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	74.4	65	69	62.7	61.9	96	64.3	65	74.4

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:
3. State the standard error of the sample means:
4. State the test statistic: t=t=
5. State the p-value:
6. Decision:
7. Hopefully you drew a picture of all of this.
   • Fail to reject the null hypothesis.
   • Reject the null hypothesis.

• <65<65
• 6565
• >65>65