You may need to use the appropriate appendix table or technology to answer this question. A population of 1,000 students spends an average of $10.60 a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of 64 students is taken. (a) What is the expected value (in dollars) of the sampling distribution of the sample mean? $10.60 What is the standard deviation (in dollars) of the sampling distribution of the sample mean? (Round your answer to four decimal places.) $ 0.5 x What is the shape of the sampling distribution of the sample mean? O normal O skewed to the right O exponential O skewed to the left O uniform (b) What is the probability that these 64 students will spend a combined total of more than $722.03? (Round your answer to four decimal places.) (c) What the probability that these 64 students will spend a combined total between $710.27 and $735.93? (Round your answer to four decimal places.) Need Help? Read It

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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You may need to use the appropriate appendix table or technology to answer this question.
A population of 1,000 students spends an average of $10.60 a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of 64 students is taken.
(a) What is the expected value (in dollars) of the sampling distribution of the sample mean?
$10.60
What is the standard deviation (in dollars) of the sampling distribution of the sample mean? (Round your answer to four decimal places.)
$ 0.5
What is the shape of the sampling distribution of the sample mean?
O normal
skewed to the right
exponential
skewed to the left
uniform
(b) What is the probability that these 64 students will spend a combined total of more than $722.03? (Round your answer to four decimal places.)
(c) What is the probability that these 64 students will spend a combined total between $710.27 and $735.93? (Round your answer to four decimal places.)
Need Help? Read It
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A population of 1,000 students spends an average of $10.60 a day on dinner. The standard deviation of the expenditure is $4. A simple random sample of 64 students is taken. (a) What is the expected value (in dollars) of the sampling distribution of the sample mean? $10.60 What is the standard deviation (in dollars) of the sampling distribution of the sample mean? (Round your answer to four decimal places.) $ 0.5 What is the shape of the sampling distribution of the sample mean? O normal skewed to the right exponential skewed to the left uniform (b) What is the probability that these 64 students will spend a combined total of more than $722.03? (Round your answer to four decimal places.) (c) What is the probability that these 64 students will spend a combined total between $710.27 and $735.93? (Round your answer to four decimal places.) Need Help? Read It
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