A particular variety of watermelon weighs on average 27.3 pounds with a standard deviation of 1.53 pounds. Consider the sample mea watermelon weights are independent. a. What is the expected value of the sample mean weight? Give an exact answer. b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places. What is the approximate probability the sample mean weight will be less than 27.387 Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question d. What is the value c such that the approximate probability the sample mean will be less than c is 0.987 Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
A particular variety of watermelon weighs on average 27.3 pounds with a standard deviation of 1.53 pounds. Consider the sample mea watermelon weights are independent. a. What is the expected value of the sample mean weight? Give an exact answer. b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places. What is the approximate probability the sample mean weight will be less than 27.387 Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question d. What is the value c such that the approximate probability the sample mean will be less than c is 0.987 Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A particular variety of watermelon weighs on average 27.3 pounds with a standard deviation of 1.53 pounds. Consider the sample mean weight of 72 watermelons of this variety. Assume the individual watermelon weights are independent.
a. What is the expected value of the sample mean weight? Give an exact answer.
[__________]
b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places.
[__________]
c. What is the approximate probability the sample mean weight will be less than 27.38? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
[__________]
d. What is the value c such that the approximate probability the sample mean will be less than c is 0.987? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
[__________]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2F98959bb0-5f0c-4a67-bb11-499824b62e45%2F811glhy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particular variety of watermelon weighs on average 27.3 pounds with a standard deviation of 1.53 pounds. Consider the sample mean weight of 72 watermelons of this variety. Assume the individual watermelon weights are independent.
a. What is the expected value of the sample mean weight? Give an exact answer.
[__________]
b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places.
[__________]
c. What is the approximate probability the sample mean weight will be less than 27.38? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
[__________]
d. What is the value c such that the approximate probability the sample mean will be less than c is 0.987? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
[__________]
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