11) A sample that does not provide a good representation of the population from which it was collect

11) A sample that does not provide a good representation of the population from which it was collected is referred to as a(n) ________ sample.

12) True or False: The Central Limit Theorem is considered powerful in statistics because it works for any population distribution provided the sample size is sufficiently large and the population mean and standard deviation are known.

13) Suppose a sample of n = 50 items is selected from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with μ= 6 ounces and σ = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample size of 15 is selected?

A) The mean of the sampling distribution is 6 ounces.

B) The standard deviation of the sampling distribution is 2.5 ounces.

C) The shape of the sampling distribution is approximately normal.

D) All of the above are correct.

14) The average score of all pro-golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 pro-golfers played the course today. Find the probability that the average score of the 36 pro-golfers exceeded 71.

15) The distribution of the number of loaves of bread sold per week by a large bakery over the past 5 years has a mean of 7,750 and a standard deviation of 145 loaves. Suppose a random sample of n = 40 weeks has been selected. What is the approximate probability that the mean number of loaves sold in the sampled weeks exceeds 7,895 loaves?

16) Sales prices of baseball cards from the 1960s are known to possess a right skewed distribution with a mean sale price of $5.25 and a standard deviation of $2.80. Suppose a random sample of 100 cards from the 1960s is selected. Describe the sampling distribution for the sample mean sale price of the selected cards.

A) right skewed with a mean of $5.25 and a standard error of $2.80

B) normal with a mean of $5.25 and a standard error of $0.28

C) right skewed with a mean of $5.25 and a standard error of $0.28

D) normal with a mean of $5.25 and a standard error of $2.80

17) Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. Suppose a sample of 100 major league players was taken. What was the standard error for the sample mean salary?

A) $0.012 million

B) $0.12 million

C) $12 million

D) $1,200.0 million

18) Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. Suppose a sample of 100 major league players was taken. Find the approximate probability that the mean salary of the 100 players exceeded $3.5 million.

A) approximately 0

B) 0.0228

C) 0.9772

D) approximately 1

19) Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. Suppose a sample of 100 major league players was taken. Find the approximate probability that the mean salary of the 100 players exceeded $4.0 million.

A) approximately 0

B) 0.0228

C) 0.9772

D) approximately 1

20) Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. Suppose a sample of 100 major league players was taken. Find the approximate probability that the mean salary of the 100 players was no more than $3.0 million.