(ANSWER) MATH 225N WEEK 5 ASSIGNMENT: UNDERSTANDING NORMAL DISTRIBUTION - Essay Prowess

(ANSWER) MATH 225N WEEK 5 ASSIGNMENT: UNDERSTANDING NORMAL DISTRIBUTION

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Question 1
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

 

Question 2
Suppose X∼N(13.5,1.5), and x=9. Find and interpret the z-score of the standardized normal random variable.
________________________________________
Provide your answer below:
________________________________________

The z -score when x=9 is——. The mean is ——

This z -score tells you that x=9——- is —— standard deviations to the left of the mean

quiz 3

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).
This $z$z -score tells you that $x=34$x=34 is —-$$ standard deviations to the right of the mean.

quiz 4

 

Question

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

Three normal distribution curves.

Question

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

Two normal distribution curves.

Question

The graph below shows the graphs of several normal distributions, labeled AB, and C, on the same axis. Determine which normal distribution has the smallest standard deviation.

Three normal distribution curves.

Question

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

Two normal curves.

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 XN(152,14.5).

If necessary, round to three decimal places.

Question

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

Question

Gail averages 64 words per minute on a typing test with a standard deviation of 9.5 words per minute. Suppose Gail’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then XN(64,9.5).

If necessary, round to three decimal places.

Question

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

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