Question

In: Statistics and Probability

sample of 67,find probability of a sample mean being less than 20.1 if the mean =...

sample of 67,find probability of a sample mean being less than 20.1 if the mean = 20 and standard deviation=1.35

Expert Solution

Solution :

Given that ,

mean = = 20

standard deviation = = 1.35

n = 67

= = 20 and

= / n = 1.35 / 67 = 0.1649

P( < 20.1) = P(( - ) / < (20.1 - 20) / 0.1649)

= P(z < 0.61) Using standard normal table.

Probability = 0.7291

orchestra answered 2 years ago

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