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Multiple Choice Quiz
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Chapter 5 Quiz - Sampling and Sampling Distributions



1

Following is a random sample of the heights of students in a class: 5'3", 5'9", 6'1", 5'8", 5'11", 6'5", 6'2", 5'7", 5'1", 6', 5'6", 5'9". Compute a point estimate of the mean and the standard deviation of the heights of the students.
A)5'9.8", 2.9"
B)5'10.3", 3.44"
C)5'9.8", 2.8"
D)5'10.3", 3.31"
E)none of the above
2

A new shampoo is introduced in the market. The manufacturer interviews 25 different individuals for their opinion. Eighteen individuals like the shampoo. Compute a point estimate for the proportion of the population liking the shampoo.
A)0.36
B)0.72
C)0.28
D)0.56
E)0.64
3

When sampling from a population with a standard deviation of 14, using a sample size of 144, what is the probability that the sample mean will be at least 3 units away from the population mean?
A)0.0051
B)0.0257
C)0.2157
D)0.0102
E)0.0514
4

A particular camera is sold at an average price of $190, with a standard deviation of $12. In a sample of 50 randomly selected stores, what is the probability that the sample mean falls within $4 of the population mean?
A)0.9913
B)0.9825
C)0.9816
D)0.4909
E)0.9818
5

A bank has an average balance of $495 and a standard deviation of $102, in its checking accounts. What is the probability that 36 randomly selected accounts have an average balance greater than $500?
A)0.7718
B)0.1141
C)0.3859
D)0.2282
E)0.6141
6

The average advertising expenditure in the computer industry is found to be $15,000,000 annually, with a standard deviation of $3,000,000. In a sample of 35 companies, what is the probability that the sample mean will exceed 16.5 million?
A)0.4756
B)0.0244
C)0.0015
D)0.0456
E)0.9756
7

Suppose that X is a normal random variable with mean 10 and standard deviation 4. Then the probability that X will be greater than 12 is:
A)0.1587
B)0.3413
C)0.3085
D)0.4772
E)0.1915
8

Suppose that X is a normal random variable with mean 17 and standard deviation 10. The probability that the value of X will be between -2.6 and 36.6 is:
A)0
B)0.99
C)1
D)0.95
E)0.90
9

The average telephone bill in a locality is $70, with a standard deviation of $40. In a sample of 50 randomly selected phone connections, what is the probability that the sample average will exceed $75?
A)0.3106
B)0.8694
C)0.1894
D)0.4483
E)none of the above
10

When the probability that an estimator is close to the parameter it estimates increases as the sample size, n, increases, that estimator is said to be:
A)unbiased
B)biased
C)efficient
D)consistent
E)sufficient
11

A poll of 1,500 registered voters is taken. Of these, 600 say they will vote for candidate Smith. Compute a point estimate for the proportion of the population who will vote for this candidate.
A)0.60
B)0.04
C)0.40
D)0.36
E)none of the above
12

A manufacturer and one of its suppliers are engaged in negotiations regarding the inspection plan for a component the supplier provides. Components will be shipped in very large batches, and random samples of 50 will be drawn for inspection. The manufacturer needs components to have an average length of 68 cm, with a standard deviation of 4 cm. Both manufacturer and supplier have agreed that there should be no more than a 5% chance of rejecting a shipment that conforms to this specification.
R-1 Ref 5-3

Suppose that a particular shipment actually has an average length of 69 cm, with a standard deviation of 16 cm. If the decision rule is to reject the shipment if its sample average is in excess of 71 cm, how likely is it that this shipment will be rejected?

A)0.6700
B)0.4483
C)0.2266
D)0.1894
E)None of the above





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