Find the z * -value based on a standard normal distribution for an 80% confidence interval for a proportion.

Question

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Answer 1

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 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

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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 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

Answer 6

Chapter 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

Answer 7

Chapter 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

Answer 8

a.

Expert Solution

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.800.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

Answer 13

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

Answer 14

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

Answer 15

b.

Expert Solution

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.840.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

Answer 20

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

Answer 21

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

Answer 22

c.

Expert Solution

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click on the 0.950. In custom proportion, enter 0.920.
Click Ok.

Output obtained using StatKey is as follows:

Statistics, Binder Ready Version: Unlocking the Power of Data, Chapter 5.2, Problem 34E , additional homework tip 3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

Answer 27

Ch. 5.1 - In Exercises 5.1 to 5.6, find the given area in a...Ch. 5.1 - Prob. 2E Ch. 5.1 - In Exercises 5.1 to 5.6, find the given area in a...Ch. 5.1 - Prob. 4E Ch. 5.1 - In Exercises 5.1 to 5.6, find the given area in a...Ch. 5.1 - Prob. 6E Ch. 5.1 - Exercises 5.7 to 5.12 include a set of hypotheses,...Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Exercises 5.7 to 5.12 include a set of hypotheses,...

Find the z * -value based on a standard normal distribution for an 80% confidence interval for a proportion.

Concept explainers

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Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

Answer to Problem 34E

Explanation of Solution

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

Answer to Problem 34E

Explanation of Solution

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

Answer to Problem 34E

Explanation of Solution

Want to see more full solutions like this?

Chapter 5 Solutions