lower limit and upper limit of the 90% confidence interval. nal places (If necessary, consult a list of Di

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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 11 children who were tutored using
Method A and 12 children who were tutored using Method B were chosen at random. The Method A children took a mean of 30 minutes to solve a certain
puzzle with a standard deviation of 7 minutes. The Method B children took a mean of 41 minutes to solve the same puzzle with a standard deviation of 3
minutes. Assume that the two populations of completion times are normally distributed and that the population variances are equal. Construct a 90%
confidence interval for the difference H₁-H₂ between the mean puzzle-solving times for Method A children (H₁) and for Method B children (H₂). Then find the
lower limit and upper limit of the 90% confidence interval.
!
✓ 1
1
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.)
F1
Q
Lower limit:
Upper limit:
Check
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Transcribed Image Text: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 11 children who were tutored using Method A and 12 children who were tutored using Method B were chosen at random. The Method A children took a mean of 30 minutes to solve a certain puzzle with a standard deviation of 7 minutes. The Method B children took a mean of 41 minutes to solve the same puzzle with a standard deviation of 3 minutes. Assume that the two populations of completion times are normally distributed and that the population variances are equal. Construct a 90% confidence interval for the difference H₁-H₂ between the mean puzzle-solving times for Method A children (H₁) and for Method B children (H₂). Then find the lower limit and upper limit of the 90% confidence interval. ! ✓ 1 1 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.) F1 Q Lower limit: Upper limit: Check @ 2 *: F2 W TI-84 Plus CE PYTHON AT AUTO REAL DEGREE MP 2-SampTTest ata Stats 981938619204 304550276758 42 42 Yes # 3 80 F3 E X $ 4 d F4 R S F % do L 5 V ↓ FS T G < 6 MacBook Air C F6 Y B & M 7 H F7 Save For Later Submit Assignment © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility U N * CO 8 PII F8 - ( 9 JK M F9 0 < I дв ) 。. 0 L F10 P command - ^. ... F11 { 00 B option + 11 [ 2.1 11 4) F12 } 1
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