A United Nations report shows the mean family income for Mexican migrants to the
ID: 3381561 • Letter: A
Question
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,150 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 30 Mexican family units reveals a mean to be $29,500 with a sample standard deviation of $11,150. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
State the decision rule for .01 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,150 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 30 Mexican family units reveals a mean to be $29,500 with a sample standard deviation of $11,150. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
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 andExplanation / Answer
Formulating the null and alternative hypotheses,
Ho: u = 27150
Ha: u =/ 27150
As we can see, this is a two tailed test.
Thus, getting the critical t,
df = n - 1 = 29
tcrit = +/- 2.756385904
Thus, we reject Ho if t is not between -2.756 and 2.756. [ANSWER]
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Other info:
Getting the test statistic, as
X = sample mean = 29500
uo = hypothesized mean = 27150
n = sample size = 30
s = standard deviation = 11150
Thus, t = (X - uo) * sqrt(n) / s = 1.154392834
Also, the p value is
p = 0.257763731
Comparing t and tcrit (or, p and significance level), we FAIL TO REJECT THE NULL HYPOTHESIS.
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