Question

Problem A Student test scores from a college admissions test are normally distributed. (SEE EXCEL OUTPUT, APPENDIX 1) 1. Suppose -544 and 110. Find the probability that a student's test than or equal to 420 and less than or equal to 610. dreiseregler 2. Suppose 494 and than what value? 100, The probability is so that a student's fest score is no pl 3. Suppose than 500 494 and -100. Find the probability that astudent's test score is greater 4. Suppose -544 and 0-110. The probability is .6 crate student's iest score will be between what two values equidistant from the mean test score? 5. Suppose =544 and 0-110. Find the probability that student's test score is less than 380 or greater than 770. 6. Suppose what value? 494 and 0-100. The probability js.30rbat a Student's test score is at most Problem B According to the Bureau of Labor Statistics, tfte Avocage nujhber of weeks an individual is unemployed is 28 weeks with a standard deviation' ( 8 weeks. Suppose a random sample of 34 unemployed individuals is takeo..... 1. Find the probability that the sample average number of weeks unemployed is less than 25 weeks. 2. There is a 1% probability that the sample average number of weeks unemployed is at most hours. 3. Find the probability that she sinple average number of weeks unemployed is less than 27 weeks or greater than 32 weeks.

Answer 1

Given = u = 544 o = 110 PC between 420 and 610 → P( 420<x<610) = P( 610-544/110 < x-u/o< 420-544/110) = P(0.6 <Z<-1.1273) = P(Z <0.6) - P(Z<-1.1273) = 0.7257 - 0.1298 .....(from standard normal distribution table) 0.5959

2)409.8379

3)0.4761

4)0.60

5)0.088

6)441.5599