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Ch. 8 Sampling Distributions
8.1 Distribution of the Sample Mean
1 Understand the Concept of a Sampling Distribution
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) The ages of five randomly chose cars in the parking lot are determined to be 7, 9, 3,4, and 6 years old. If we
consider this sample of 5 in groups of 3, how many groups can be formed?
A) 10
B) 5
C) 30
D) 60
2) The ages of five randomly chosen cars in the parking lot are determined to be 7, 9, 3, 4, and 6 years old. If we
consider this sample of 5 in groups of 3, what is the probability of selecting a group that has an average age of
6
2
3
years?
A) 1/10
B) 2/10
C) 3/10
D) 4/10
3) The ages of five randomly chosen cars in the parking lot are determined to be 7, 9, 3, 4, and 6 years old. If we
consider this sample of 5 in groups of 3, what is the probability of the true mean falling between 5.5 and 6.5
years?
A) 0.5
B) 0.4
C) 0.55
D) 0.6
4) The ages of five randomly chosen cars in the parking lot are determined to be 7, 9, 3, 4, and 6 years old. If we
consider this sample of 5 in groups of 3, what is the probability of the true mean being more than 6 years?
A) 0.4
B) 0.5
C) 0.1
D) 0.6
5) John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3
bills at a time how many, how many groups can be formed?
A) 20
B) 10
C) 30
D) 15
6) John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3
bills at a time what is the probability of selecting a group that has an average value of at least $26?
A) 0.55
B) 0.50
C) 0.60
D) 0.45
7) John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3
bills at a time what is the probability of selecting a group that has an average value of between $40 and $45?
A) 0.15
B) 0.05
C) 0.25
D) 0.20
8) John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3
bills at a time what is the probability of selecting a group that has an average value of equal to or less than $25?
A) 0.45
B) 0.86
C) 0.50
D) 0.35
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View Full Document2 Describe the Distribution of the Sample Mean for Samples Obtained from Normal Populations
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) The amount of money collected by a snack bar at a large university has been recorded daily for the past five
years. Records indicate that the mean daily amount collected is $2800 and the standard deviation is $500. The
distribution is skewed to the right due to several high volume days (including football game days). Suppose
that 100 days were randomly selected from the five years and the average amount collected from those days
was recorded. Which of the following describes the sampling distribution of the sample mean?
A) normally distributed with a mean of $2800 and a standard deviation of $50
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 Spring '10
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