3 A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of eleven boys and fourteen girls were chosen at random. The boys...

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Extracted text: 3 A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of eleven boys and fourteen girls were chosen at random. The boys took a mean of 42 minutes to solve a certain puzzle, with a standard deviation of 5.2 minutes. The girls took a mean of 42 minutes to solve the same puzzle, with a standard deviation of 4.8 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that the mean puzzle-solving times for boys, H, differs from the mean puzzle-solving times for girls, µ,? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H:0 H 0 The alternative hypothesis: OSO The type of test statistic: (Choose one) v O


Extracted text: mpt. Tor On The null hypothesis: H :0 The alternative hypothesis: H :0 O=0 OSO The type of test statistic: |(Choose one) ♥ The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.01 level of significance: O and I (Round to at least three decimal places.) Can we conclude that the mean puzzle-solving times for boys differs from the mean puzzle- solving times for girls? O Yes O No Save For Later Submit Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of UseI Privacy olo |×