A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 11 1Q scores from group 1 showed a mean of 120 and a standard deviation of 16, while an independently chosen random sample of 10 IQ scores from group 2 showed a mean of 113 and a standard deviation of 14. Assuming that the populations of 1Q scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 90% confidence interval for the difference 4-2 between the mean 4, of 1Q scores of group 1 and the mean u, of 1Q scores of group 2. Then find the lower limit and upper limit of the 90% 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: 5 ? Upper limit:

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A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 11 IQ scores from group 1 showed a mean of 120 and
a standard deviation of 16, while an independently chosen random sample of 10 IQ scores from group 2 showed a mean of 113 and a standard deviation of 14.
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
90% confidence interval for the difference 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 90% 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:
Explanation
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Transcribed Image Text:A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 11 IQ scores from group 1 showed a mean of 120 and a standard deviation of 16, while an independently chosen random sample of 10 IQ scores from group 2 showed a mean of 113 and a standard deviation of 14. 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 90% confidence interval for the difference 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 90% 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: Explanation Check 02021 McGraw H Education. All Rights Reserved Terms of UseI PivcyI Accessibty MacBook Air ese 888 %23 2$ & 3 8 Q E T Y A F G H K C V B alt H alt option command option command
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