GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.

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 3.75 mg of mercury.

State the hypotheses for a right-tailed test, using GreenBeam’s claim as the null hypothesis about the mean.

Assuming a known standard deviation of 0.26 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places.)

Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)

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.

Explanation / Answer

a) Option B

b)

Z = (3.75 - 3.66 ) / (0.26/SQRT(45)) = 2.32

c)

Z(@ 10% significnce) = 2.33

And 2.32 < 2.33

Accept Null hypothesis

No

d)

P-value = 1 - NORMSDIST(2.32) = 0.0101

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