Listed in the table are weights of red M&Ms in grams. Test the claim that the weights of red M&Ms have a standard deviation of 0.005 grams at the 10% significance level. Assume that the sample is from a normally distributed population. 0.851 0.849 0.851 0.85 0.851 0.852 0.85 0.853 0.857 0.848 0.853 0.855 0.853 0.85 0.85 0.855 0.849 0.852 0.845 0.85 0.844 0.849 What are the correct hypotheses? (Select the correct symbols and values.) H0: Select an answer s² μ s σ² p̂ σ p x̄ ? = ≤ < > ≠ ≥ grams Original claim = Select an answer H₀ H₁ H1: Select an answer p σ² s σ μ p̂ x̄ s² ? < ≤ = ≠ > ≥ grams Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) X2Χ2(,) = < X2Χ2(,) = (Round to three decimal places.) Test Statistic = (Round to three decimal places.) Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Reject the null hypothesis . Conclusion: Select an answer The sample data supports There is not enough evidence to support There is sufficient evidence to warrant rejection of There is not sufficient evidence to warrant rejection of the claim that the weights of red M&Ms have a standard deviation of 0.005 grams. Submit QuestionQuestion 2

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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Listed in the table are weights of red M&Ms in grams. Test the claim that the weights of red M&Ms have a standard deviation of 0.005 grams at the 10% significance level. Assume that the sample is from a normally distributed population.

0.851	0.849	0.851
0.85	0.851	0.852
0.85	0.853	0.857
0.848	0.853	0.855
0.853	0.85	0.85
0.855	0.849	0.852
0.845	0.85	0.844
0.849

What are the correct hypotheses? (Select the correct symbols and values.)
H₀: Select an answer s² μ s σ² p̂ σ p x̄ ? = ≤ < > ≠ ≥ grams Original claim = Select an answer H₀ H₁

H₁: Select an answer p σ² s σ μ p̂ x̄ s² ? < ≤ = ≠ > ≥ grams

Enter the critical values, along with the significance level and degrees of freedom χ2χ2_(αα,df) below the graph. (Graph is for illustration only. No need to shade.)

X2Χ2_(,) =

(Round to three decimal places.)

Test Statistic = (Round to three decimal places.)

Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Reject the null hypothesis .

Conclusion: Select an answer The sample data supports There is not enough evidence to support There is sufficient evidence to warrant rejection of There is not sufficient evidence to warrant rejection of the claim that the weights of red M&Ms have a standard deviation of 0.005 grams.

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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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