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Mathematics, 06.12.2021 18:10 hiihihihij

An educational psychologist is studying two methods of tutoring young children: Method A and Method B. She wants to test whether there is any difference in puzzle solving skills between children tutored by one method versus children tutored by the other. Independent samples of 16 children who were tutored using Method A and children who were tutored using Method B were chosen at random. The Method A children took a mean of minutes to solve a certain puzzle with a standard deviation of minutes. The Method B children took a mean of minutes to solve the same puzzle with a standard deviation of minutes. Assume that the two populations of completion times are normally distributed and that the population variances are equal. Construct a confidence interval for the difference between the mean puzzle-solving times for Method A children (mu1) and for Method B children (mu2). Then find the lower limit and upper limit of the 95% confidence interval.

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