An engineer suspects that a power plant in the city is increasing the air pollution in the vicinity of the plant. A sample of measurements of carbon monoxide (in mg/m3 of air) in the vicinity of the plant (Group 1) is obtained for comparison with another sample obtained from other locations (Group 2) in the city. Dataset is available at pollution.txt↓ Assuming the measurements for both groups follow a normal distribution and the populations' variances are equal, what is the lower bound of a 95% confidence interval for the difference between the means of the first group and the second group. i.e., µ1 − μ₂. Note: Please round your answer to four decimal places.

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[Statistics] How do you find the lower bound of a confidence interval for the difference of means? The data is given below

Pollution Group
40  1
16  1
44  1
47  1
26  1
64  1
35 1 
53 1 
45 1 
52 1 
31 1 
38 1 
44 1 
29 1 
45 1 
47 1
34 2
28 2 
36 2 
19 2 
35 2 
37 2
36 2 
39 2 
32 2
25 2 
37 2 
40 2 
44 2 
38 2

An engineer suspects that a power plant in the city is increasing the air pollution in the vicinity of the plant. A
sample of measurements of carbon monoxide (in mg/m3 of air) in the vicinity of the plant (Group 1) is obtained
for comparison with another sample obtained from other locations (Group 2) in the city.
Dataset is available at pollution.txt
Assuming the measurements for both groups follow a normal distribution and the populations' variances are
equal, what is the lower bound of a 95% confidence interval for the difference between the means of the first
group and the second group. i.e., 1 - 2.
Note: Please round your answer to four decimal places.
Transcribed Image Text:An engineer suspects that a power plant in the city is increasing the air pollution in the vicinity of the plant. A sample of measurements of carbon monoxide (in mg/m3 of air) in the vicinity of the plant (Group 1) is obtained for comparison with another sample obtained from other locations (Group 2) in the city. Dataset is available at pollution.txt Assuming the measurements for both groups follow a normal distribution and the populations' variances are equal, what is the lower bound of a 95% confidence interval for the difference between the means of the first group and the second group. i.e., 1 - 2. Note: Please round your answer to four decimal places.
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