Question 7
Two samples are taken with the following sample means, sizes, and standard deviations:
ar{x}_1 = 38, n_1 = 61, s_1 = 5
ar{x}_2 = 37, n_2 = 63, s_2 = 4
Find a 98% confidence interval for the difference in means. Note: If you do not have a Ti-84 and the degrees of freedom is not on Table F, then please use the =T.INV(Area to left, df) function in GoogleSheets to find the critical value to 3 decimal places. Round your interval end points to the nearest whole number.
<mu_1 - mu_2<
Question 8
A school administrator wants to see if there is a difference in the number of students per class for Portland Public School district (group 1) compared to the Beaverton School district (group 2). Assume the populations are normally distributed with unequal variances. A random sample of 28 Portland classes found a mean of 32 students per class with a standard deviation of 6. A random sample of 26 Beaverton classes found a mean of 34 students per class with a standard deviation of 4.
Find a 90% confidence interval in the difference of the means. Note: If you do not have a Ti-84 and the degrees of freedom is not on Table F, then please use the =T.INV(Area to left, df) function in GoogleSheets to find the critical value to 3 decimal places. Round your interval end points to the nearest whole number.
<mu_1 - mu_2<