# Question: Prairie Flower Cereal Inc is a small but growing producer

Prairie Flower Cereal, Inc., is a small but growing producer of hot and ready-to-eat breakfast cereals. The company was started in 1910 by Gordon Thorson, a successful grain farmer. You have been asked to test the cereal-packing process of 18-ounce (510-gram) boxes of sugar-coated wheat cereal. Two machines are used for the packaging process. Twenty samples of five packages each are randomly sampled and weighed. The data are contained in the file Sugar Coated Wheat.

a. Compute the overall sample mean, sample variance, and variance of the sample means for each machine.

b. Determine the probability that a single sample mean is below 500 if the process is operating properly for each machine.

c. Determine the probability that a single sample mean is above 508 if the process is operating properly for each machine.

d. Using your statistical computer package, obtain 20 random samples of size n = 5 packages for each machine and compute the sample mean for each sample. Count the number of sample means that are below 500 and the number that are above 508.

a. Compute the overall sample mean, sample variance, and variance of the sample means for each machine.

b. Determine the probability that a single sample mean is below 500 if the process is operating properly for each machine.

c. Determine the probability that a single sample mean is above 508 if the process is operating properly for each machine.

d. Using your statistical computer package, obtain 20 random samples of size n = 5 packages for each machine and compute the sample mean for each sample. Count the number of sample means that are below 500 and the number that are above 508.

## Answer to relevant Questions

Another product packaged by Prairie Flower Cereal, Inc., is an apple-cinnamon cereal. To test the packaging process of 40-ounce (1,134-gram) packages of this cereal, 23 samples of six packages each are randomly sampled and ...A simple random sample is to be taken of 527 business majors in a college to estimate the proportion favoring greater emphasis on business ethics in the curriculum. How many observations are necessary to ensure that a 95% ...A college admissions officer for an MBA program has determined that historically applicants have undergraduate grade point averages that are normally distributed with standard deviation 0.45. From a random sample of 25 ...Calculate the width for each of the following. a. n = 6; s = 40; α = 0.05 b. n = 22; s2 = 400; α = 0.01 c. n = 25; s = 50; α = 0.10 Find the margin of error to estimate the population proportion for each of the following. a. n = 350; p` = 0.30; α = 0.01 b. n = 275; p` = 0.45; α = 0.05 c. n = 500; p` = 0.05; α = 0.10Post your question