Individuals filing federal income tax returns prior to March 31 ceived an average refund of $1080. Consider the population of last inute filers who mail their tax return "late" in April. A researcher ggests that a reason individuals wait until the last minute is that on verage these individuals receive lower refunds than do early filers. or a sample of 400 individuals who filed a tax return in April, the

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a. State the researcher’s null and alternative hypothesis.

b. At α = 0.01, test your hypothesis. Show all your calculations to receive full credit.

1. Individuals filing federal income tax returns prior to March 31
received an average refund of $1080. Consider the population of last
minute filers who mail their tax return "late" in April. A researcher
suggests that a reason individuals wait until the last minute is that on
average these individuals receive lower refunds than do early filers.
For a sample of 400 individuals who filed a tax return in April, the
sample mean refund was $950. Based on prior experience a
population standard deviation of o = $1500 may be assumed. (5 points
each – total 15 points)
a. State the researcher's null and alternative hypothesis.
b. At a = 0.01, test your hypothesis. Show all your calculations to
receive full credit.
Transcribed Image Text:1. Individuals filing federal income tax returns prior to March 31 received an average refund of $1080. Consider the population of last minute filers who mail their tax return "late" in April. A researcher suggests that a reason individuals wait until the last minute is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return in April, the sample mean refund was $950. Based on prior experience a population standard deviation of o = $1500 may be assumed. (5 points each – total 15 points) a. State the researcher's null and alternative hypothesis. b. At a = 0.01, test your hypothesis. Show all your calculations to receive full credit.
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