Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions. Check the assumption using normal probability plot.

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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 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

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To evaluate the success of a 1-year experimental program designed to increase the mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s statewide average of 525 for underprivileged seniors. The researchers want to determine whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.

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 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

Expert Solution & Answer

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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 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

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 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

Expert Solution & Answer

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Answer 5

Chapter 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

Answer 6

Chapter 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

Answer 7

Chapter 10, Problem 95SE

a.

To determine

Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

Answer 8

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

Answer 9

b.

To determine

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

Answer 10

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

Answer 11

c.

To determine

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

Answer 12

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

Answer 13

d.

To determine

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

Answer 14

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

Answer 15

e.

To determine

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

Answer 16

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Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

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Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions. Check the assumption using normal probability plot.

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Explain the assumptions that are needed to construct confidence intervals for the difference in mean failure stress under two different test conditions.

Check the assumption using normal probability plot.

Obtain a 99% confidence interval on the difference in mean failure stress under the two different test conditions.

Explain whether there is evidence support the claim that the first test conditions yield higher results, on the average, than the second using confidence interval.

Obtain a 95% confidence bound on the ratio of the variances, σ12σ22, of failure stress under two different test conditions.

Explain whether there is significant difference in the variances of the two different test conditions using the answer in part (d).

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