Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. 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 researcher suggest 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 will support the researcher’s contention.For a sample of 400 individuals who file a tax return between April 10 and April 15, the sample mean refund was $910. Based on prior experience a population standard deviation of o=1600 may be assumed. What is the p-value?At a=.05 , What is your conclusion?

Guven that, an Individuals filing federal income tax returns prior to March 31 received an average…

Answered: Individuals filing federal income tax…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.EA: Extended Application Contagion

Problem 2EA

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Individuals filing federal income tax returns prior to March 31 received an average refund of $1056.

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 researcher suggest 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 will support the researcher’s contention.
For a sample of 400 individuals who file a tax return between April 10 and April 15, the sample mean refund was $910. Based on prior experience a population standard deviation of o=1600 may be assumed. What is the p-value?
At a=.05 , What is your conclusion?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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