Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

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Answer 1

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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.

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

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Answer 2

Question

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.

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

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.

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

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.

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Answer 6

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Answer 7

Chapter 7.8, Problem 98E

a.

To determine

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Answer 8

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

Answer 9

b.

To determine

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

Answer 10

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

Answer 11

c.

To determine

Explain the reason why the probabilities obtained in Part (b) are not equal.

Answer 12

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

Answer 13

d.

To determine

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

Answer 14

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Answer 15

e.

To determine

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

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Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Solution Summary: The author explains that the normal approximation to binomial distribution is applicable for the given situation.

Concept explainers

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Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)

Explain the reason why the probabilities obtained in Part (b) are not equal.

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Want to see the full answer?

Chapter 7 Solutions

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Solution Summary: The author explains that the normal approximation to binomial distribution is applicable for the given situation.

Concept explainers

Videos

Check whether it is appropriate to use normal approximation to binomial distribution for the given situation.

Approximate the below probabilities: i. P(x=42) ii. P(x<42) iii. P(x≤42)

Explain the reason why the probabilities obtained in Part (b) are not equal.

Explain the reason to use binomial formula instead of using normal approximation to obtain the required probability.

Explain the reason why the authors of the study propose that someone who scores 42 or less on the MENT exam is faking the test.

Want to see the full answer?

Chapter 7 Solutions

Approximate the below probabilities:

i. P(x=42)

ii. P(x<42)

iii. P(x≤42)