Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie’s points per basketball game are normally distributed. Let X= the number of points per basketball game. Then X∼N(23,4).

Question

Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta’s points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14).

If necessary, round to three decimal places.

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Annie was told that her math test score was 3 standard deviations below the mean. If test scores were approximately normal with μ=99 and σ=4, what was Annie’s score? Do not include units in your answer. For example, if you found that the score was 99 points, you would enter 99.

Question

Alice was told that her reading test score was 2 standard deviations below the mean. If test scores were approximately normal with μ=84 and σ=8, what was Alice’s score?

Question

Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella’s points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(152,14.5).

If necessary, round to three decimal places.

Question

Suppose X∼N(10,0.5), and x=11.5. Find and interpret the z-score of the standardized normal random variable.

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Question

The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the largest mean.

Question

Jamie was told that her reading test score was 1 standard deviation above the mean. If test scores were approximately normal with μ=97 and σ=10, what was Jamie’s score?

Question

Marc’s points per game of bowling are normally distributed with a standard deviation of 13 points. If Marc scores 231 points, and the z-score of this value is 4, then what is his mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 150 points, you would enter 150.

 

 

 

Solution

Question

Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Ans: B has the larger mean.

      A has the larger standard deviation.

Question

Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie’s points per basketball game are normally distributed. Let X= the number of points per basketball game. Then X∼N(23,4).

Ans: Suppose Annie scores 34 points in the game on Sunday. The z-score when x=34 is 2.75.……………..please follow the link below to purchase the solution at $5

 

 

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