According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.53 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is 2.5 hours. Suppose we randomly sample 81 taxpayers.
According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.53 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is 2.5 hours. Suppose we randomly sample 81 taxpayers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
d and e
Transcribed Image Text:d. What is the z-score/how many standard errors
away is an average of 12 hours for a sample of
size 100? 7.35
x What is the
probability that it would take on average over 12
hours for the 100 taxpayers to finish their form
1040? 7.35
X Would you find this
unusual?
no
O yes
e. What is the z-score/how many standard
deviations away is 12 hours for one tax-payer?
0.23117 x What is the probability that it
would take one person over 12 hours to finish
their form 1040? 0.735
x Would you
find this unusual?
yes
no
Transcribed Image Text:According to the Internal Revenue Service, the
average length of time for an individual to
complete
(keep records for, learn, prepare, copy, assemble,
and send) IRS Form 1040 is 10.53 hours (without
any
attached schedules). The distribution is unknown.
Let us assume that the standard deviation is 2.5
hours.
Suppose we randomly sample 81 taxpayers.
a. What is the sampling distribution of the sample
ean, including name of the distribution,
normal
O, its
mean, 10.53
0.277778
10.53
OF?
b. Repeat a if we sampled 100 taxpayers. Name of
the distribution,
normal
o, its mean,
O and standard error,
0.25
or?
and standard error,
Hint for finding the z-scores
c. What is the z-score/how many standard errors
away is an average of 12 hours for a sample of
size 81? 5.2920
o What is the
probability that it would take on average over 12
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