The mean and the standard deviation of the distribution p ^ 1 − p ^ 2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

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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 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

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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 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

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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 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

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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 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

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Answer 5

Chapter 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

Answer 6

Chapter 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

Answer 7

Chapter 8.2, Problem 68E

(a)

To determine

To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

Answer 8

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

Answer 9

(b)

To determine

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

Answer 10

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

Answer 11

(c)

To determine

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 8.1 - Prob. 1UYK Ch. 8.1 - Prob. 2UYK Ch. 8.1 - Prob. 3UYK Ch. 8.1 - Prob. 4UYK Ch. 8.1 - Prob. 5UYK Ch. 8.1 - Prob. 6UYK Ch. 8.1 - Prob. 7UYK Ch. 8.1 - Prob. 8UYK Ch. 8.1 - Prob. 9UYK Ch. 8.1 - Prob. 10UYK

The mean and the standard deviation of the distribution p ^ 1 − p ^ 2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

Solution Summary: The author calculates the mean and standard deviation of the distribution using the below mentioned formula.

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To find: The mean and the standard deviation of the distribution p^1−p^2 where the true proportion of successes for the first population is 0.3 and for the second population is 0.5 and taking 40 independent sample from the first population and 60 from the second.

To graph: The normal distribution of p^1−p^2 with mean −0.2 and standard deviation 0.09704 and mark the location of mean in the sketch.

To find: The value of d for which the probability is 0.95 where the sample proportion should be in the limit ±d . And mark d in the sketch of normal distribution of p^1−p^2.

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