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