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Difference in puzzle-solving abilities between boys and girl

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Reference no: EM132514708

A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and eight girls were chosen at random. The boys took a mean of 36 minutes to solve a certain puzzle, with a standard deviation of 5.1 minutes. The girls took a mean of 37 minutes to solve the same puzzle, with a standard deviation of 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 0.1 level of significance, that the mean puzzle-solving times for boys, μ1 is less than the mean puzzle-solving times for girls, μ2?

Perform a one-tailed test.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

-The null hypothesis: H0

-The alternative hypothesis: H1

The type of test statistic:(Choose one)

Z / t / Chi square / F

The value of the test statistic: (Round to at least three decimal places.)

The p-value: (Round to at least three decimal places.)

Can we conclude that the mean puzzle-solving times for boys is less than the mean puzzle-solving times for girls? Yes or No.

Reference no: EM132514708

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