Data set 27 “M&M” weights in Appendix B lists data from 100 M&Ms and 27% of them are blue. The Mars candy company states that the percentage of blue M&Ms is equal to 24%. Test this claim using a significance level of α = 0.05.State the null hypothesis (H0).State the alternative hypothesis (H1).What kind of test would this be, a two-tailed, a left-tailed, or a right-tailed?Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. (Will this be a negative or positive z-score?) This is the critical value. What is it?Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region.Calculate the test statistic z. (Use the formula on page 401. Show your work.) What is it?On your graph, plot the z test statistic. Does it lie inside or outside the critical region?State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)Should the Mars company take corrective action? Why or why not?Using the z-tables at the back of the textbook, what P-value is associated with this test statistic z?Based on this P-value, would you Reject H0 or fail to reject H0? Why do you think so?

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Answered: Data set 27 “M&M” weights in Appendix B…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Data set 27 “M&M” weights in Appendix B lists data from 100 M&Ms and 27% of them are blue. The Mars candy company states that the percentage of blue M&Ms is equal to 24%. Test this claim using a significance level of α = 0.05.

State the null hypothesis (H0).
State the alternative hypothesis (H1).
What kind of test would this be, a two-tailed, a left-tailed, or a right-tailed?
Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. (Will this be a negative or positive z-score?) This is the critical value. What is it?
Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region.
Calculate the test statistic z. (Use the formula on page 401. Show your work.) What is it?
On your graph, plot the z test statistic. Does it lie inside or outside the critical region?
State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)
Should the Mars company take corrective action? Why or why not?
Using the z-tables at the back of the textbook, what P-value is associated with this test statistic z?
Based on this P-value, would you Reject H0 or fail to reject H0? Why do you think so?

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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