Part 1 of 9 –

Question 1 of 25 1.0 Points

Gender and State are examples of which type of data?

A.Categorical data

B.Continuous data

C.Discrete data

D.Ordinal data

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Part 2 of 9 –

Question 2 of 25 1.0 Points

If two events are mutually exclusive, what is the probability that both occur at the same time?

A.1.00

B.Cannot be determined from the information given.

C.0.50

D.0.00

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Question 3 of 25 1.0 Points

If the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is:

A.0.38

B.-0.38

C.0.62

D.1.38

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Part 3 of 9 –

Question 4 of 25 1.0 Points

Find the variance of the following probability distribution.

X P(X)

1 0.10

2 0.35

3 0.10

4 0.15

5 0.30

A.1.44

B.2.06

C.1.76

D.1.2

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Question 5 of 25 1.0 Points

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x 0 1 2 3 4 5

P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10

What is the variance of X?

A.2.50

B.2.34

C.4.32

D.3.42

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Question 6 of 25 1.0 Points

The probability distribution associated with the number of cartoons watched by Mrs. Kelly’s first grade class on Saturday morning is shown below.

x P(x)

0 0.15

1 0.20

2 0.30

3 0.10

4 0.20

5 0.05

Find the standard deviation for the probability distribution above.

A.1.46

B.2.25

C.1.89

D.1.18

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Part 4 of 9 –

Question 7 of 25 1.0 Points

The standard deviation of is usually called the

A.randomized standard error

B.standard error of the population

C.standard error of the mean

D.standard error of the sample

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Question 8 of 25 1.0 Points

If Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50?

A.0.0668

B.0.0968

C.0.8364

D.0.0300

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Question 9 of 25 1.0 Points

Given that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is

A.0.9332

B.0.7745

C.0.0919

D.0.8413

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Question 10 of 25 1.0 Points

If Z is a standard normal random variable, then the value z for which P(-z < Z < z) equals 0.8764 is

A.3.08

B.0.3764

C.1.16

D.1.54

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Question 11 of 25 1.0 Points

The mean of a probability distribution is a:

A.measure of central location

B.measure of variability of the distribution

C.measure of skewness of the distribution

D.measure of relative likelihood

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Question 12 of 25 1.0 Points

The standard deviation of a probability distribution is a:

A.measure of variability of the distribution

B.measure of central location

C.measure of skewness of the distribution

D.measure of relative likelihood

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Part 5 of 9 –

Question 13 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.

Part 6 of 9 –

Question 14 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

Number of Products Purchased

Brands Purchased Fewer Same More Total

Same 10 14 24 48

Changed 262 82 8 352

Total 272 96 32 400

What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank.

Question 15 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below.

Economy State Probability StockA StockB

Good 0.5 40 20

Average 0.3 20 40

Bad 0.2 10 8

If one invested in StockA, what would be the expected annual percentage return? Place your answer, in percent, in the blank. For example, an expected 10 percent return would be recorded as 10. Do not use a percent sign.

Part 7 of 9 –

Question 16 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry.

Question 17 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The Big Triple at the local racetrack consists of picking the correct order of finish of the first three horses in the ninth race. If there are 12 horses entered in today’s ninth race, how many Big Triple outcomes are possible? Place your answer, as a whole number—no decimal places—in the blank. For example 667 would be a legitimate entry.

Part 8 of 9 –

Question 18 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the standard deviation of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 7 would be a legitimate entry.

Question 19 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the probability that the mean of the sample is greater than $460. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate answer.

Question 20 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate entry.

Question 21 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What are the two dollar amounts, equidistant from the mean of $30, such that 90% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry.

Lower value

Upper value

Question 22 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.

What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry.

Question 23 of 25 1.0 Points

Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find the mean of the sampling distribution of the means of average weekly earnings for samples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 123 would be a legitimate entry.

Part 9 of 9 –

Question 24 of 25 1.0 Points

Using the standard normal curve, the Z- score representing the 75th percentile is approximately 0.674. True

False

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Question 25 of 25 1.0 Points

If Z is a standard normal variable, then P(Z = 1) = 0.3413. True

False

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