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 10.23 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. Part (a) In words, define the random variable X. O the number of individuals who complete IRS Form 1040 O the length of time, in hours, for an individual to complete IRS Form 1040 O the number of taxpayers sampled O the length of time, in minutes, an individual to complete IRS Form 1040 Part (b) In words, define the random variable X O the average length of time, in hours, for a sample of 100 taxpayers to complete IRS Form 1040 O the average income of a random sample of taxpayers O the average length of time, in hours, for a sample of 36 taxpayers to complete IRS Form 1040 O the average length of time, in minutes, for a sample of 36 taxpayers to complete IRS Form 1040 Part (c) Give the distribution of X. (Round your answers to two decimal places.) X-? ]) Part (d)

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
icon
Related questions
Question

1. fast please

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 10.23 hours (without any attached schedules). The distribution is unknown. Let us assume that
the standard deviation is two hours. Suppose we randomly sample 36 taxpayers.
Part (a)
In words, define the random variable X.
O the number of individuals who complete IRS Form 1040
O the length of time, in hours, for an individual to complete IRS Form 1040
O the number of taxpayers sampled
O the length of time, in minutes, for an individual to complete IRS Form 1040
Part (b)
In words, define the random variable X.
O the average length of time, in hours, for a sample of 100 taxpayers to complete IRS Form 1040
O the average income of a random sample of taxpayers
O the average length of time, in hours, for a sample of 36 taxpayers to complete IRS Form 1040
O the average length of time, in minutes, for a sample of 36 taxpayers to complete IRS Form 1040
Part (c)
Give the distribution of X. (Round your answers to two decimal places.)
X~? ✔
Part (d)
Find the probability that the 36 taxpayers took an average of more than 12 hours to finish their Form 1040s. (Round your answer to four decimal places.)
Part (e)
Would you be surprised if the 36 taxpayers finished their Form 1040s in an average of more than 12 hours? Explain why or why not in a complete sentence.
O Yes, because the probability is very close to 0.
O No, because the probability is very close to 1.
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 10.23 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers. Part (a) In words, define the random variable X. O the number of individuals who complete IRS Form 1040 O the length of time, in hours, for an individual to complete IRS Form 1040 O the number of taxpayers sampled O the length of time, in minutes, for an individual to complete IRS Form 1040 Part (b) In words, define the random variable X. O the average length of time, in hours, for a sample of 100 taxpayers to complete IRS Form 1040 O the average income of a random sample of taxpayers O the average length of time, in hours, for a sample of 36 taxpayers to complete IRS Form 1040 O the average length of time, in minutes, for a sample of 36 taxpayers to complete IRS Form 1040 Part (c) Give the distribution of X. (Round your answers to two decimal places.) X~? ✔ Part (d) Find the probability that the 36 taxpayers took an average of more than 12 hours to finish their Form 1040s. (Round your answer to four decimal places.) Part (e) Would you be surprised if the 36 taxpayers finished their Form 1040s in an average of more than 12 hours? Explain why or why not in a complete sentence. O Yes, because the probability is very close to 0. O No, because the probability is very close to 1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning