ndividuals 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 he last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals repeive lower refunds than do early filers. Develop appro- priate hypotheses such that rejection of H, will support the researcher's contention. 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 devi- ation of o = $1600 may be assumed. What is the p-value? a.

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Please answer a, b, c and d
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 suggests that a reason individuals wait until the last five days is that on
average these individuals repeive lower refunds than do early filers. Develop appro-
priate hypotheses such that rejection of H, will support the researcher's contention.
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 devi-
ation of o
a.
b.
= $1600
may
be assumed. What is the p-value?
your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
с.
At a =
.05, what is
Transcribed Image Text: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 suggests that a reason individuals wait until the last five days is that on average these individuals repeive lower refunds than do early filers. Develop appro- priate hypotheses such that rejection of H, will support the researcher's contention. 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 devi- ation of o a. b. = $1600 may be assumed. What is the p-value? your conclusion? d. Repeat the preceding hypothesis test using the critical value approach. с. At a = .05, what is
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