1.
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Question 1
Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's?
(Note: This question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation).
Set A: XXXXXXXXXX
Set B: XXXXXXXXXX
A. Large
B. Not enough information provided to tell
C. Smalle
D. About the same
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Question 2
What is the average of the following numbers?
2, 5, 8, 1
A. 3
B. 5
C. 4.5
D. 4
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Question 3
What is the median of these figure skating ratings?
XXXXXXXXXX XXXXXXXXXX
A. 6.0
B. 7.14
C. 7.5
D. 3.0
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Question 4
A slot machine has 3 dials. Each dial has 40 positions, two of which are "Jackpot." To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?
A. 1/20 x 1/20 x 1/20=1/8000= XXXXXXXXXX=0.0125%
B. 1/3 x 1/3 x 1/3=1/27=0.037=3.7%
C. 1/40 x 1/40 x 1/40=1/64000= XXXXXXXXXX=0.00156%
D. 3/40 x 3/40 x3/40=9/64000=0.00014=0.014%
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Question 5
Using a standard six-sided die, Janice rolled either a 2 or a 5on the last 6 rolls of the die. What is the probability of Janice rolling a 2or a 5 on her 7th toss of the die?
a. 1/3
. 1/7
c. 1/6
d. 2/7
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C.
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Question 6
A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each attempted field goal is independent. If the kicker made his first two but missed his third attempt and is now trying for his fourth field goal of the game to win in overtime, what is the probability that his team will win the game?
A. 77%
B. 25%
C. 29.29%
D. 19.25%
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Question 7
A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10Â - 0.75, $50 -Â 0.25. Over many weeks, what is a worker's expected weekly bonus?
A. 10 x XXXXXXXXXXx 0.25 = $20Â
B XXXXXXXXXXx (0.75 x 0.25) = $11.5
C. Cannot say as the number of weeks is not provided.
D. 10 x XXXXXXXXXXx 0.75 = $40
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Question 8
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
A. Not earningÂ
B. Definitely earning
C. Guaranteed not to be earning
D. Earning very
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Question 9
A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls. What is the probability of selecting a blue or green ball on the first draw?
A. 1/2
B. 1/10
C. 2/5
D. 9/20
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Question 10
Estimate the average by first rounding to the nearest 100:
120, 230, 455, 175
A. 225
B. 275
C. 250
D XXXXXXXXXX
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Question 11
In any given year, a factory has a 10% probability of having a serious accident. About every how many years might the factory expect to have an accident?
A. About every 15 years
B. About every 10 years
C. About every 5 years
D. About every yea
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Question 12
A lock consists of 4 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?
A. 1/24
B. 1/6
C. 1/1296Â
D. 1/256Bottom of Form
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Question 13
An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
A. The salary differences are statistically significant.
B. With that p value, the differences are very close, but not statistically significant.
C. With that p value, the results are not significant.Â
D. The salary differences are not statistically significant.Bottom of Form
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Question 14
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
11. Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
11. Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)
What is Val’s margin of e
or, rounded to the nearest whole number? (The formula is 1.96 (std dev) /
A. 2.45
B. 1.01
C. 3.92
D. 9.80
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Question 15
A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
A. 240
B. 16! – 4! (Factorials)
C. 16
D. 32Bottom of Form
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Question 16
A medication states that the odds of having an allergic reaction are 2 in 200. What is that probability states as a percent?
A. 1%
B. 2%
C. 5%
D. 4%Bottom of Form
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Question 17
A restaurant will select 1 card from a bowl to win a free lunch. Jimmy puts 10 cards in the bowl. The bowl has a total of 150 cards in it when they do the drawing. What are the odds of Jimmy winning a free lunch?
A. 1/10
B. 3/20
C. 1/150
D. 1/15Bottom of Form
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Question 18
Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?
A. A
B. B
C. Not enough information provided to answer.
D. They will have the same standard deviation.
2. Bottom of Form
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Question 19
How many values are in the range 17 to 118?
A. 67.5
B. 100
C. 102
D. 135
2. Bottom of Form
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Question 20
A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of e
or of about 0.13 degrees C, so that difference should be ignored. What is a strong counter argument?
a. The difference is only 0.4 but that is still a significant change.
. The margin of e
or is quite small compared to the change year over year, so it is a significant issue.Â
c. The margin of e
or is larger than the increase so we should consider it an issue just extra information and thus can be ignored.
d. The change of 0.9 is not a lot and thus should be ignored.
B. Bottom of Form