Question

Business statistics students at Colonel Samuel College believe that the mean score on a first statistics test is at most 61. An instructor, intending to prove that the mean score is higher, randomly samples 9 statistics students and obtains the following scores:

88	61.9	72.5	69.2	83.2	65
73.5	64.3	68.4

Test grades are believed to be normally distributed.

Use a significance level of 5%.

1. Select the appropriate alternative hypothesis, H1:H1:
   • μ=61μ=61
   • μ>61μ>61
   • μ≥61μ≥61
   • μ<61μ<61
   • μ≤61μ≤61
   • μ≠61μ≠61
   Incorrect
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=t=
5. Use the student t-table to find the critical value:

Answer 1