GreenBeam Limited 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. The population distribution is normal. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. Ho: U 2 3.5 mg vs. Hj: p 3.5 mg C. Ho: U = 3.5 mg vs. H1: W # 3.5 mg O 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 (@ = .01) does the sample exceed the manufacturer's claim? O Yes O No (d) Find the p-value. (Round your answer to 4 decimal places.) p-value