Question

Weights of wrestlers are normally distributed with an average weight 177 pounds and a standard deviation...

Weights of wrestlers are normally distributed with an average weight 177 pounds and a standard deviation of 35 pounds. An researcher gathers a group of 64 people to conduct a study. What is the probability that the average weight of the group will be less than 182 pounds?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 177

standard deviation = = 35

n = 64

= 177

= / n =35 / 64 = 4.375

P( < 182 ) = P(( - ) / < (182-177) /4.375 )

= P(z < 1.14 )

= 0.8729

Probability =0.8729

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