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A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 14 IQ scores from group 1 showed a mean of 91 and a standard deviation of 17, while an independently chosen random sample of 13 IQ scores from group 2 showed a mean of 80 and a standard deviation of 16. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference u, -u, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: I Upper limit:

A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 14 IQ scores from group 1 showed a mean of 91 and a standard deviation of 17, while an independently chosen random sample of 13 IQ scores from group 2 showed a mean of 80 and a standard deviation of 16. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference u, -u, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: I Upper limit:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 14 IQ scores from group 1 showed a mean of 91 and a standard deviation of 17, while an independently chosen random sample of 13 IQ scores from group 2 showed a mean of 80 and a standard deviation of 16. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference u, -u, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:| Upper limit:
Transcribed Image Text:A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 14 IQ scores from group 1 showed a mean of 91 and a standard deviation of 17, while an independently chosen random sample of 13 IQ scores from group 2 showed a mean of 80 and a standard deviation of 16. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference u, -u, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:| Upper limit:
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