A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week. The student gathers information from a random sample of male and female students on campus. The amounts of time spent studying are normally distributed. The data are: MalesFemales2725252919181023162022151419 Please use the appropriate statistical test to analyze these data, and design a hypothesis testing process, get the conclusion about whether there is a difference between male and female students in the amount of time they spend studying each week. If significant, compute the effect size, interpret this, and draw a graph representing the data.

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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 college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week. The student gathers information from a random sample of male and female students on campus. The amounts of time spent studying are normally distributed. The data are:

Males	Females
27	25
25	29
19	18
10	23
16	20
22	15
14	19

Please use the appropriate statistical test to analyze these data, and design a hypothesis testing process, get the conclusion about whether there is a difference between male and female students in the amount of time they spend studying each week. If significant, compute the effect size, interpret this, and draw a graph representing the data.

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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