please solve Problem 1 The percent of fat calories that a person in America cons

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please solve

Problem 1 The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 47 and a standard deviation of about 15 . Suppose that 10 individuals are randomly chosen. Let X average percent of fat calories consumed mple of size 10 Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.01 a. (20) X ~ | (pick one) ? (pick one) b. (.20) Use th ndard deviation of X to determine the z value for X 40 z= c. (20) illustra ) as an area by adjusting the slider along the horizontal axis to control the z value. 0.300 -2 Fill left UFill right

Explanation / Answer

a) xbar~ (47,15/sqrt(10))

b)
z = ( x -mean) / (s/sqrt(n))
= ( 40 - 47) / (15/sqrt(10))
= -1.4757

c)
d)
P(x <40) = P(z <-1.4757) = 0.0699 by using standard normal table

e)
First quartile means = 25%

z value at 25% = -0.6745

-0.6745 = (x - 47) /4.7434
x = 43.8006

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