Question: 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

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) Write the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean.
(b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim.
(c) At the 1 percent level of significance (α = .01) does the sample exceed the manufacturer's claim?
(d) Find the p-value.

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