The average amount that people spend on take-out on Fridays is $67, and the standard deviation is $13. Assume that the distribution of money spent on take-out is normal, and suppose that the amount spent by 69 randomly selected people are recorded. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of x? x N( c. For the sample of 69 people, find the probability that the average amount spent is between $66 and $70.

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The average amount that people spend on take-out on Fridays is $67, and the standard deviation is $13.
Assume that the distribution of money spent on take-out is normal, and suppose that the amount spent by
69 randomly selected people are recorded. Answer the following questions.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X N
b. What is the distribution of x? a N(
c. For the sample of 69 people, find the probability that the average amount spent is between $66 and
$70.
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Transcribed Image Text:The average amount that people spend on take-out on Fridays is $67, and the standard deviation is $13. Assume that the distribution of money spent on take-out is normal, and suppose that the amount spent by 69 randomly selected people are recorded. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of x? a N( c. For the sample of 69 people, find the probability that the average amount spent is between $66 and $70. > Next Question P Type here to search 立
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