points lllowskyIntrostat1 7.HW.068 My Notes Ask Your Teacher The percent of fat
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points lllowskyIntrostat1 7.HW.068 My Notes Ask Your Teacher The percent of fat calories that a person consumes each day is normally distributed with a mean of about 34 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X-average percent of fat calories. (a) Give the distribution of X. (Round your standard deviation to two decimal places.) (b) For the group of 16, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined 10 15 20 25 30 35 40 10 15 20 2530 35 40 10 15 20 25 30 35 40 10 15 20 25 30 3540Explanation / Answer
a)as std error of mean =std deviaiton/sqrt(n)=10/sqrt(16)=2.5
Xbar ~ N(34 ,2.5)
b)
P(Xbar >6)=P(Z>(6-34)/2.5)=P(Z>-11.2)=1.0000
top right curve is right
c)
for first quartile crtiical z =-0.67
hence first quartile value =mean+z*std deviation =34-0.67*2.5=32.33 (please try 32.31 if this comes wrong)
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