b) Provide the p-value of the above test. **Hypothesis Testing Problem****Objective:**Test the following claim. Ensure to include the critical value, a sketch of the critical value, and the test statistic.**Problem Statement:**A simple random sample of weights of 19 green M&Ms has a mean weight of 0.8635 grams. Assume that the population standard deviation $ \sigma = 0.0565 $ grams. Use a 0.05 significance level to test the claim that the mean weight of all green M&Ms is less than 0.845 grams, which is the mean weight printed on the label.**Solution Steps:**1. **State the Null and Alternative Hypotheses:** - Null Hypothesis ($ H_0 $): The mean weight of green M&Ms is 0.845 grams. - Alternative Hypothesis ($ H_a $): The mean weight of green M&Ms is less than 0.845 grams.2. **Determine the Significance Level:** - Use a significance level ($ \alpha $) of 0.05.3. **Calculate the Test Statistic:** - Use the z-test for hypothesis testing since the population standard deviation is known. - The formula for the z-test statistic is: \[ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \] where $ \bar{x} $ is the sample mean, $ \mu $ is the population mean, $ \sigma $ is the standard deviation, and $ n $ is the sample size.4. **Find the Critical Value:** - Determine the critical value from the z-table for a one-tailed test at $ \alpha = 0.05 $.5. **Sketch and Analyze:** - Create a sketch showing the normal distribution curve, the critical region, and the location of the test statistic. - Compare the test statistic to the critical value to determine whether to reject the null hypothesis.6. **Conclusion:** - Based on the comparison, conclude whether the mean weight of all green M&Ms is statistically less than 0.845 grams.

Name: b) Provide the p-value of the above test. **Hypothesis Testing Proble
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Description: b) Provide the p-value of the above test. **Hypothesis Testing Problem****Objective:**Test the following claim. Ensure to include the critical value, a sketch of the critical value, and the test statistic.**Problem Statement:**A simple random sample

Given, n = 19M=0.8635σ=0.0565μ=0.8435α=0.05 The null and alternative hypotheses are, H0 : μ=0.8435H1…

Math

Statistics

Test the following claim. Make sure to include the critical value, a sketch of the critical value, and the test statistic. A simple random sample of weights of 19 green M&Ms has a mean of .8635 g. Assume that o =.0565 g. Use a .05 significance level to test the claim that the mean weight of all green M&Ms is less than 8435g, which is the mean weight printed on the label.

Test the following claim. Make sure to include the critical value, a sketch of the critical value, and the test statistic. A simple random sample of weights of 19 green M&Ms has a mean of .8635 g. Assume that o =.0565 g. Use a .05 significance level to test the claim that the mean weight of all green M&Ms is less than 8435g, which is the mean weight printed on the label.

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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