AnswersAdvanced Algebra Concepts and ConnectionsDescriptive and Inferential Statistics

Descriptive and Inferential Statistics — Test Answers

25 verified answers
1
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How do the mean and median change from plot 1 to plot 2?

A
The mean decreases, and the median remains the same.
B
The mean and median remain the same.
C
The mean and median decrease.
D
The mean remains the same, and the median decreases.
2
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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 a different mean and the same standard deviation.
C
Each distribution has the same mean and the same standard deviation.
D
Each distribution has the same mean and a different standard deviation.
3

The table shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, cap x , which graph shows the probability distribution, cap p sub cap x times x , of a randomly chosen house?

A
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 5 in increments of 0 point 0 5 and is labeled as a P subscript x of x. There are 4 bars on the graph. The first bar is at 1 and its height is 0 point 1 6, the second bar is at 2 and its height is 0 point 2 2, the 3rd bar is at 3 and its height is 0 point 2 8, and the 4th bar is at 4 and its height is 0 point 3 3.
B
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and labeled as x. The vertical axis ranges from 0 to 0 point 1 4 with increments of 0 point 0 2 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 6 5, the second bar is located at 2 and its height is 0 point 1, the third bar is located at 3 and its height is 0 point 1 2, and the fourth bar is located at 4 and its height is 0 point 1 3.
C
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and also labeled as x. The vertical axis ranges from 0 to 0 point 4 5 with increments of 0 point 0 5 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 1, the second bar is located at 2 and its height is 0 point 2, the third bar is located at 3 and its height is 0 point 3, and the fourth bar is located at 4 and its height is 0 point 4.
D
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and labeled as x. The vertical axis ranges from 0 to 0 point 3 5 with increments of 0 point 0 5 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 1 5, the second bar is located at 2 and its height is 0 point 2, the third bar is at 3 and its height is 0 point 2 5, and the fourth bar is located at 4 and its height is 0 point 3.
5

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 Mr. Phan’s class are the closest to the class mean.
B
The scores of Mrs. Scott’s class are the closest to the class mean.
C
The scores of Mrs. Rijo’s class are the closest to the class mean.
D
The scores of Mrs. Jones’s class are the closest to the class mean.
6

A convenience sample differs from a voluntary sample in that

A
convenience sampling is not a probability-based method, and voluntary sampling is.
B
a convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.
C
convenience samples survey each participant once, and voluntary samples survey each participant numerous times.
D
convenience sampling is a method of random sampling, and a voluntary sample is not.
9

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 defective monitors.
B
Glenda chooses to check 300 monitors.
C
Glenda checks 300 monitors and records the number that are defective until she gets greater than 0 point 5 percent defective monitors.
D
Glenda checks the monitors until she has 300 non-defective monitors.
11

Which of the following is a valid probability distribution?

A
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.
B
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.
C
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.
D
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.
16

Which normal distribution has the greatest standard deviation?

A
Image with description Number line labeled from 80 to 112 with a bell-shaped curve above it. The curve reaches its highest point near 96 and decreases symmetrically toward both sides, approaching the number line near 80 and 112. The distribution is centered at 96.
B
Image with description Number line labeled from negative 8 to 32. A smooth bell-shaped curve rises from near the number line at the left, reaches a maximum near 16, and then decreases symmetrically toward the right, approaching the number line again near 40. The distribution is centered at 16.
C
Image with description Number line with values from 40 to 80 and a bell-shaped curve above it. The curve reaches its highest point near 60 and decreases symmetrically toward both sides, approaching the horizontal axis near 40 and 80. The graph represents a normal distribution centered at 60.
D
Image with description Number line labeled from 16 to 56 with a narrow bell-shaped curve above it. The curve reaches its highest point near 32 and decreases rapidly on both sides, approaching the number line near 24 and 40. The distribution is symmetric about 32 and has a smaller spread than a typical bell curve.
17

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

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