Business students taking statistics at Colonel Samuel College believe that the mean score on a first statistics test is at most 74. An instructor, intending to prove that the mean score is higher, randomly samples 14 statistics students and obtains the following scores: 85.5,66.5,65,88,96,73.5,64.3,85.5,75.6,66.5,62.7,83.2,66.5

Test grades are believed to be normally distributed. Use a significance level of 10%. Round answers to at least 3 decimal places.

1. Select the appropriate alternative hypothesis,H1orHa:1or:

• >74>74
• 7474
• 7474
• 7474
• =74=74
• <74<74
• Fail to reject the null hypothesis.
• Reject the null hypothesis.

Incorrect

1. Calculate the sample mean:Correct

1. Calculate the estimated standard error of the sample mean:Incorrect

1. Calculate the test statistic:t==Incorrect

1. State the critical value at=0.1=0.1:Correct

1. Decision: