In an educational research project it is necessary to construct a control group that shares some features with the experimental group. There are 12 children in the experimental group, and the investigator decides that the control group should be the same size. The mean and the variance of the variable x in the experimental group are 6.0 and 14.00, respectively. The investigator wishes to construct the control group so that both groups will have the same mean and variance. After ten children have been selected for the control group, the mean of their -values is 5.8 and the variance is 16.36. Two additional children will be selected for the control group. What should the -values of these children be so that the experimen- tal group and the control group have equal means and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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8. In an educational research project it is necessary to construct a control
group that shares some features with the experimental group. There
are 12 children in the experimental group, and the investigator decides
that the control group should be the same size.
The mean and the variance of the variable x in the experimental group
are 6.0 and 14.00, respectively. The investigator wishes to construct
the control group so that both groups will have the same mean and
variance.
After ten children have been selected for the control group, the mean of
their -values is 5.8 and the variance is 16.36. Two additional children
will be selected for the control group.
What should the -values of these children be so that the experimen-
tal group and the control group have equal means and variances?

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