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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: USE SALT 0.102 0.047 sd n 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.) 1₁-1₂!=0 ✓ 0.103 25 O two-sample t test for independent samples with unequal variances F test for the equality of two variances two-sample t test for independent samples with equal variances paired t test (b) Implement the test in part (a), and report a p-value (two-tailed). (Use α = 0.05.) State the null and alternative hypotheses (in L). (Enter != for as needed.) Ho: 1₁-1₂=0 Find the test statistic. (Round your answer to two decimal places.) 1.14 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* High Low H₁: USE SALT 0.102 0.047 sd n 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.) 1₁-1₂!=0 ✓ 0.103 25 O two-sample t test for independent samples with unequal variances F test for the equality of two variances two-sample t test for independent samples with equal variances paired t test (b) Implement the test in part (a), and report a p-value (two-tailed). (Use α = 0.05.) State the null and alternative hypotheses (in L). (Enter != for as needed.) Ho: 1₁-1₂=0 Find the test statistic. (Round your answer to two decimal places.) 1.14 X Use technology to find the p-value. (Round your answer to four decimal places.) p-value=

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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How would you find the test statistics and the p-value on this problem?

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 Ho: Low H₁: USE SALT 0.102 0.047 sd n 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.) 0.103 25 two-sample t test for independent samples with unequal variances F test for the equality of two variances two-sample t test for independent samples with equal variances paired t test (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.) μ₁ −μ₂2=0 μ₁ −μ₂ != 0 Find the test statistic. (Round your answer to two decimal places.) 1.14 Use technology to find the p-value. (Round your answer to four decimal places.) p-value =
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 Ho: Low H₁: USE SALT 0.102 0.047 sd n 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.) 0.103 25 two-sample t test for independent samples with unequal variances F test for the equality of two variances two-sample t test for independent samples with equal variances paired t test (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.) μ₁ −μ₂2=0 μ₁ −μ₂ != 0 Find the test statistic. (Round your answer to two decimal places.) 1.14 Use technology to find the p-value. (Round your answer to four decimal places.) p-value =
Expert Solution
Step 1

The question is about hypo. testing

Given :

Sample mean change for high Ozone level ( x¯1 ) = 0.102

Sample std. deviation for high Ozone level ( s1 ) = 0.252

Randomly selected samples for High ( n1 ) = 25

Sample mean change for low Ozone level ( x¯2 ) = 0.047

Sample std. deviation for low Ozone level ( s2 ) = 0.103

Randomly selected samples for low ( n2 ) = 25

 

To find :

Test stat and p value

 

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