Please explain where you get numbers from. not ASWe! Pro0ldé oe swr to éach ques

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Please explain where you get numbers from.

not ASWe! Pro0ldé oe swr to éach question in the space provided. Explain your nswer or show your work. 18. (10 points) There are 40,000 students at Mid-South State University (MSSU). The Vice- Chancellor for Student Affairs would like to conduct a survey of students to determine their attitudes toward the libraries. The Vice-Chancellors staff took a simple random sample of 125 students and found that 88 of them found the libraries useful Find a 99% confidence interval for the true proportion of all students at MSSU that find the libraries useful. Be sure to communicate about the parameter of interest in presenting your interval. You may assume any necessary conditions are met. 19, (10 points) A large rental car agency has a large fleet of cars. The company keeps careful records of the number of miles on the odometer for each car. They know that for all of the cars in their fleet this odometer mileage has an average of 22,300 miles with a standard deviation of 11,200 milesl The director of maintenance for the

Explanation / Answer

let p=proportion of students found library is useful=x/n=88/125=0.704

SE(p)=sqrt(p(1-p)/n)=sqrt(0.704*(1-0.704)/125)=0.0408

(1-alpha)*100% confidence interval for population proportion (P)=sample proportion (p) ±z(alpha/2)*SE(p)

99% confidence interval for P=p±z(0.01/2)*SE(p)=0.704±2.5758*0.0408=0.7040±0.1051=(0.5989, 0.8091)

lower limit=0.5989 and

upper limit=0.8091

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