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 GreenBeams claim as the null hypothesis about the mean. a. H0: 3.66 mg vs. H1: < 3.66 mg b. H0: 3.66 mg vs. H1: > 3.66 mg c. H0: = 3.66 mg vs. H1: 3.66 mg a b c (b) Assuming a known standard deviation of 0.26 mg, calculate the z test statistic to test the manufacturers claim. (Round your answer to 2 decimal places.) Test statistic 2.32 (c) At the 10 percent level of significance ( = 0.1) does the sample exceed the manufacturers claim? Yes No (d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) p-value