Greenbeam ltd. claims that its compact fluorescent bulbs average no more than 3.55 mg of mercury. a sample of 40 bulbs shows a mean of 3.62 mg of mercury.
(a)
state 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 0.23 mg, calculate the z test statistic to test the manufacturer's claim. (round your answer to 2 decimal places.)
(c)
at the 1 percent level of significance (α = 0.01) does the sample exceed the manufacturer’s claim?
(d)
find the p-value. (round your answer to 4 decimal places.)