Explain whether it is appropriate to use normal distribution to approximate the distribution of p ^ 1 − p ^ 2 .

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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 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 90% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

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Given the following sample data values: 7, 12, 15, 9, 15, 13, 12, 10, 18,12 Find the following: a) Σ x= b) x² = c) x = n d) Median = e) Midrange x = (Enter a whole number) (Enter a whole number) (use one decimal place accuracy) (use one decimal place accuracy) (use one decimal place accuracy) f) the range= g) the variance, s² (Enter a whole number) f) Standard Deviation, s = (use one decimal place accuracy) Use the formula s² ·Σx² -(x)² n(n-1) nΣ x²-(x)² 2 Use the formula s = n(n-1) (use one decimal place accuracy)

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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 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 90% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

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 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 90% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

Expert Solution & Answer

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Check out a sample textbook solution

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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 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 90% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

Expert Solution & Answer

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Answer 5

Chapter 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

(b)

To determine

Find the 90% confidence interval for p1−p2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

Answer 6

Chapter 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Answer 7

Chapter 7.4, Problem 18P

(a)

To determine

Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Answer 8

(b)

To determine

Find the 90% confidence interval for p1−p2.

Answer 9

(b)

To determine

Find the 90% confidence interval for p1−p2.

Answer 10

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

Answer 11

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Compare the proportion of married couples with three personality preferences in common and proportion of couples with two preferences in common at 90% level of confidence.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Explain whether it is appropriate to use normal distribution to approximate the distribution of p ^ 1 − p ^ 2 .

Solution Summary: The author explains whether it is appropriate to use normal distribution to approximate the distribution of stackrelp_1.

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Explain whether it is appropriate to use normal distribution to approximate the distribution of p^1−p^2.

Find the 90% confidence interval for p1−p2.

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