10.1 Exercise 61

Conduct a hypothesis test to answer the next two exercises.

Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. She takes random samples from each of the populations. The mean and standard deviation for 35 statistics day students were 75.86 and 16.91, respectively. The mean and standard deviation for 37 statistics night students were 75.41 and 19.73. The day subscript refers to the statistics day students. The night subscript refers to the statistics night students. An appropriate alternative hypothesis for the hypothesis test is

1. μ_day > μ_night
2. μ_day < μ_night
3. μ_day = μ_night
4. μ_day ≠ μ_night