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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.66 mg of mercury. A sample of 45 bulbs shows a mean of 3.75 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam’s claim as the null hypothesis about the mean. a. H0: μ ≥ 3.66 mg vs. H1: μ < 3.66 mg b. H0: μ ≤ 3.66 mg vs. H1: μ > 3.66 mg c. H0: μ = 3.66 mg vs. H1: μ ≠ 3.66 mg a b c (b) Assuming a known standard deviation of 0.26 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places.) Test statistic 2.32 (c) At the 10 percent level of significance (α = 0.1) does the sample exceed the manufacturer’s claim? Yes No (d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) p-value
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