math hw

Please show all work and place your final answers on the lines. No work means no credit.

(45) 1. The number of students who attend a certain college is normally distributed with a mean of 12200 students and a standard deviation of 650 students.

a. What is the probability that the number of students attending a certain college is greater than 13721?__________
b. Find the probability that a sample of 400 colleges has a mean value greater than 12137.275 students.__________
c. How many students must attend a certain college so the college is in the top 25%? __________

(30) 2a. A random sample of 750 people showed 38% can program computers. Establish a 94% confidence interval for the PROPORTION of people who can program computers.______________________________
b. A random sample of 36 light bulbs showed a mean life of 150 hours with a standard deviation of 42 hours. Establish a 90% confidence interval for the mean life of light bulbs.______________________________

(25) 3a. What sample size is required to estimate the PROPORTION of lawyers who passed the BAR exam the first time if there should be 96% confidence that the error in the estimate will not exceed 4.5%? A previous survey showed 61% of lawyers passed the BAR exam the first time.____________

b. What sample size is required to estimate the mean number of hours spent watching television per week if there should be 97% confidence that the error in the estimate will not exceed 2 hours? Use a standard deviation of 11.5 hours.____________

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