $\displaystyle {H}_{{A}}:$
   • $\displaystyle \mu<{65}$
   • $\displaystyle \mu\ne{65}$
   • $\displaystyle \mu>{65}$
2. State the mean of the sample:
3. State the standard error of the sample means:
4. State the test statistic: $\displaystyle {t}=$
5. State the p-value:
6. Decision:
   • Fail to reject the null hypothesis.
   • Reject the null hypothesis.
7. Hopefully you drew a picture of all of this. ☺