Question

the mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. the study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds. what is the confidence interval for the mean number of lbs of trash per person per week that is generated in the city? group of answer choices (30.090, 32.910) (30.104, 32.896) (29.636, 33.364)

Answer 1

So, the correct answer is (30.104, 32.896).

Explanation:

To find the 95% confidence interval for the mean number of pounds of trash per person per week, we can use the following formula:

CI = X + Zα/2 * (σ/√n)

σ = population standard deviation = 7.8 pounds

n = sample size = 120

Plugging in the values, we get:

CI = 31.5 ± 1.96 \times(7.8/√120)

CI = 31.5 ± 1.96 \times 0.711

CI = 31.5 ± 1.39

Therefore, the 95% confidence interval for the mean number of pounds of trash per person per week is (30.11, 32.89).

So, the correct answer is (30.104, 32.896).

Answer 2

I don’t know the answer, but I think that’s the right answer is number three Dad, so strong question for me, but I think that it