Question

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury....

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. Historical data reveal a standard deviation of 0.18 mg, based upon years of production records. A random sample of 24 bulbs has a mean of 3.62 mg of mercury. If we give the benefit of the doubt to GreenBeam: (a) test whether or not we should believe the manufacturer’s claim. Use a 1% significance level. (b) Find the p-value for this test. ( I understand A just need "part b")

Homework Answers

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   3.50

Ha : > 3.50

= 3.62

= 3.50

s = 0.18

n = 24.

Df = n - 1 = 24 - 1 = 23

Test statistic = t

= ( - ) / s / n

= (3.62 - 3.50) / 0.18 / 24

= 3.27

Test statistic = 3.27

Using t table,

P-value = 0.0017

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