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Please answer questions 1-4

Please answer questions 1-4

MATLAB: An Introduction with Applications
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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Please answer questions 1-4
Exercise 1: Step 1. Test Set-up The average family home in Dry Gulch, Arizona uses 69 gallons of water a day (µ = 69), and the population standard deviation is presumed to be 8 gallons per day (o = 8). The town leaders want to reduce water consumption. They have instituted a study of new equipment designed to reduce water consumption. The new equipment is installed in 100 homes. The research question: Does the new equipment reduce water consumption? Test at a 5% significance level. Here are the average daily gallons of water consumed in the test homes: Assignment04.pdf Page 1 of 5 Assignment 4: Chapters 13 & 14 Daily Water Use is Gallons 69 65 64 66 67 63 69 68 70 65 63 65 68| 66 66 67 73 71| 69| 67 67 67 68 73 66 66 66 65 69 60 63 6965 66| 65 68 68 69 66 70 66 63 65 63 67 62 62 69 67 69 64 64 66 69l 61 69 69 66 68 67 71 65 67 63 65 60 67 67 69 65 65 66 64 60 68 69 66 67 65 66 66 69 67 64 68 66 63 65 74 68 67 65 68 64 69 68 65 67 72 67 Question 1: Sample Size Cohen's d effect size is estimated at 0.25, which is a small effect. See the table below: Cohen's d ES Thresholds Small 0.2 Medium 0.5 Large | 0.8 Using the Statistics Kingdom sample size calculator run an a priori statistical power calculation. Will a sample of 100 be large enough to achieve 80% statistical power. Link: https://www.statskingdom.com/sample size t zhtml. Will a sample of 100 homes achieve 80% or more statistical power? Place and X in the appropriation box: Yes No Question 2: What test statistic should you use and why? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Test Test z-test for the population mean, µ t-test for the population mean, A | z-test for the population proportion, a Answer: Question 3: Based on the research question is this a left-tailed, two-tailed, or right-tailed test? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Tails Left-tail Two-tails Test Right-tail Answer: Step 2. Select the Level of Significance, a A 5 percent significance level has been selected. Use the Excel file Finding_CVs_p-values.xlsx to find the critical value or values. Report the critical value or values here: Question 4: What is (are) the critical values(s)? Answer:
Transcribed Image Text:Exercise 1: Step 1. Test Set-up The average family home in Dry Gulch, Arizona uses 69 gallons of water a day (µ = 69), and the population standard deviation is presumed to be 8 gallons per day (o = 8). The town leaders want to reduce water consumption. They have instituted a study of new equipment designed to reduce water consumption. The new equipment is installed in 100 homes. The research question: Does the new equipment reduce water consumption? Test at a 5% significance level. Here are the average daily gallons of water consumed in the test homes: Assignment04.pdf Page 1 of 5 Assignment 4: Chapters 13 & 14 Daily Water Use is Gallons 69 65 64 66 67 63 69 68 70 65 63 65 68| 66 66 67 73 71| 69| 67 67 67 68 73 66 66 66 65 69 60 63 6965 66| 65 68 68 69 66 70 66 63 65 63 67 62 62 69 67 69 64 64 66 69l 61 69 69 66 68 67 71 65 67 63 65 60 67 67 69 65 65 66 64 60 68 69 66 67 65 66 66 69 67 64 68 66 63 65 74 68 67 65 68 64 69 68 65 67 72 67 Question 1: Sample Size Cohen's d effect size is estimated at 0.25, which is a small effect. See the table below: Cohen's d ES Thresholds Small 0.2 Medium 0.5 Large | 0.8 Using the Statistics Kingdom sample size calculator run an a priori statistical power calculation. Will a sample of 100 be large enough to achieve 80% statistical power. Link: https://www.statskingdom.com/sample size t zhtml. Will a sample of 100 homes achieve 80% or more statistical power? Place and X in the appropriation box: Yes No Question 2: What test statistic should you use and why? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Test Test z-test for the population mean, µ t-test for the population mean, A | z-test for the population proportion, a Answer: Question 3: Based on the research question is this a left-tailed, two-tailed, or right-tailed test? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Tails Left-tail Two-tails Test Right-tail Answer: Step 2. Select the Level of Significance, a A 5 percent significance level has been selected. Use the Excel file Finding_CVs_p-values.xlsx to find the critical value or values. Report the critical value or values here: Question 4: What is (are) the critical values(s)? Answer:
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