SOLUTION: 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 obtain

Question 1197693: 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 68.4 96 69 65 62.7 88 74.4 69 69 85.5

Test grades are believed to be normally distributed.
Use a significance level of 5%.
State the mean of the sample:
State the standard error of the sample means:
State the test statistic: t=
State the p-value:

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Ho: µ = 65
Ha: µ > 65
n = 10, x̄ = 74.7 s = 11.1682
0.05 significance level, Critical value = 1.8331
= 2.7466
2.7466 > 1.8331 Reject Ho
IF P(z ≤ t-value) < .05 THEN reject Ho
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