SOLUTION: A United Nations report shows the mean family income for Mexican migrants to the United States is $26,450 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 23 Mexica
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Question 1062012: A United Nations report shows the mean family income for Mexican migrants to the United States is $26,450 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 23 Mexican family units reveals a mean to be $37,190 with a sample standard deviation of $10,700. 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 =
H1: μ ≠
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
and
c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
d. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
. This data the report.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
United Nations report shows the mean family income for Mexican migrants to the United States is $26,450 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 23 Mexican family units reveals a mean to be $37,190 with a sample standard deviation of $10,700. 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 = 26450::::::H1: μ ≠ 26450
---------------------
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.)
invNorm(0.005) = -2.5758
Reject H0 if t is NOT between -2.5758 and +2.5758
----------------------------
c. Compute the value of the test statistic. (Round to 2 decimal places.)
test statistic: z(37,190) = (37190-26450)/10,700 = 1.00
------------- Since the test stat is not in the rejection interval,
Fail to reject Ho. The test results support the UN report at the 1% level.
d. Does this information disagree with the United Nations report? Apply the 0.01 significance level. :: Ans: It supports the UN report.
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Cheers,
Stan H.
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