**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.

**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 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.

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**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?

**Answer: 107**

# 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?

** Answer:68**

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