An educational study was designed to investigate the effectiveness of a reading program of elementary age children. Each child was given a pretest and posttest. Higher posttest scores would indicate reading improvement. From a very large population, a random sample of scores for the pretest and posttest are as follows:Child         Pretest Score          Posttest Score1                       40                          482                       36                          423                       324                       38                          365                                                     436                       33                          387                       35                          45Child 3 moved from the school district and did not take the posttest. Child 5 moved into the district after the start of the study and did not take the pretest.Find a 95% confidence interval estimate of the mean improvement in the reading scores.

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An educational study was designed to investigate the effectiveness of a reading program of elementary age children. Each child was given a pretest and posttest. Higher posttest scores would indicate reading improvement. From a very large population, a random sample of scores for the pretest and posttest are as follows:
Child         Pretest Score          Posttest Score
1                       40                          48
2                       36                          42
3                       32
4                       38                          36
5                                                     43
6                       33                          38
7                       35                          45

Child 3 moved from the school district and did not take the posttest. Child 5 moved into the district after the start of the study and did not take the pretest.
Find a 95% confidence interval estimate of the mean improvement in the reading scores.

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