Question

Eric's Easter Eggs manufactures large chocolate eggs. The length of these eggs follows a normal distribution...

Eric's Easter Eggs manufactures large chocolate eggs. The length of these eggs follows a normal distribution with mean = 13 inches and standard deviation = 1.8 inches.

Would it be unusual for the sample mean length of the 40 eggs to be less than 12.5 inches? Why or why not?

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Math   Statistics-And-Probability   
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Answer #1

Solution :

= / n = 1.8 / 40

P( < 12.5) = P(( - ) / < (12.5 - 13) / 1.8 / 40 )

= P(z < -1.76)

= 0.0392

It be unusual because probability is < 0.05 .

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