According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,074 in 2018. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of Ho will support the researcher's contention. Ho: µ is - select your answer - Ha: µ is - Select your answer - b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of o = $1,600 may be assumed. What is the p-value (to 4 decimals)? c. Using a = 0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? - Select your answer - d. Repeat the preceding hypothesis test using the critical value approach.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,074 in 2018. Consider the population of
"last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers.
Develop appropriate hypotheses such that rejection of Ho will support the researcher's contention.
Но: p is
- Select your answer -
Ha:
:µ is
- Select your answer -
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population
standard
eviation of o = $1,600 may be assumed. What
the p-value (to 4 decimals)?
c. Using a =
0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers?
- Select your answer - ♥
d. Repeat the preceding hypothesis test using the critical value approach.
Using a =
0.05, what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number.
State the rejection rule: Reject Ho if z is
- Select your answer -
the critical value.
Using the critical value approach, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early
filers?
V - Select your answer -
Yes
No
Transcribed Image Text:According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,074 in 2018. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of Ho will support the researcher's contention. Но: p is - Select your answer - Ha: :µ is - Select your answer - b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard eviation of o = $1,600 may be assumed. What the p-value (to 4 decimals)? c. Using a = 0.05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? - Select your answer - ♥ d. Repeat the preceding hypothesis test using the critical value approach. Using a = 0.05, what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. State the rejection rule: Reject Ho if z is - Select your answer - the critical value. Using the critical value approach, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? V - Select your answer - Yes No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman