# Question: As a project for their high school mathematics class four

As a project for their high school mathematics class, four class members purchase packages of a leading breakfast cereal for subsequent weighing and comparison with the 12-ounce label weight. The students are surprised when they weigh the contents of their four packages and find the average weight to be only 11.5 ounces. When they write to the company, its consumer relations representative explains that “the contents of the ‘12- ounce’ packages average 12.2 ounces and have a standard deviation of 0.4 ounces. The amount of cereal will vary from one box to the next, and your sample is very small—this explains why your average weight could be just 11.5 ounces.” If the spokesperson’s information is correct, how unusual would it be for these students to get a sample mean as small as the one they obtained? Be sure to state any assumptions you have made in obtaining your answer.

**View Solution:**## Answer to relevant Questions

Of 500 vehicles sold by an auto dealership last month, 200 have a defect that will require a factory recall for dealer correction. For a simple random sample of n 5 50 of last month’s customers, what is the probability ...The overall pass rate for law school graduates taking the Maryland bar exam has been reported as 76%. Assume that a certain Maryland law school has had 400 of its most recent graduates take the Maryland bar exam, but only ...A consultant conducts a pilot study to estimate a population standard deviation, then determines how large a simple random sample will be necessary to have a given level of confidence that the difference between x-bar and μ ...A researcher has estimated that U.S. college students spend an average of 17.2 hours per week on the Internet. Assuming a simple random sample of 500 college students and a sample standard deviation of 1.4 hours per week, ...Given the following observations in a simple random sample from a population that is approximately normally distributed, construct and interpret the 95% and 99% confidence intervals for the mean:Post your question