A study was performed looking at the effect of mean ozone exposure on change in pulmonary function. Forty-seven hikers were recruited into the study, 25 study participants hiked on days with high ozone exposure, and 22 hiked on days with low-ozone exposure. The change in pulmonary function after a 4-hour hike was recorded for each participant. The results are given below. Ozone level Mean change in FEV SD N High 0.22 0.3 21 Low. 0.06 0.2 31 (a) Find out using an appropriate hypothesis test, which test can be used to determine whether the mean change in Forced expiratory volume (FEV) differs between the high-ozone and low-ozone days for 0.01 level of significance? (b) Carry out the test that true average FEV between the high ozone and low ozone days differs for 0.01 level of significance. For both parts (a) and (b), answer below. (i) Specify the Null and Alternate hypothesis. (ii) State the Test Statistic in notations first and then calculate its value. (iii) Find critical value.(iv) State statistical conclusion and conclusion in context of problem.
A study was performed looking at the effect of
Ozone level Mean change in FEV SD N
High 0.22 0.3 21
Low. 0.06 0.2 31
(a) Find out using an appropriate hypothesis test, which test can be used to determine whether the mean change in Forced expiratory volume (FEV) differs between the high-ozone and low-ozone days for 0.01 level of significance?
(b) Carry out the test that true average FEV between the high ozone and low ozone days differs for 0.01 level of significance.
For both parts (a) and (b), answer below.
(i) Specify the Null and Alternate hypothesis.
(ii) State the Test Statistic in notations first and then calculate its value.
(iii) Find critical value.(iv) State statistical conclusion and conclusion in context of problem.
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