**Question**

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

**Correct answer:**

**Question**

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

**Question**

Lexie averages 149 points per bowling game with a standard deviation of 14 points. Suppose Lexie’s points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(149,14).

Suppose Lexie scores 186 points in the game on Tuesday. The z-score when x = 186 is….The mean is…..

This z-score tells you that x = 186 is ……standard deviations to the **right **of the mean.

**Question**

Suppose X∼N(12.5,1.5), and x=11. 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**

**Question**

**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).

The z-score can be found using this formula:

**Question**

Suppose X∼N(16.5,0.5), and x=16. Find and interpret the z-score of the standardized normal random variable.

**Question**

John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then X∼N(58,11).

The z-score can be found using this formula:

# Solution:

**Question**

**Correct answer:**

B has the larger mean.

A has the larger standard deviation.

** **

**Question**

**Correct answer:**

B has the larger mean.

B has the larger standard deviation.

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