The sample size needed to claim that the distribution of sample means x ¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

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Question 2 The data below provides the battery life of thirty eight (38) motorcycle batteries. 100 83 83 105 110 81 114 99 101 105 78 115 74 96 106 89 94 81 106 91 93 86 79 103 94 108 113 100 117 120 77 93 93 85 76 89 78 88 680 a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of significance. b. Determine if the mean battery life is different from 80. Use the 10% level of significance. Show all steps for the hypothesis test c. Would your conlcusion in part (b) change at the 5% level of significance? | d. Confirm test results in part (b) using JASP. Note: All JASP input files and output tables should be provided

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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 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

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Question 2 The data below provides the battery life of thirty eight (38) motorcycle batteries. 100 83 83 105 110 81 114 99 101 105 78 115 74 96 106 89 94 81 106 91 93 86 79 103 94 108 113 100 117 120 77 93 93 85 76 89 78 88 680 a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of significance. b. Determine if the mean battery life is different from 80. Use the 10% level of significance. Show all steps for the hypothesis test c. Would your conlcusion in part (b) change at the 5% level of significance? | d. Confirm test results in part (b) using JASP. Note: All JASP input files and output tables should be provided

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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 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

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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 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

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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 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

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Answer 5

Chapter 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

Answer 6

Chapter 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

Answer 7

Chapter 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

Answer 8

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

Answer 9

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

Answer 10

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The sample size needed to claim that the distribution of sample means x ¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

Solution Summary: The author explains that if the sample size is greater than n=30, then e would be assured that the distribution of sample is approximately normal.

The sample size needed to claim that the distribution of sample means x¯ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x¯ taken from random samples of a given size is normal.

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