A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and fourteengirls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle, with a standard deviation of 4.3 minutes. The girls took a mean of32 minutes to solve the same puzzle, with a standard deviation of 5.4 minutes. Assume that the two populations of completion times are normally distributed,and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that the mean puzzle-solving times for boys, µ, differs from themean 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.The alternative hypothesis:H :0The type of test statistic:(Choose one) vThe value of the test statistic:(Round to at least threedecimal places.)The two critical values at the0.05 level of significance:(Round to at least threedecimal places.)||and|Can we conclude that the mean puzzle-solvingtimes for boys differs from the mean puzzle-solvingtimes for girls?YesNo

Name: A psychologist wants to test whether there is any difference in puzzl
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and fourteengirls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle