Question

In: Statistics and Probability

An environmental impact assessment conducted in the wake of COVID19 lockdown assessed the difference in toxic...

An environmental impact assessment conducted in the wake of COVID19 lockdown assessed the difference in toxic air particles’ exposure in following two samples: 1. 100 construction workers in Defence Lahore 2. 120 construction workers in Sundar Industrial Estate (SIE) The mean exposure of workers in Defence was 20 mg/m3 with a standard deviation of 8 33 mg/m . For workers in SIE, the mean exposure was 10 mg/m with a standard deviation of 3 2.5 mg/m . (a) Use a 90% confidence interval to describe the difference in the exposures. (b) Test the null hypothesis that the exposures for these two types of workers are the same.

Solutions

Expert Solution

a) 90% Confidence interval to difference in the expoposures is

b) Test the null hypothesis that the exposures for these two types of workers are the same.

(1) Null and Alternative Hypothsis:

H0: the exposures for these two types of workers are the same.

H1: the exposures for these two types of workers are not the same.

i.e. thus we conclude that  the exposures for these two types of workers are not the same.


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