question archive Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 70

Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 70

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Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 70. An instructor, intending to prove that the mean score is higher, randomly samples 9 statistics students and obtains the following scores:

69.2 73.5 65 73.5 69.2 83.2 75.6 73.5 75.6

 

Test grades are believed to be normally distributed.

 

Use a significance level of 1%.

  1. Select the appropriate alternative hypothesis, H

 

2.Calculate the mean of the sample: 

3.Calculate the standard error of the sample means: 

4.Use the formula to calculate the test statistic: t

 

5.Use the student t-table to find the critical value: 

6.Decision:

  • Fail to reject the null hypothesis.
  • Reject the null hypothesis.

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