AnswersAlgebra IIStatistics and Probability

Statistics and Probability — Test Answers

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1
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Which statement must be true?

A
Each distribution has a different mean and a different standard deviation.
B
Each distribution has the same mean and a different standard deviation.
C
Each distribution has a different mean and the same standard deviation.
D
Each distribution has the same mean and the same standard deviation.
2
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Which statement is true about the data set?

A
The value of the first quartile is 13.
B
The data is symmetric.
C
Its median is greater than its mode.
D
It has a range of 52 pages.
7

Glenda checks the computer monitors made at her company for defects. It has been shown that 0 point 5 percent of the monitors are defective. She decides to check several monitors and record if they are defective. Which of the following will make this process into a binomial experiment?

A
Glenda checks the monitors until she has 300 non-defective monitors.
B
Glenda checks 300 monitors and records the number that are defective until she gets greater than 0 point 5 percent defective monitors.
C
Glenda chooses to check 300 monitors.
D
Glenda checks the monitors until she has 300 defective monitors.
9

Which of the following is a valid probability distribution?

A
Image with description The bar graph is titled Probability Distribution A. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 6 bars on the graph, and all the bars have a uniform height of 0 point 2.
B
Image with description The bar graph is titled Probability Distribution D. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 6 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at 1 and its height is 0 point 2, the second bar is at 2 and its height is 0 point 1, the 3rd bar is at 3 and its height is 0 point 1, the 4th bar is at 4 and its height is 0 point 5, and the 5th bar is at 6 and its height is 0 point 1.
C
Image with description The bar graph is titled Probability Distribution B. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 4 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 6 bars on the graph. The first bar is at 1 and its height is 0 point 1, the second bar is at 2 and its height is 0 point 2, the 3rd bar is at 3 and its height is 0 point 3, the 4th bar is at 4 and its height is 0 point 3, the 5th bar is at 5 and its height is 0 point 2, and the 6th bar is at 6 and its height is 0 point 1.
D
Image with description The bar graph is titled Probability Distribution C. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 5 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at 1 and its height is 0 point 1, the second bar is at 2 and its height is 0 point 2, the 3rd bar is at 3 and its height is 0 point 4, the 4th bar is at 5 and its height is 0 point 1, and the 5th bar is at 6 and its height is 0 point 1.
15

Which normal distribution has the greatest standard deviation?

A
Image with description A normal distribution is shown on x-axis with markings from 16 to 56 in increments of 8. The curve has a peak at 32 and hits the axis at 28 and 38.
B
Image with description A normal distribution is shown on x-axis with markings from 40 to 80 in increments of 8. The curve has a peak at 60 and hits the x-axis at 48 and 72.
C
Image with description A normal distribution is shown on x-axis with markings from 80 to 120 in increments of 8. The curve has a peak at 96 and hits the x-axis at 75 and 115.
D
Image with description A normal distribution is shown on x-axis with markings from negative 8 to 40 in increments of 8. The curve has a peak at 16.
16

The mean test scores with standard deviations of four English classes are given. Class Mean Standard Deviation Mrs. Jones 89 1 point 9 Mrs. Rijo 82 1 point 4 Mr. Phan 73 3 point 4 Mrs. Scott 90 6 point 1 Which statement is most likely to be true?

A
The scores of Mrs. Rijo’s class are the closest to the class mean.
B
The scores of Mrs. Jones’s class are the closest to the class mean.
C
The scores of Mr. Phan’s class are the closest to the class mean.
D
The scores of Mrs. Scott’s class are the closest to the class mean.
19

The mean game scores and standard deviations of four seasons of a football team are given. Season Mean Standard Deviation 2005 19 3 point 5 2006 21 2 point 8 2007 12 1 point 0 2008 9 4 point 0 Which statement must be true?

A
The game scores of season 2005 have a greater spread than the game scores of season 2006.
B
The game scores of season 2007 have a greater spread than the game scores of season 2005.
C
The game scores of season 2006 have a greater spread than the game scores of season 2005.
D
The game scores of season 2006 have a greater spread than the game scores of season 2008.

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