37 packages are randomly selected from packages received by a parcel service. The sample has a

mean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidence

interval for the true mean weight, µ, of all packages received by the parcel service?

Question

Leo Burton

Mathematics

3 August, 23:20

37 packages are randomly selected from packages received by a parcel service. The sample has a

mean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidence

interval for the true mean weight, µ, of all packages received by the parcel service?

+5

Answers (1)

Know the Answer?

Katelynn Parrish · Answer 1

True mean = mean + / - Z * (SD/sqrt (n))

Where

Z = 1.96 at 95% confidence interval

Mean = 10.3 pounds

SD = standard deviation = 2.4 pounds

n = sample size = 37 packages

Substituting;

True mean range = 10.3 + / - 1.96 * 2.4/Sqrt (37) = 10.3 + / - 0.77 = 9.53

37 packages are randomly selected from packages received by a parcel service. The sample has amean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidenceinterval for the true mean weight, µ, of all packages received by the parcel service?

37 packages are randomly selected from packages received by a parcel service. The sample has a

mean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidence

interval for the true mean weight, µ, of all packages received by the parcel service?