Question

Please show step by step how to do this problem.

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	62.7	96	83.2	68.4	74.4	68.4	65	65	62.7

Test grades are believed to be normally distributed.

Use a significance level of 5%.

1. State the alternative hypothesis: HA:HA:
   • __μ>65μ>65
   • __μ≠65μ≠65
   • __μ<65μ<65
2. State the mean of the sample: __________________ (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=t= __________________ (Round to four decimal places.)
5. State the p-value: __________________ (Round to four decimal places.)
6. Decision:
   • __Do not reject the null hypothesis.
   • __Reject the null hypothesis.
7. Hopefully you drew a picture of all of this. ☺

Answer 1