he amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a tandard deviation of 4.5 ounces. 15 randomly selected people are surveyed. Round all answers to 4 lecimal places where possible. a. What is the distribution of X? X-NO b. What is the distribution of ? - N( c. What is the probability that one randomly selected person drinks between 15.5 and 17 ounces of coffee per day? d. For the 15 people, find the probability that the average coffee consumption is between 15.5 and 17 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? No Yes

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Author:Amos Gilat
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The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a
standard deviation of 4.5 ounces. 15 randomly selected people are surveyed. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X~ N(
b. What is the distribution of ? ~ N(
inces of
c. What is the probability that one randomly selected person drinks between 15.5 and 17 ounce
coffee per day?
d. For the 15 people, find the probability that the average coffee consumption is between 15.5 and 17
ounces of coffee per day.
e. For part d), is the assumption that the distribution is normal necessary? O No Yes
Transcribed Image Text:The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 4.5 ounces. 15 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. What is the distribution of ? ~ N( inces of c. What is the probability that one randomly selected person drinks between 15.5 and 17 ounce coffee per day? d. For the 15 people, find the probability that the average coffee consumption is between 15.5 and 17 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O No Yes
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