A sanitation department is interested in estimating the mean amount of garbage p

Question

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 40 bins, the sample mean amount was 50.1 pounds and the sample standard deviation was 4.7 pounds. Construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city a) what is the lower limit of the 95% interval? Give your answer to three decimal places. b) what is the upper limit of the 95% interval? Give your answer to three decimal places. c) what is the lower limit of the 99% interval? Give your answer to three decimal places. d) What is the upper limit of the 99% interval? Give your answer to three decimal places. e) Consider the claim that the mean amount of garbage per bin is 51.785s pounds. Is the following statement true or false? The decision about the claim would depend on whether we use a 95% or 99% confidence interval. True False

Explanation / Answer

The statistical software output for this problem is:

One sample T summary confidence interval:
: Mean of population

95% confidence interval results:

99% confidence interval results:

Hence,

a) Lower limit of 95% confidence = 48.597

b) Upper limit of 95% confidence = 51.603

c) Lower limit of 99% confidence = 48.088

d) Upper limit of 99% confidence = 52.112

e) True

Mean Sample Mean Std. Err. DF L. Limit U. Limit 50.1 0.74313525 39 48.596867 51.603133

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.