Question

(b) the figure below is a histogram of 200 diameters obtained by using one of the two sampling methods described. considering the shape of the histogram, explain which method, method 1 or method 2, was most likely used to obtain a such a sample.

(c) which of the two sampling methods, method 1 or method 2, will result in less variability in the diameters of the 200 tortillas in the sample on a given day? explain.

each day, the distribution of the 200,000 tortillas made that day has mean diameter 6 inches with standard deviation 0.11 inch.

(d) for samples of size 200 taken from one day’s production, describe the sampling distribution of the sample mean diameter for samples that are obtained using method 1.

(e) suppose that one of the two sampling methods will be selected and used every day for one year (365 days). the sample mean of the 200 diameters will be recorded each day. which of the two methods will result in less variability in the distribution of the 365 sample means? explain.

(f) a government inspector will visit the facility on june 22 to observe the sampling and to determine if the factory is in compliance with the advertised mean diameter of 6 inches. the manager knows that, with both sampling methods, the sample mean is an unbiased estimator of the population mean. however, the manager is unsure which method is more likely to produce a sample mean that is close to 6 inches on the day of sampling. based on your previous answers, which of the two sampling methods, method 1 or method 2, is more likely to produce a sample mean close to 6 inches? explain.

Explanation:

Answer:

Method 2.
Method 1.
Normal distribution with mean 6 inches and standard deviation \( \frac{0.11}{\sqrt{200}} \approx 0.0078 \) inch.
Method 1.
Method 1.