A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of fourteen boys and seven girls were chosen at random. The boys took a mean of 44 minutes to solve a certain puzzle, with a standard deviation of 4 minutes. The girls took a mean of 44 minutes to solve the same puzzle, with a standard deviation of 4.1 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 greater than the mean puzzle-solving times for girls, μ2? Perform a one-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. 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 greater than the mean puzzle-solving times for girls? Yes No

Name: A psychologist wants to test whether there is any difference in puzzle
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of fourteen boys and seven girls were chosen at random. The boys took a mean of 44 minutes to solve a certain puzzle,

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 psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of fourteen boys and seven girls were chosen at random. The boys took a mean of 44 minutes to solve a certain puzzle, with a standard deviation of 4 minutes. The girls took a mean of 44 minutes to solve the same puzzle, with a standard deviation of 4.1 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 greater than the mean puzzle-solving times for girls, μ2?

Perform a one-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.

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 greater than the mean puzzle-solving times for girls?	Yes	No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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