Explain whether p ^ based on a random sample of only 10 people from the population will have approximately normal distribution .

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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 8.3, Problem 28E

a.

To determine

Explain whether p^ based on a random sample of only 10 people from the population will have approximately normal distribution.

b.

To determine

Find the mean and standard deviation of p^ based on a random sample of size 400.

c.

To determine

Compute P(0.25≤p^≤0.35) for sample size 400.

d.

To determine

Explain whether the answer obtained in Part (c) is larger or smaller if the sample size is 500.

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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 8.3, Problem 28E

a.

To determine

Explain whether p^ based on a random sample of only 10 people from the population will have approximately normal distribution.

b.

To determine

Find the mean and standard deviation of p^ based on a random sample of size 400.

c.

To determine

Compute P(0.25≤p^≤0.35) for sample size 400.

d.

To determine

Explain whether the answer obtained in Part (c) is larger or smaller if the sample size is 500.

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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 8.3, Problem 28E

a.

To determine

Explain whether p^ based on a random sample of only 10 people from the population will have approximately normal distribution.

b.

To determine

Find the mean and standard deviation of p^ based on a random sample of size 400.

c.

To determine

Compute P(0.25≤p^≤0.35) for sample size 400.

d.

To determine

Explain whether the answer obtained in Part (c) is larger or smaller if the sample size is 500.

Expert Solution & Answer

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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 8.3, Problem 28E

a.

To determine