# Question: Determine the margin of error for a 95 confidence interval

Determine the margin of error for a 95% confidence interval for the difference between population means for each of the following (assume equal population variances):

a. nx = 10 s2x = 6 x-bar = 200

ny = 16 s2y = 10 y-bar = 160

b. nx = 5 s2x = 6 x-bar = 200

ny = 8 s2y = 10 y-bar = 160

c. The sample sizes in part a are double the sample sizes in part b. Comment on your answers to part a compared to your answers to part b.

a. nx = 10 s2x = 6 x-bar = 200

ny = 16 s2y = 10 y-bar = 160

b. nx = 5 s2x = 6 x-bar = 200

ny = 8 s2y = 10 y-bar = 160

c. The sample sizes in part a are double the sample sizes in part b. Comment on your answers to part a compared to your answers to part b.

## Answer to relevant Questions

A manufacturer knows that the numbers of items produced per hour by machine A and by machine B are normally distributed with a standard deviation of 8.4 items for machine A and a standard deviation of 11.3 items for machine ...A researcher intends to estimate the effect of a drug on the scores of human subjects performing a task of psychomotor coordination. The members of a random sample of 9 subjects were given the drug prior to testing. The mean ...A random sample of 100 men contained 61 in favor of a state constitutional amendment to retard the rate of growth of property taxes. An independent random sample of 100 women contained 54 in favor of this amendment. A ...Is the average amount spent on textbooks per semester by accounting majors significantly different from the average amount spent on textbooks per semester by management majors? Answer this question with a 90% confidence ...Independent random sampling from two normally distributed populations gives the following results: nx = 81; x-bar = 140; σ2x = 25 ny = 100; y-bar = 120; σ2y = 14 Find a 95% confidence interval estimate of the difference ...Post your question