Suppose you are told that average heigh of a person at your school is 57 inches

Question

Suppose you are told that average heigh of a person at your school is 57 inches from a sample with a population standard deviation of 3 inches. If you take a sample of 49 students use this info to calculate the following.
A. Determine the standard error of the mean.
B. Determine a 95% confidence interval estimate for the mean heigh of a people at your school.

If you are given that the proportion of students at your school who like to attend college is 60% from a sample of 49.
C. Find the standard deviation of the proportion
D. Use your value in part C to find a 90% CI for students who actually like to attend college.

Explanation / Answer

a) standard error of the mean. = 3/root(49) = 3/7

b) CI= ( + z0.025 * /n , - z0.025 * /n )

Z= 1.96

CI = ( 57.84 , 56.18)

C. P = 0.6

SD= P*(1-P)/root(N) = 0.6*0.4/7 = 0.034

CI = ( p + z0.025 * , p - z0.025 * ) = ( 0.6666 , 0.53334)

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