Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82408 lb, s=0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below. . Identify the critical value ta/2 used for finding the margin of error. 1/2 = 0 Round to two decimal places as needed.) . Find the margin of error. Round to five decimal places as needed.) Find the confidence interval estimate of μ. lb

MATLAB: An Introduction with Applications
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Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x̄ = 0.82408 lb, s = 0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below.

a. Identify the critical value t(α/2) used for finding the margin of error.

t(α/2) = [ ]  
(Round to two decimal places as needed.)

b. Find the margin of error.

E = [ ] lb  
(Round to five decimal places as needed.)

c. Find the confidence interval estimate of μ.

[ ] lb < μ < [ ] lb  
(Round to five decimal places as needed.)

d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.

- A. One has 95% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.
- B. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.
- C. There is a 95% chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound.
- D. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can.
Transcribed Image Text:Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x̄ = 0.82408 lb, s = 0.00568 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value t(α/2) used for finding the margin of error. t(α/2) = [ ] (Round to two decimal places as needed.) b. Find the margin of error. E = [ ] lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. [ ] lb < μ < [ ] lb (Round to five decimal places as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. - A. One has 95% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can. - B. Approximately 95% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound. - C. There is a 95% chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound. - D. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can.
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