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A soda company claims there is exacly 12oz of liquid in their cans. To test the...

A soda company claims there is exacly 12oz of liquid in their cans. To test the hypothesis H 0 : μ = 12 versus H 1 : μ ≠ 12 a sample of 36 cans is taken and found to have an average volume of 11.8oz with standard deviation .5. What P-value would you give this claim?

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Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =

Ha :

Test statistic = z

= ( - ) / / n

= (11.8 - 12) / .5 / 36 = -2.4

Test statistic = -2.4

P(z < -2.4) = 0.0082

P-value = 2 * 0.0082 = 0.0164

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