Question 2 Reload the Questiorn A 2015 study showed the average weight of U.S. m

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Question 2 Reload the Questiorn A 2015 study showed the average weight of U.S. males of age 20 years and older was 195.5 pounds with a standard deviation of 47 pounds. The distribution is skewed right. Part 1 :1 point(s) What is the probability that the average weight of a random sample of 100 U.S. adult males is less than 187.5? Enter your answer in the box below rounded to 4 decimal places P(XX1875) Report Error Part 2: 1 point(s) Since the sample size is n=100, what are the values for the following parameters? Enter your answer in the boxes below. Do not round Report Error Part 3:1 point(s) What is the probability that the average weight of a sample of 50 U.S. adult males is between 168 and 182? Enter your answer in the box below to the nearest 4 decimal places, such as 0.8310. Report Error Check Answer

Explanation / Answer

Result:

Part1

Standard error =47/sqrt(100) =4.7

Z value for 187.5, z =(187.5-195.5)/4.7 = -1.70

P( mean x< 187.5) = p( z < -1.70)

=0.0446

Part2

µ=195.5

µx=195.5

=47

x=4.7

part 3

Standard error =47/sqrt(50) =6.6468

Z value for 168, z =(168-195.5)/6.6468 = -4.14

Z value for 182, z =(182-195.5)/6.6468 = -2.03

P( 168<mean x<182)= P( -4.14<z<-2.03)

=P( z < 2-.03) –P( z < -4.14)

=0.0212- 0.0000

=0.0212

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