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 36 students per class with a standard deviation of 4. A random sample of 25 Beaverton classes found a mean of 37 students per class with a standard deviation of 6.
Find a 95% confidence interval in the difference of the means. Use technology to find the critical value using df = 41.0772 and round answers to 4 decimal places.
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