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For problem 10, 11, and 12 below: (i) State the requirement (ii) State the null and alternative hypotheses with the correct symbols (iii) Write all the statistics (iv) Write the formula of the test statistic and find the test statistic (you may use a calculator, but you are required to write down the command and all the numbers you enter) (v) Find the critical value or the P-value (you may use a calculator, but you are required to write down the command and all the numbers you enter) (vi) Decide to reject or fail to reject Ho and explain the reason (vii) Wording the conclusion (vii) Answer the question based on your result above 10. Use the P-value method to test the claim that for the adult population of one town, the mean annual salary is $30,000. Sample data are summarized as n = 17, T = $22,300 and s = $14,200. Use a significance level of a = 0.05. Is the assumption correct? 11. A manufacturer uses a new production method to produce steel rods. A sample of 17 steel rods resulted in lengths with a standard deviation of 4.7 cm. At the 0.10 significance level, use the critical value method to test the claim that the new production method has lengths with a standard deviation different from 3.5 cm, which was the standard deviation for the old method. Is it possible to say that the new method produces longer rods? 12. Let the sample size of leg strengths be 7 and the sample mean and sample standard deviation be 315 watts and 16 watts, respectively. (a) Is there evidence that leg strength exceeds 300 watts at significance level 0.05? Find the P-value. (b) Compute the power of the test if the true strength is 305 watts. (c) What sample size would be required to detect a true mean of 305 watts if the power of the test should be at least 0.9?

For problem 10, 11, and 12 below: (i) State the requirement (ii) State the null and alternative hypotheses with the correct symbols (iii) Write all the statistics (iv) Write the formula of the test statistic and find the test statistic (you may use a calculator, but you are required to write down the command and all the numbers you enter) (v) Find the critical value or the P-value (you may use a calculator, but you are required to write down the command and all the numbers you enter) (vi) Decide to reject or fail to reject Ho and explain the reason (vii) Wording the conclusion (vii) Answer the question based on your result above 10. Use the P-value method to test the claim that for the adult population of one town, the mean annual salary is $30,000. Sample data are summarized as n = 17, T = $22,300 and s = $14,200. Use a significance level of a = 0.05. Is the assumption correct? 11. A manufacturer uses a new production method to produce steel rods. A sample of 17 steel rods resulted in lengths with a standard deviation of 4.7 cm. At the 0.10 significance level, use the critical value method to test the claim that the new production method has lengths with a standard deviation different from 3.5 cm, which was the standard deviation for the old method. Is it possible to say that the new method produces longer rods? 12. Let the sample size of leg strengths be 7 and the sample mean and sample standard deviation be 315 watts and 16 watts, respectively. (a) Is there evidence that leg strength exceeds 300 watts at significance level 0.05? Find the P-value. (b) Compute the power of the test if the true strength is 305 watts. (c) What sample size would be required to detect a true mean of 305 watts if the power of the test should be at least 0.9?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.4: Formulas
Problem 74PS
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For problem 10, 11, and 12 below: (i) State the requirement (ii) State the null and alternative hypotheses with the correct symbols (iii) Write all the statistics (iv) Write the formula of the test statistic and find the test statistic (you may use a calculator, but you are required to write down the command and all the numbers you enter) (v) Find the critical value or the P-value (you may use a calculator, but you are required to write down the command and all the numbers you enter) (vi) Decide to reject or fail to reject Ho and explain the reason (vii) Wording the conclusion (viii) Answer the question based on your result above 10. Use the P-value method to test the claim that for the adult population of one town, the mean annual salary is $30,000. Sample data are summarized as n = 17, T = $22,300 and s = $14,200. Use a significance level of a = 0.05. Is the assumption correct? 11. A manufacturer uses a new production method to produce steel rods. A sample of 17 steel rods resulted in lengths with a standard deviation of 4.7 cm. At the 0.10 significance level, use the critical value method to test the claim that the new production method has lengths with a standard deviation different from 3.5 cm, which was the standard deviation for the old method. Is it possible to say that the new method produces longer rods? 12. Let the sample size of leg strengths be 7 and the sample mean and sample standard deviation be 315 watts and 16 watts, respectively. (a) Is there evidence that leg strength exceeds 300 watts at significance level 0.05? Find the P-value. (b) Compute the power of the test if the true strength is 305 watts. (c) What sample size would be required to detect a true mean of 305 watts if the power of the test should be at least 0.9?
Transcribed Image Text:For problem 10, 11, and 12 below: (i) State the requirement (ii) State the null and alternative hypotheses with the correct symbols (iii) Write all the statistics (iv) Write the formula of the test statistic and find the test statistic (you may use a calculator, but you are required to write down the command and all the numbers you enter) (v) Find the critical value or the P-value (you may use a calculator, but you are required to write down the command and all the numbers you enter) (vi) Decide to reject or fail to reject Ho and explain the reason (vii) Wording the conclusion (viii) Answer the question based on your result above 10. Use the P-value method to test the claim that for the adult population of one town, the mean annual salary is $30,000. Sample data are summarized as n = 17, T = $22,300 and s = $14,200. Use a significance level of a = 0.05. Is the assumption correct? 11. A manufacturer uses a new production method to produce steel rods. A sample of 17 steel rods resulted in lengths with a standard deviation of 4.7 cm. At the 0.10 significance level, use the critical value method to test the claim that the new production method has lengths with a standard deviation different from 3.5 cm, which was the standard deviation for the old method. Is it possible to say that the new method produces longer rods? 12. Let the sample size of leg strengths be 7 and the sample mean and sample standard deviation be 315 watts and 16 watts, respectively. (a) Is there evidence that leg strength exceeds 300 watts at significance level 0.05? Find the P-value. (b) Compute the power of the test if the true strength is 305 watts. (c) What sample size would be required to detect a true mean of 305 watts if the power of the test should be at least 0.9?
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