Question

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.3 feet and a standard deviation of 0.20 feet. A sample of 82 men’s step lengths is taken.

Step 2 of 2 :  

Find the probability that the mean of the sample taken is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.

Answer 1

Solution :

= / n = 0.20 / 82

P( < 2.1) = P(( - ) / < (2.1 - 2.3) / 0.20 / 82)

= P(z < -9.06)

= 0

Probability = 0