Question: 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

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

(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

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