A machine that is programmed to package 1.60pounds of cereal is being tested for its accuracy. In a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.07 pound. (You may find it useful to reference the z table.)

a-1. Compute its point estimate as well as the margin of error with 95% confidence.

Point estimate ________ (round final answers to 2 decimal places).

Margin of error __________ (round final answers to 2 decimal places).

b-1. Calculate the 95% confidence interval (Round final answers to 2 decimal places)

Confidence interval _________ to _____________

c. How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence? (Round up final answer to nearest whole number.)

Sample size __________