At a large university a mathematics placement exam is administered
At a large university, a mathematics placement exam is administered to all students. This exam has a history of producing scores with a mean of 77. Samples of 36 male students and 30 female students are randomly selected from this year’s student body and the following scores recorded.
a. Describe each set of data with a histogram (use the same class intervals on both histograms), mean, and standard deviation.
b. Test the hypotheses, “Mean score for all males is 77” and “Mean score for all females is 77,” using a = 0.05
c. Do the preceding results show that the mean scores for males and females are the same? Justify your answer. Be careful!
d. Test the hypothesis, “There is no difference between the mean scores for male and female students” using .
e. Do the results found in part d show that the mean scores for males and females are the same? Explain.
f. Explain why the results found in part b cannot be used to conclude, “The two means are the same.”
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