Find the mean and standard deviation of the sampling distribution x ¯ .

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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 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

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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 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Expert Solution & Answer

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Check out a sample textbook solution

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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 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

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 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Expert Solution & Answer

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Answer 5

Chapter 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Answer 6

Chapter 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

Answer 7

Chapter 6.3, Problem 38ACB

a.

To determine

Find the mean and standard deviation of the sampling distribution x¯.

Answer 8

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

Answer 9

b.

To determine

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

Answer 10

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

Answer 11

c.

To determine

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

Answer 12

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Answer 13

d.

To determine

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 6.1 - What is the difference between a population...Ch. 6.1 - What is a sampling distribution of a sample...Ch. 6.1 - 5.1 The probability distribution shown here...Ch. 6.1 - 5.3 Consider the population described by the...Ch. 6.1 - Refer to Exercise 6.5 and find E(x) = μ. Then use...Ch. 6.1 - Refer to Exercise 6.5. Assume that a random sample...Ch. 6.1 - In Example 6.3, we used the computer to generate...Ch. 6.2 - What is a point estimator of a population...Ch. 6.2 - What is the difference between a biased and...Ch. 6.2 - What is the MVUE for a parameter?

Find the mean and standard deviation of the sampling distribution x ¯ .

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Find the mean and standard deviation of the sampling distribution x¯.

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

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Chapter 6 Solutions

Find the mean and standard deviation of the sampling distribution x ¯ .

Concept explainers

Videos

Find the mean and standard deviation of the sampling distribution x¯.

Find the approximate probability of the sample that has a mean fuel cost between $3.65 and $3.67.

Find the approximate probability when the sample has a mean fuel cost that exceeds $3.67.

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200. Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.

Want to see the full answer?

Chapter 6 Solutions

Explain how the sampling distribution of x¯ changes if the sample size is doubled from 100 to 200.

Explain how the answers in Part (b) and Part (c) change when the sample size is doubled.