Conduct a test of a hypothesis about a population mean
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A United Nations report shows the mean family income for Mexican migrants to the United States is $28,120 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 27 Mexican family units reveals a mean to be $39,750 with a sample standard deviation of $12,765. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a. State the null hypothesis and the alternate hypothesis.
H0: μ = 28,120
H1: μ ≠ 28,120
b. State the decision rule for .01 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 if t is not between 17355 and 40855
c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic 24.60
d. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
Reject Ho . This data contradicts the report.
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