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 13 children who were tutored using Method A and 10 children who were tutored using Method B were chosen at random. The Method A children took a mean of 31 minutes to solve a certain puzzle with a standard deviation of 3 minutes. The Method B children took a mean of 36 minutes to solve the same puzzle with a standard deviation of 7 minutes. Assume that the two populations of completion times are normally distributed and that the population varlances are equal. Construct a 95% confidence interval for the difference H between the mean puzzle-solving times for Method A children (4,) and for Method B children (u). Then find the lower limit and upper limit of the 95% confidence interyal. 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: ] x 5 ? Upper limit:

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An educational psychologist is studying two methods of tutoring young chldren: MethodA 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 13 children who were tutored using
Method A and 10 children who were tutored using Method B were chosen at random. The Method A children took a mean of 31 minutes to solve a certain puzzle
with a standard deviation of 3 minutes. The Method B children took a mean of 36 minutes to solve the same puzzle with a standard deviation of 7 minutes.
Assume that the two populations of completion times are normally distributed and that the population varlances are equal. Construct a 95% confidence interval
for the difference u, -, between the mean puzzle-solving times for Method A children (H) and for Method B children (H). 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:
Explanation
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Transcribed Image Text:An educational psychologist is studying two methods of tutoring young chldren: MethodA 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 13 children who were tutored using Method A and 10 children who were tutored using Method B were chosen at random. The Method A children took a mean of 31 minutes to solve a certain puzzle with a standard deviation of 3 minutes. The Method B children took a mean of 36 minutes to solve the same puzzle with a standard deviation of 7 minutes. Assume that the two populations of completion times are normally distributed and that the population varlances are equal. Construct a 95% confidence interval for the difference u, -, between the mean puzzle-solving times for Method A children (H) and for Method B children (H). 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: Explanation Check 2021 McGraw HI Education. AI Rights Reserved Terms of Uhe MacBook Air F7 F9 %23 $ % 4 5 7 8 9 W E Y U P D H. K C V B gE ommand command
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