Two Population Means with Unknown Standard Deviations · Exercise 42
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. 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. Which of the following is a concluding statement:
(a) There is sufficient evidence to conclude that statistics night students’ mean on Exam 2 is better than the statistics day students’ mean on Exam 2.
(b) There is insufficient evidence to conclude that the statistics day students’ mean on Exam 2 is better than the statistics night students’ mean on Exam 2.
(c) There is insufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.
(d) There is sufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.
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OpenStax, Statistics · §10.1 Two Population Means with Unknown Standard Deviations · Exercise 42
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