# (Answered) MATH399N Week 5 Assignment: Parameters of the Normal Distribution

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

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

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

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

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

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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 smallest standard deviation. Question

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

Suppose X∼N(13.5,1.5), and x=9. Find and interpret the z-score of the standardized normal random variable.

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 smallest standard deviation. ### 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 standard deviation. # Solution:

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?