Step 1. Test Set-up Tony V. owns a house painting business in Seattle. Based in his data, that it takes his crew three-and-a-half days to paint the interior of a typical house (u = 3.5). He has no estimate of the population standard deviation, 6. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. The new paint is just as good as the old paint and costs the same. Research Question: Does the new paint allow Tony to complete a house painting job faster than the paint he has been using? 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 Medium 0.5 0.2 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 z.html. Will a sample of 35 homes achieve 80% or more statistical power? Place and X in the appropriation box: Yes No Here is the sample of 35 houses Tony painted using the new paint.: Days to Paint a House 3.40 3.75 3.33 3.50 3.33 3.50 3.00 3.40 3.50 3.40 3.00 2.85 3.85 3.33 3.33 3.25 3.00 3.50 3.50 3.33 3.33 2.75 3.50 2.75 3.40 3.33 3.50 3.50 0.33 3.40 3.50 3.33 3.50 3.00 3.40 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, jµ t-test for the population mean, u 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:

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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Question
Can you do questions 1-3 please
Step 1. Test Set-up
Tony V. owns a house painting business in Seattle. Based in his
data, that it takes his crew three-and-a-half days to paint the
interior of a typical house (u = 3.5). He has no estimate of the
population standard deviation, o. He is testing a new paint that
is supposed to dry faster than the paint he has been using for
over thirty years. The new paint is just as good as the old paint
and costs the same. Research Question: Does the new paint
allow Tony to complete a house painting job faster than the
paint he has been using?
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 z.html.
Will a sample of 35 homes achieve 80% or more statistical
power? Place and X in the appropriation box:
Yes No
Here is the sample of 35 houses Tony painted using the new
paint.:
Days to Paint a House
3.40 3.75 3.33 3.50 3.33
3.50 3.00 3.40 3.50 3.40
3.00 2.85 3.85 3.33 3.33
3.25 3.00 3.50 3.50 3.33
3.33 2.75 3.50 2.75 3.40
3.33 3.50 3.50 0.33 3.40
3.50 3.33 3.50 3.00 3.40
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, ji
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
Right-tail
Answer:
Test
Transcribed Image Text:Step 1. Test Set-up Tony V. owns a house painting business in Seattle. Based in his data, that it takes his crew three-and-a-half days to paint the interior of a typical house (u = 3.5). He has no estimate of the population standard deviation, o. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. The new paint is just as good as the old paint and costs the same. Research Question: Does the new paint allow Tony to complete a house painting job faster than the paint he has been using? 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 z.html. Will a sample of 35 homes achieve 80% or more statistical power? Place and X in the appropriation box: Yes No Here is the sample of 35 houses Tony painted using the new paint.: Days to Paint a House 3.40 3.75 3.33 3.50 3.33 3.50 3.00 3.40 3.50 3.40 3.00 2.85 3.85 3.33 3.33 3.25 3.00 3.50 3.50 3.33 3.33 2.75 3.50 2.75 3.40 3.33 3.50 3.50 0.33 3.40 3.50 3.33 3.50 3.00 3.40 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, ji 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 Right-tail Answer: Test
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