(b) What is the probability that the mean response time to these 49 emails will be between 4 hours and 6 hours?
(b) What is the probability that the mean response time to these 49 emails will be between 4 hours and 6 hours?
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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please send complete handwritten solution for Q5 part b
![5.
The amount of time it takes a professor to respond to a student's email follows a right-skewed
probability distribution with a mean of 4.4 hours and a standard deviation of 9.1 hours. Let X represent the
mean response time to a random sample of 49 student emails.
(a) What is the sampling distribution of X? Explain. State the values of any relevant parameters.
(b) What is the probability that the mean response time to these 49 emails will be between 4 hours and 6
hours?
(c) If a random sample of 49 emails is selected, there is a 12% chance that the mean response time will fall
below what value?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42ad11a0-80f3-4314-b634-56e73b0f7172%2F32a5760e-142b-48c2-ab31-5dd21ed44e6f%2Ff5hpnz_processed.png&w=3840&q=75)
Transcribed Image Text:5.
The amount of time it takes a professor to respond to a student's email follows a right-skewed
probability distribution with a mean of 4.4 hours and a standard deviation of 9.1 hours. Let X represent the
mean response time to a random sample of 49 student emails.
(a) What is the sampling distribution of X? Explain. State the values of any relevant parameters.
(b) What is the probability that the mean response time to these 49 emails will be between 4 hours and 6
hours?
(c) If a random sample of 49 emails is selected, there is a 12% chance that the mean response time will fall
below what value?
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