# Question

At a large university, a mathematics placement exam is administered to all students. Samples of 36 male 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), the mean, and the standard deviation.

b. Construct 95% confidence interval for the mean score for all male students. Do the same for all female students.

c. Do the results found in part b show that the mean scores for males and females could be the same? Justify your answer. Be careful!

d. Construct the 95% confidence interval for the difference between the mean scores for male and female students.

e. Do the results found in part d show that the mean scores for male and female students could be the same? Explain.

f. Explain why the results in part b cannot be used to draw conclusions about the difference between the two means.

a. Describe each set of data with a histogram (use the same class intervals on both histograms), the mean, and the standard deviation.

b. Construct 95% confidence interval for the mean score for all male students. Do the same for all female students.

c. Do the results found in part b show that the mean scores for males and females could be the same? Justify your answer. Be careful!

d. Construct the 95% confidence interval for the difference between the mean scores for male and female students.

e. Do the results found in part d show that the mean scores for male and female students could be the same? Explain.

f. Explain why the results in part b cannot be used to draw conclusions about the difference between the two means.

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