A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 15 1Q scores from group 1 showed a mean of 84 and a standard deviation of 17, while an independently chosen random sample of 9 IQ scores from group 2 showed a mean of 85 and a standard deviation of 13. 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 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:

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A certain counselor wants to compare mean IQ scores for two different social groups.. A random sample of 15 1Q scores from group I showed a mean of 84 and
a standard deviation of 17, while an independently chosen random sample of 9 1Q scores from group 2 showed a mean of 85 and a standard deviation of 13
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:1 3. 4 7 8. 10 A certain counselor wants to compare mean IQ scores for two different social groups.. A random sample of 15 1Q scores from group I showed a mean of 84 and a standard deviation of 17, while an independently chosen random sample of 9 1Q scores from group 2 showed a mean of 85 and a standard deviation of 13 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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