Question

As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01 . The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations are normally distributed, and that the population variances of scores are equal. Use Excel to calculate the degrees of freedom, critical value, and test statistic for the data set, rounding the critical value and test statistic to two decimal places.

   Science Engineering    Humanities Business

89 83    86 73

89 85    82 78

   90    86    86 82

   88    82    85 81

   83    82    82 79

   82    87    88 87

   85    83    85 85

   83    85    87 83

   83 83 86 82

   87 87 86 79

   87 86 81 76

   81 87 85 78

   87 90 84 79

   83 85 85 74

   85 86 86 88

   88 81 86 83

   85 88 79 82

   85 87 82 81

   89 88 82 78

89    91 79 78

Answer 1