29. A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. What are the expected value, standard deviation, and shape of the sampling distribution of the a. sample mean? What is the probability that these 64 students will spend a combined total of more than b. $715.21? (Hint: Convert the total expenditure to average expenditure). What is the probability that these 64 students will spend a combined total between $703.59 and c. $728.45?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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29. A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation
of the expenditure is $3. A simple random sample of 64 students is taken.
What are the expected value, standard deviation, and shape of the sampling distribution of the
a.
sample mean?
What is the probability that these 64 students will spend a combined total of more than
b.
$715.21? (Hint: Convert the total expenditure to average expenditure).
What is the probability that these 64 students will spend a combined total between $703.59 and
c.
$728.45?
Transcribed Image Text:29. A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. What are the expected value, standard deviation, and shape of the sampling distribution of the a. sample mean? What is the probability that these 64 students will spend a combined total of more than b. $715.21? (Hint: Convert the total expenditure to average expenditure). What is the probability that these 64 students will spend a combined total between $703.59 and c. $728.45?
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