question archive Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 72
Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 72
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Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 72. An instructor, intending to prove that the mean score is higher, randomly samples 10 statistics students and obtains the following scores:
74.4 69.2 74.4 73.5 72.5 73.5 85.5 83.2 63.9 63.9
Test grades are believed to be normally distributed.
Use a significance level of 1%.
- Select the appropriate alternative hypothesis, H
Calculate the mean of the sample:
Calculate the standard error of the sample means:
Use the formula to calculate the test statistic: t
Use the student t-table to find the critical value:
Decision:
- Reject the null hypothesis.
- Fail to reject the null hypothesis.
