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A cognitive scientist wants to test whether there is any difference in puzzle-solving abilities between crows and sparrows. Independent samples of eight crows and seven sparrows were chosen at random. The crows took a mean of 35 minutes to solve a certain puzzle, with a standard deviation of 4.9 minutes. The sparrows took a mean of 40 minutes to solve the same puzzle, with a standard deviation of 4.5 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean puzzle-solving times for crows, is less than μ₂, the mean puzzle-solving times for sparrows? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Р Ho :O H₁:0 ô (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean puzzle-solving times for crows is less than the mean puzzle-solving times for sparrows? O Yes O No 3 X 0=0 ☐#0 X a S 2 010 00 OSO O

A cognitive scientist wants to test whether there is any difference in puzzle-solving abilities between crows and sparrows. Independent samples of eight crows and seven sparrows were chosen at random. The crows took a mean of 35 minutes to solve a certain puzzle, with a standard deviation of 4.9 minutes. The sparrows took a mean of 40 minutes to solve the same puzzle, with a standard deviation of 4.5 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean puzzle-solving times for crows, is less than μ₂, the mean puzzle-solving times for sparrows? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Р Ho :O H₁:0 ô (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean puzzle-solving times for crows is less than the mean puzzle-solving times for sparrows? O Yes O No 3 X 0=0 ☐#0 X a S 2 010 00 OSO O

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A cognitive scientist wants to test whether there is any difference in puzzle-solving abilities between crows and sparrows. Independent samples of eight crows and seven sparrows were chosen at random. The crows took a mean of 35 minutes to solve a certain puzzle, with a standard deviation of 4.9 minutes. The sparrows took a mean of 40 minutes to solve the same puzzle, with a standard deviation of 4.5 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean puzzle-solving times for crows, is less than μ₂, the mean puzzle-solving times for sparrows? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Р Ho :O H₁:0 ô (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean puzzle-solving times for crows is less than the mean puzzle-solving times for sparrows? O Yes O No 3 X 0=0 ☐#0 X a S 2 010 00 OSO O<O G ロミロ ロ<ロ ?
Transcribed Image Text:A cognitive scientist wants to test whether there is any difference in puzzle-solving abilities between crows and sparrows. Independent samples of eight crows and seven sparrows were chosen at random. The crows took a mean of 35 minutes to solve a certain puzzle, with a standard deviation of 4.9 minutes. The sparrows took a mean of 40 minutes to solve the same puzzle, with a standard deviation of 4.5 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean puzzle-solving times for crows, is less than μ₂, the mean puzzle-solving times for sparrows? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Р Ho :O H₁:0 ô (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean puzzle-solving times for crows is less than the mean puzzle-solving times for sparrows? O Yes O No 3 X 0=0 ☐#0 X a S 2 010 00 OSO O<O G ロミロ ロ<ロ ?
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