AnswersAlgebra IIStatistics and Probability

Statistics and Probability — Test Answers

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Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

A
cap e times evens will be more because the value of the even numbers on the dice are more. Therefore, Jessica should play evens.
B
cap e times odds will be more because the probability for each odd number being rolled is greater. Therefore, Jessica should play odds.
C
cap e times evens will be more because there are more even numbers that result from rolling two dice. Therefore, Jessica should play evens.
D
cap e times evens is equal to cap e times odds because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
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When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

A
The 68 percent confidence interval is wider than the 90 percent confidence interval.
B
The 99 percent confidence interval is narrower than the 68 percent confidence interval.
C
The 90 percent confidence interval is wider than the 99 percent confidence interval.
D
The 90 percent confidence interval is narrower than the 95 percent confidence interval.
11

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?

A
Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
B
The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.
C
The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.
D
Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
14

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 2005 have a greater spread than the game scores of season 2006.
C
The game scores of season 2007 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 2005.
16

A convenience sample differs from a voluntary sample in that

A
convenience sampling is a method of random sampling, and a voluntary sample is not.
B
convenience sampling is not a probability-based method, and voluntary sampling is.
C
convenience samples survey each participant once, and voluntary samples survey each participant numerous times.
D
a convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.
18

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

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