For each of the following situations, state whether the distribution of values is likely to be a normal distribution . Give a brief explanation justifying your choice. a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.) b. Weights of adult male manatees in Florida c. Scores on a test of memory recall

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Answer 1

Textbook Question

Chapter 5, Problem 1CRE

For each of the following situations, state whether the distribution of values is likely to be a normal distribution. Give a brief explanation justifying your choice.

a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.)
b. Weights of adult male manatees in Florida
c. Scores on a test of memory recall

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

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Answer 2

Textbook Question

Chapter 5, Problem 1CRE

For each of the following situations, state whether the distribution of values is likely to be a normal distribution. Give a brief explanation justifying your choice.

a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.)
b. Weights of adult male manatees in Florida
c. Scores on a test of memory recall

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

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Answer 3

Textbook Question

Chapter 5, Problem 1CRE

For each of the following situations, state whether the distribution of values is likely to be a normal distribution. Give a brief explanation justifying your choice.

a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.)
b. Weights of adult male manatees in Florida
c. Scores on a test of memory recall

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

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Answer 4

Textbook Question

Chapter 5, Problem 1CRE

For each of the following situations, state whether the distribution of values is likely to be a normal distribution. Give a brief explanation justifying your choice.

a. Numbers resulting from spins of a roulette wheel. (There are 38 equally likely slots with numbers 0, 00, 1, 2, 3, …, 36.)
b. Weights of adult male manatees in Florida
c. Scores on a test of memory recall

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

Answer 8

a.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Answer 13

Explanation of Solution

The given information is that the numbers are result from the spins of the roulette wheel and all are equally likely to occur.

Here, it is observed that the chance of getting an outcome is equal for all slots. In addition, the shape of the distribution is uniform. Thus, the distribution of values is not likely to be normal distribution.

Answer 14

b.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

Answer 15

b.

Expert Solution

Answer 16

b.

Expert Solution

Answer 17

Expert Solution

Answer 18

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Answer 19

Explanation of Solution

The adult male manatee’s weights in Florida are given.

Here, it is observed that the weights of the adult male are drawn from a homogeneous population. In addition, it is usual that frequency average weight is higher than extreme weights. Thus, the distribution of values is likely to be normal distribution.

Answer 20

c.

Expert Solution

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

Answer 21

c.

Expert Solution

Answer 22

c.

Expert Solution

Answer 23

Expert Solution

Answer 24

To determine

State whether the distribution of values is likely to be normal distribution. Give the explanation for justifying the answer.

Answer 25

Explanation of Solution

The scores in the test of the memory recall are given.

Here, it is observed that the population is homogeneous. . In addition, it is usual that frequency average score is higher than extreme scores. Thus, the distribution of scores is likely to be normal distribution.

Answer 26

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