Question

The quality control section of an industrial firm uses systematic sampling to estimate the average amount of fill in 12-ounce cans coming off an assembly line. The data in the accompanying table represent a 1-in-50 systematic sample of the production in one day. Estimate m and place a bound on the error of estimation. Assume N = 1800.

Answer 1

In systematic sampling, every k-th item from a population is selected to be part of the sample. To estimate the population mean and place a bound on the error of estimation, we can use the formula for margin of error.

Step-by-step explanation:

In systematic sampling, every k-th item from a population is selected to be part of the sample. In this case, the sample is a 1-in-50 systematic sample, which means every 50th item is selected. Assuming N = 1800, we can estimate the population mean (m) by averaging the values of the items in the sample. To find the bound on the error of estimation, we can use the formula:

E = (Z * σ) / sqrt(n)

Where E is the margin of error, Z is the z-score corresponding to the desired level of confidence, σ is the population standard deviation, and n is the sample size. Plug in the given values to calculate the margin of error and add/subtract it from the sample mean to get the confidence interval.