Question

In: Statistics and Probability

The average age of US adult males is 69.5 inches with a standard deviation of 4.1...

The average age of US adult males is 69.5 inches with a standard deviation of 4.1 inches. An SRS of 13 adult US males was selected. What is the approximate probability that their average height is less than 71 inches?

Solutions

Expert Solution

Solution :

Given that ,

mean = = 69.5

standard deviation = = 4.1

n = 13

= 69.5 and

= / n = 4.1 / 13  

P( < 71) = P(( - ) / < (71 - 69.5) / 4.1 / 13  )

= P(z < 1.32)

Using standard normal table,

P( < 71) = 0.9066

Probability = 0.9066


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