Final answer:
To estimate the mean height of students at your college or university to within 1 inch with 93 percent confidence, you need to measure approximately 5 male students.
Step-by-step explanation:
To estimate the mean height of students at your college or university with 93 percent confidence and within 1 inch of accuracy, you need to determine the required sample size of male students. Given that the standard deviation of the heights of young adult males is 2.5 inches and you want to estimate the mean height, you can use the formula:
n = (Z * σ / E)^2
where n is the required sample size, Z is the Z-score corresponding to the desired confidence level (for 93 percent confidence, Z = 1.81), σ is the standard deviation, and E is the desired margin of error.
Plugging in the values, you get:
n = (1.81 * 2.5 / 1)^2
Simplifying the equation gives:
n = 2.275^2
Therefore, you need to measure approximately 5 male students to estimate the mean height with the desired level of confidence and accuracy.