The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. a.) TRUE or FALSE: The random variable is defined as the average percent of fat calories consumed each day by a person in America. b.) For a sample of size 16, state the mean of the sample mean. c.) For a sample of size 16, state the standard deviation of the sample mean (the "standard error of the mean"). d.) Suppose a sample of size 16 is taken. Find the probability that the average percent o fat calories consumed is more than 30.

MATLAB: An Introduction with Applications
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The percent of fat calories that a person in America consumes each day is normally distributed
with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are
randomly chosen.
a.) TRUE or FALSE: The random variable is defined as the average percent of fat
calories consumed each day by a person in America.
b.) For a sample of size 16, state the mean of the sample mean.
c.) For a sample of size 16, state the standard deviation of the sample mean (the
"standard error of the mean").
d.) Suppose a sample of size 16 is taken. Find the probability that the average percent o
fat calories consumed is more than 30.
Transcribed Image Text:The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. a.) TRUE or FALSE: The random variable is defined as the average percent of fat calories consumed each day by a person in America. b.) For a sample of size 16, state the mean of the sample mean. c.) For a sample of size 16, state the standard deviation of the sample mean (the "standard error of the mean"). d.) Suppose a sample of size 16 is taken. Find the probability that the average percent o fat calories consumed is more than 30.
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