SOLUTION: The average years of employee experience at a company with 10,000 employees is normally distributed, with a standard deviation of 12 years. If a sample of 50 employees indicates a

Algebra ->  Probability-and-statistics -> SOLUTION: The average years of employee experience at a company with 10,000 employees is normally distributed, with a standard deviation of 12 years. If a sample of 50 employees indicates a       Log On


   



Question 445470: The average years of employee experience at a company with 10,000 employees is normally distributed, with a standard deviation of 12 years. If a sample of 50 employees indicates a mean age of 38, calculate 90 percent and 99 percent confidence intervals for the population mean.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
The average years of employee experience at a company with 10,000 employees is
normally distributed, with a standard deviation of 12 years.
If a sample of 50 employees indicates a mean age of 38,
calculate 90 percent confidence intervals for the population mean.
ME = 1.645[38/sqrt(50)] = 8.8402
CI: 38-8.8402+%3C+u+%3C+38+%2B+8.8402

99 percent confidence intervals for the population mean.
ME =2.575[38/sqrt(50)] = 13.8381
CI: 38-13.8381+%3C+u+%3C+38+%2B+13.8381
a a/2 crtical regions
90% 0.1 5% z <-1.645 z >+1.645
92% 0.8 4% z <-1.751 z >+1.751
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.33 z >+2.33
99% 0.01 0.50% z<-2.575 z >+2.575