# Question: In a recent year the U S Mint in Denver manufactured

In a recent year, the U.S. Mint in Denver manufactured 270 million quarters. Assume that on each day of production, a sample of 50 quarters is randomly selected, and the mean weight is obtained.

a. Given that the population of quarters has a mean weight of 5.67 g, what do you know about the mean of the sample means?

b. What do you know about the shape of the distribution of the sample means?

c. The population of quarters has a mean of 5.67 g, but the weights of individual quarters vary. For each sample of 50 quarters, consider the proportion of quarters that weigh less than 5.67 g.

What do you know about the shape of the distribution of the sample proportions?

a. Given that the population of quarters has a mean weight of 5.67 g, what do you know about the mean of the sample means?

b. What do you know about the shape of the distribution of the sample means?

c. The population of quarters has a mean of 5.67 g, but the weights of individual quarters vary. For each sample of 50 quarters, consider the proportion of quarters that weigh less than 5.67 g.

What do you know about the shape of the distribution of the sample proportions?

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

In a recent year, the U.S. Mint in Denver manufactured 270 million quarters. As part of the mint’s quality control program, samples of quarters are randomly selected each day for detailed inspection to confirm that they ...a. For the population, find the proportion of odd numbers. b. Table describes the sampling distribution of the sample mean. Construct a similar table representing the sampling distribution of the sample proportion of odd ...Because they enable efficient procedures for evaluating answers, multiple-choice questions are commonly used on standardized tests, such as the SAT or ACT. Such questions typically have five choices, one of which is correct. ...a. If 1 adult female is randomly selected, find the probability that her overhead reach is less than 196.9 cm. b. If 36 adult females are randomly selected, find the probability that they have a mean overhead reach less than ...Passengers died when a water taxi sank in Baltimore’s Inner Harbor. Men are typically heavier than women and children, so when loading a water taxi, assume a worst-case scenario in which all passengers are men. Assume that ...Post your question