apu math302 midterm exam done on april 2015

| September 29, 2018

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

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

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?
In 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

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 In D.measure of central location 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 81 74 77 79 73 80 85 86 73 83 84 81 73 75 91 76 77 95 76 90 85 92 84 81 64 75 90 78 78 82 78 86 86 82 70 76 78 72 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 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 0 1 2 3 4 5 6 P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 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 Answer Key: 0.24 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. 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 fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. 0.6800 Question 16 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 a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that only one of the questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry. 0.42 Question 17 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. If you have six books, but there is room for only four books on the shelf, in how many ways can these books be arranged on the shelf? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. 360 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 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 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 probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.2345 would be a legitimate entry. .1587 Question 21 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 a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Place your answer, rounded to four decimal places, in the blank. 0.2468 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Question 22 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. A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30. How many chicken sandwiches must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 140 Question 23 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. 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. 5 Part 9 of 9 - 1.0/ 2.0 Points Question 24 of 25 0.0/ 1.0 Points A random variable X is normally distributed with a mean of 100 and a variance of 25. Given that X = 110, its corresponding Z- score is 0.40. In True False Question 25 of 25 1.0/ 1.0 Points If Z is a standard normal variable, then P(Z = 1) = 0.3413. True False

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