GreenBeam Ltd, claims that its compact fluorescent bulbs average no more than 3.45mg of mercury. A sample of 55 bulbs shows a mean of 3.57mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. H0:3.45mg vs. H1:3.45mg c. H0:=3.45mg vs. H1:=3.45mg (b) Assuming a known standard deviation of 0.26mg, calculate the z test statistic to test the manufcturer's claim. (Round your answer to 2 decimal places.) (c) At the 2 percent level of significance (a=.02) 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