Question

Given the follow data for two pooled samples, calculate %95 confidence interval for each

mean, 95% confidence interval for difference of means, and one-tailed p-value for the null hypothesis, “Y

not greater than X”.

a. sample X: n=12, mean = 20.0, std. deviation = 3.1

sample Y: n = 12, mean = 22.0, std. deviation = 3.1

b. Same as part a, except the mean of Y is 23.0

c. Same as part a, except the standard deviation of Y is 4.0

d. Same as part a, except sample size of Y is 20

Answer 1

a) For sample X,

For sample Y,