A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 15 IQ scores from group 1 showed a mean of 117 and a standard deviation of 17 , while an independently chosen random sample of 9 IQ scores from group 2 showed a mean of 112 and a standard deviation of 15 . 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 intervalfor the difference −μ1μ2 between the mean μ1 of IQ scores of group 1 and the mean μ2 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.)
A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of
IQ scores from group
showed a mean of
and a standard deviation of
, while an independently chosen random sample of
IQ scores from group
showed a mean of
and a standard deviation of
. Assuming that the populations of IQ scores are
confidence intervalfor the difference
between the mean
of IQ scores of group
and the mean
of IQ scores of group
. Then find the lower limit and upper limit of the
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.)
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