### Statistical Analysis of Soda Can Volumes**Scenario:**Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 22 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.70 oz, a range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.05 significance level. Complete parts (a) through (d) below.**Procedure:**b. **Compute the test statistic:**\[ \chi^2 = \boxed{\hspace{30px}} \](Round to three decimal places as needed.)c. **Find the P-value:**\[ \text{P-value} = \boxed{\hspace{30px}} \](Round to four decimal places as needed.)d. **State the conclusion:**\[\text{Reject } H_0, \text{ because the P-value is} \boxed{\hspace{50px}} \text{ the level of significance. There is} \boxed{\hspace{50px}} \text{ evidence to conclude that the population standard deviation of can volumes is less than 0.18 oz.}\]**Options to assist:**- **Help me solve this**- **View an example**- **Get more help**- **Next****Note:**The values enclosed in boxes (\(\boxed{\hspace{30px}}\)) are to be filled in with the appropriate numerical calculations based on the steps provided in the scenario. The procedure involves determining the chi-square test statistic and the associated P-value to make a decision concerning the null hypothesis (\( H_0 \)).Make sure to follow each step correctly, and refer to your course materials for detailed explanations and examples of computing chi-square test statistics and P-values.

Given: Sample size (n) = 22 Sample standard deviation (s) = 0.14 Population standard deviation…

Answered: Workers at a certain soda drink factory…

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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In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
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It takes an average of 8.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 62 injured patients to immediately tell the truth about the injury and noticed that they averaged 7.8 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.11 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? V Select an answer Hj: ? VSelect an answer V c. The test statistic ? V = (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? Va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) | the null hypothesis. O The data suggest the population mean is not significantly less than 8.1 at a = 0.05, so…

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