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1. Individ uals 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 receive lower refunds than do early filers. We have developed the following hypotheses for this case. Ho: u1056 HA: μ < 1056 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°: $1600 may be assumed. At α-.05, write the decision rule, test the hypotheses and write decision and conclusion for this problem. (12 pts)
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