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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. Ho u 3.5 mg vs. H₁: <3.5 mg b. Ho: 3.5 mg vs. H₁>3.5 mg C. H: -3.5 mg vs. H₁: # 3.5 mg a Ob Oc (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places.) Test statistic

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. Ho u 3.5 mg vs. H₁: <3.5 mg b. Ho: 3.5 mg vs. H₁>3.5 mg C. H: -3.5 mg vs. H₁: # 3.5 mg a Ob Oc (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places.) Test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. He: 23.5 mg vs. H₁: < 3.5 mg b. Ho: > 3.5 mg 3.5 mg vs. H₁: -3.5 mg vs. H₁: c. He: # 3.5 mg a Ob Oc (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places.) Test statistic
Transcribed Image Text:GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. He: 23.5 mg vs. H₁: < 3.5 mg b. Ho: > 3.5 mg 3.5 mg vs. H₁: -3.5 mg vs. H₁: c. He: # 3.5 mg a Ob Oc (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places.) Test statistic
(c) At the 1 percent level of significance (a = .01) does the sample exceed the manufacturer's claim? Yes O No (d) Find the p-value. (Round your answer to 4 decimal places.) p-value
Transcribed Image Text:(c) At the 1 percent level of significance (a = .01) does the sample exceed the manufacturer's claim? Yes O No (d) Find the p-value. (Round your answer to 4 decimal places.) p-value
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