A study was performed looking at the effect of mean ozone exposure on change in pulmonary function. Fifty hikers were recruited into the study; 25 study participants hiked on days with low-ozone exposure, and 25 hiked on days with high-ozone exposure. The change in pulmonary function after a 4-hour hike was recorded for each participant. The results are given in the table below. (Let population 1 be high-ozone exposure and population 2 be low-ozone exposure. Use high-low.) Comparison of change in FEV on high-ozone vs. low-ozone days Ozone level Mean change in FEV* 0.108 High Low LA USE SALT 0.041 sd n 0.252 25 0.101 25 (a) What test can be used to determine whether the mean change in FEV differs between the high-ozone and low-ozone days? (You may need to use the Distribution Calculators page in SALT to check conditions.) paired t test two-sample t test for independent samples with equal variances F test for the equality of two variances two-sample t test for independent samples with unequal variances (b) Implement the test in part (a), and report a p-value (two-tailed). (Use a = 0.05.) State the null and alternative hypotheses (in L). (Enter != for as needed.) Ho: H₁ H₂ ✓ H₂: H₂!=H₂ ✓ Find the test statistic. (Round your answer to two decimal places.) 0.94 x Use technology to find the p-value. (Round your answer to four decimal places.) p-value=
A study was performed looking at the effect of mean ozone exposure on change in pulmonary function. Fifty hikers were recruited into the study; 25 study participants hiked on days with low-ozone exposure, and 25 hiked on days with high-ozone exposure. The change in pulmonary function after a 4-hour hike was recorded for each participant. The results are given in the table below. (Let population 1 be high-ozone exposure and population 2 be low-ozone exposure. Use high-low.) Comparison of change in FEV on high-ozone vs. low-ozone days Ozone level Mean change in FEV* 0.108 High Low LA USE SALT 0.041 sd n 0.252 25 0.101 25 (a) What test can be used to determine whether the mean change in FEV differs between the high-ozone and low-ozone days? (You may need to use the Distribution Calculators page in SALT to check conditions.) paired t test two-sample t test for independent samples with equal variances F test for the equality of two variances two-sample t test for independent samples with unequal variances (b) Implement the test in part (a), and report a p-value (two-tailed). (Use a = 0.05.) State the null and alternative hypotheses (in L). (Enter != for as needed.) Ho: H₁ H₂ ✓ H₂: H₂!=H₂ ✓ Find the test statistic. (Round your answer to two decimal places.) 0.94 x Use technology to find the p-value. (Round your answer to four decimal places.) p-value=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Part B
Transcribed Image Text:A study was performed looking at the effect of mean ozone exposure on change in pulmonary function. Fifty hikers were recruited into the study; 25 study participants hiked on days with low-ozone exposure, and 25 hiked on days with high-ozone exposure. The change in pulmonary function after
a 4-hour hike was recorded for each participant. The results are given in the table below. (Let population 1 be high-ozone exposure and population 2 be low-ozone exposure. Use high-low.)
Comparison of change in FEV on high-ozone vs.
low-ozone days
Ozone level Mean change in FEV*
High
Low
H₁:
LAUSE SALT
0.108
0.041
sd n
Hy! My
0.252 25
(a) What test can be used to determine whether the mean change in FEV differs between the high-ozone and low-ozone days? (You may need to use the Distribution Calculators page in SALT to check conditions.)
paired t test
0.101 25
two-sample t test for independent samples with equal variances
F test for the equality of two variances
two-sample t test for independent samples with unequal variances
(b) Implement the test in part (a), and report a p-value (two-tailed). (Use a = 0.05.)
State the null and alternative hypotheses (in L). (Enter != for as needed.)
Ho:
Find the test statistic. (Round your answer to two decimal places.)
0.94
X
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value=
Expert Solution
Step 1
Introduction:
Denote μ1, μ2 as the true mean change in FEV for the high-ozone and low-ozone exposure groups, respectively.
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