Apu math 302 midterm exam latest

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Question 1 of 25

1.0/ 1.0 Points

If you classified the fruit in a basket as apple, orange, or banana, this would be an example of which level of measurement?

A.interval B.ordinal C.ratio D.nominal Part 2 of 9 -

2.0/ 2.0 Points

Question 2 of 25

1.0/ 1.0 Points

If two events are mutually exclusive, what is the probability that one or the other occurs?

A.0.25 B.Cannot be determined from the information given. C.0.50 D.1.00 Question 3 of 25

1.0/ 1.0 Points

The staff at a small company includes: 4 secretaries, 20 technicians, 4


engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker?

A.5/8 B.2/5 C.1/8 D.1/4 An Part 3 of 9 -

2.0/ 3.0 Points

Question 4 of 25

1.0/ 1.0 Points

A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.

A.60 B.50 C.7.1 D.5.9 A Question 5 of 25

1.0/ 1.0 Points

A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because...

A....the students who strongly supported the change and those who only mildly supported the change are counted the same. B....less than half of the students supported the change. C.30 students are not enough for a good sample D....there are 3 possible outcomes, not 2. Question 6 of 25

0.0/ 1.0 Points

Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that greater than 30 batteries will last at least 8 hours?

A.0.0848 B.0.9152 C.0.8594 D.0.9522 Part 4 of 9 -

5.0/ 6.0 Points


Question 7 of 25

1.0/ 1.0 Points

One reason for standardizing random variables is to measure variables with:

A.different means and standard deviations on a non-standard scale B.similar means and standard deviations on two scales C.dissimilar means and similar standard deviations in like terms D.different means and standard deviations on a single scale Answe Question 8 of 25

1.0/ 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.1.54 C.0.3764 D.1.16 Question 9 of 25

1.0/ 1.0 Points

In a normal distribution, changing the standard deviation:

A.splits the distribution to two curves B.shifts the curve left or right C.makes the curve more robust D.makes the curve more or less spread out

Question 10 of 25

1.0/ 1.0 Points

Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is

A.0.1498 B.0.5328 C.0.3413 D.0.1915

Question 11 of 25

1.0/ 1.0 Points

The continuous distribution characterized by a symmetric, bell-shaped curve is the:


A.Poisson distribution B.binomial distribution C.normal distribution D.exponential distribution Question 12 of 25

0.0/ 1.0 Points

The standard deviation of a probability distribution is a:

A.measure of skewness of the distribution B.measure of variability of the distribution C.measure of relative likelihood D.measure of central location A Part 5 of 9 -

1.0/ 1.0 Points

Question 13 of 25

1.0/ 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. A statistics professor has just given a final examination in his statistical inference course. He is particularly interested in learning how his class of 40 students performed on this exam. The scores are shown below. 77 83 90 82

81 84 85 78

74 81 92 86

77 73 84 86

79 75 81 82

73 91 64 70

80 76 75 76

85 77 90 78

86 95 78 72

73 76 78 93

What is the mean score on this exam? Place your answer, rounded to two decimal places in the blank. For example, 65.78 would be a legitimate entry. 80.40 Part 6 of 9 1.0/ 2.0 Points Question 14 of 25

0.0/ 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 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 P (X=x)

0 0.55

1 0.15

2 0.10

3 0.10

4 0.04

5 0.03

6 0.03

Find P(1 < X < 5). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. 1.14 Question 15 of 25

1.0/ 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. Brands Purchased Same Changed Total

Number of Products Purchased Fewer Same More 10 14 24 262 82 8 272 96 32

Total 48 352 400

What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. 0.6800 Answer Part 7 of 9 -

2.0/ 2.0 Points

Part 8 of 9 -

4.0/ 6.0 Points

Question 18 of 25

1.0/ 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. Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam. What score represents the 70th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry. 73 Answer Key: Question 19 of 25

1.0/ 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. 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. 0.0228 Question 20 of 25

1.0/ 1.0 Points

1.0/ 1.0 Points

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