(b) Suppose that the mean value of x is 21.0 and that the standard deviation is 16.7. If a random sample of n = 100 customers is to be selected and x denotes the sample mean number of checks written during a particular month, where is the sampling distribution of x centered? What is the standard deviation of the sampling distribution of x? Sketch a rough picture of the sampling distribution. o-6 -2 -2 -1 2 16 18 20 22 24 26

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Suppose that college students with a checking account typically write relatively few checks in any given month, whereas people who are not college students typically write many more checks during a month. Suppose that 50% of a bank's
accounts are held by students and that 50% are held by people who are not college students. Let x represent the number of checks written in a given month by a randomly selected bank customer.
(a) Give a sketch of what the population distribution of x might look like.
(b) Suppose that the mean value of x is 21.0 and that the standard deviation is 16.7. If a random sample of n = 100 customers is to be selected and x denotes the sample mean number of checks written during a particular month, where
P Type here to search
8:52 PM
12/11/2020
O 4) G
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Transcribed Image Text:Suppose that college students with a checking account typically write relatively few checks in any given month, whereas people who are not college students typically write many more checks during a month. Suppose that 50% of a bank's accounts are held by students and that 50% are held by people who are not college students. Let x represent the number of checks written in a given month by a randomly selected bank customer. (a) Give a sketch of what the population distribution of x might look like. (b) Suppose that the mean value of x is 21.0 and that the standard deviation is 16.7. If a random sample of n = 100 customers is to be selected and x denotes the sample mean number of checks written during a particular month, where P Type here to search 8:52 PM 12/11/2020 O 4) G 26
WA Final Examination - STAT 370 TR, X
C Solved: College students with che x
C In Response To Budget Cuts, Cou x b My Questions | bartleby
x +
A webassign.net/web/Student/Assignment-Responses/revert?pos=11&dep=25472606&tags=autosave#question4734388_11
(b) Suppose that the mean value of x is 21.0 and that the standard deviation is 16.7. If a random sample of n = 100 customers is to be selected and x denotes the sample mean number of checks written during a particular month, where
is the sampling distribution of x centered?
What is the standard deviation of the sampling distribution of x?
Sketch a rough picture of the sampling distribution.
o-6
-4
-2
4
-3
-2
-1
1
2
3
16 18
20
22
24
26
18 19
20
21
22
23
24
(c) What is the approximate probability that x is at most 20? (Round your answer to four decimal places.)
What is the approximate probability that x is at least 25? (Round your answer to four decimal places.)
8:50 PM
P Type here to search
A O 4)
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26
12/11/2020
近
Transcribed Image Text:WA Final Examination - STAT 370 TR, X C Solved: College students with che x C In Response To Budget Cuts, Cou x b My Questions | bartleby x + A webassign.net/web/Student/Assignment-Responses/revert?pos=11&dep=25472606&tags=autosave#question4734388_11 (b) Suppose that the mean value of x is 21.0 and that the standard deviation is 16.7. If a random sample of n = 100 customers is to be selected and x denotes the sample mean number of checks written during a particular month, where is the sampling distribution of x centered? What is the standard deviation of the sampling distribution of x? Sketch a rough picture of the sampling distribution. o-6 -4 -2 4 -3 -2 -1 1 2 3 16 18 20 22 24 26 18 19 20 21 22 23 24 (c) What is the approximate probability that x is at most 20? (Round your answer to four decimal places.) What is the approximate probability that x is at least 25? (Round your answer to four decimal places.) 8:50 PM P Type here to search A O 4) W 26 12/11/2020 近
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