Resources Hint Chee on 15 of 17 One method for measuring air pollution is to mea

Question

Resources Hint Chee on 15 of 17 One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Budapest, Hungary. She randomly selects 40 locations throughout the city measures the CO concentration at each location. Based on her 40 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Budapest, in g/m? , to be 428. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 31 locations? Nina increases the sample size to 55 locations? scroll MacBook Air

Explanation / Answer

95% ME = 4.28
t-value = 2.0227
SE = ME/t = 4.28/2.0227 = 2.116
s = SE*sqrt(n) = 2.116*sqrt(40) = 13.3828

Nina decreases the CI to 90%

ME decreases

2. Nina increases CI to 99%

ME increases

3. Nina decreases the sample size to 31

ME increases

4. Nina increases sample size to 55

ME decreases

CI for 90% n 40 t-value of 90% CI 1.6849 std. dev. 13.38275906 SE = std.dev./sqrt(n) 2.11600 ME = t*SE 3.56520

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