A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. She identifies the null and alternative hypotheses as: H₀: The level of contrast between eye color and skin tone does not affect how feminine a face is considered. H₁: The level of contrast between eye color and skin tone affects how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀. Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered. What decision should the graduate student make if the test statistic is in the critical region? The graduate student should reject the null hypothesis. The graduate student cannot reject the null hypothesis. The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 2.63 and the boundary to the critical region is 1.96. The test statistic is the critical region. Therefore, the graduate student reject the null hypothesis, and she conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered. You may use the Distributions tool if you find it helpful. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 -4-3-2-101234z.2500.5000.2500-0.6740.674

A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. She identifies the null and alternative hypotheses as: H₀: The level of contrast between eye color and skin tone does not affect how feminine a face is considered. H₁: The level of contrast between eye color and skin tone affects how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀. Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered. What decision should the graduate student make if the test statistic is in the critical region? The graduate student should reject the null hypothesis. The graduate student cannot reject the null hypothesis. The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 2.63 and the boundary to the critical region is 1.96. The test statistic is the critical region. Therefore, the graduate student reject the null hypothesis, and she conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered. You may use the Distributions tool if you find it helpful. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 -4-3-2-101234z.2500.5000.2500-0.6740.674

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 graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. She identifies the null and alternative hypotheses as:

H₀: The level of contrast between eye color and skin tone does not affect how feminine a face is considered.

H₁: The level of contrast between eye color and skin tone affects how feminine a face is considered.

She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀.

Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply.

There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered.

There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered.

There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered.

There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered.

What decision should the graduate student make if the test statistic is in the critical region?

The graduate student should reject the null hypothesis.

The graduate student cannot reject the null hypothesis.

The graduate student should reject the alternative hypothesis.

Suppose that the test statistic is 2.63 and the boundary to the critical region is 1.96. The test statistic is the critical region. Therefore, the graduate student reject the null hypothesis, and she conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered.

You may use the Distributions tool if you find it helpful.

Standard Normal Distribution

Mean = 0.0

Standard Deviation = 1.0

-4-3-2-101234z.2500.5000.2500-0.6740.674

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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