Mathematics, 15.04.2020 18:56 dayjionneam

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.

(a) State the null hypothesis and the alternate hypothesis.

H0: µ =
H1: µ ?
(b) State the decision rule for .01 significance level. (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.

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Answer from: jdeformity

(a) H₀: µ = $27,150 vs. Hₐ: µ ≠$27,150.

(b) Reject H₀ if $t_{cal.}$ is not between -2.756 and 2.756.

(d) The information does not disagrees with the United Nations report.

Step-by-step explanation:

A single mean test is applied to test whether the population mean family income for Mexican migrants to the United States is different from $27,150 per year.

(a)

The hypothesis is:

H₀: The mean family income for Mexican migrants to the United States is $27,150 per year, i.e. µ = $27,150.

Hₐ: The mean family income for Mexican migrants to the United States is $27,150 per year, i.e. µ ≠$27,150.

(b)

The decision rule is:

If the test statistic value, $t_{cal.}$ lies outside the interval $(t_{(1-\alpha/2), (n-1)}$ then the null hypothesis will be rejected.

Compute the critical values for α = 0.01 and degrees of freedom, (n -1) = 29 as follows:

$t_{(1-\alpha/2), (n-1)}=-2.756$

$t_{\alpha/2, (n-1)}=2.756$

Thus, the rejection region is:

Reject H₀ if $t_{cal.}$ is not between -2.756 and 2.756.

(c)

The information provided is:

$\bar x=\$29500\\s=\$11150\\n=30\\\alpha =0.01$

Since the population standard deviation is not given we will use a t-test.

The t-statistic is given by,

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{29500-27150}{11150/\sqrt{30}}=1.154$

Thus, the value of the test statistic $t_{cal.}$ is, 1.154.

(d)

The calculated t-statistic is, t = 1.154.

The test statistic value lies in the range (-2.756, 2.756).

Thus, the null hypothesis will not be rejected at 1% level of significance.

Hence, concluding that the information does not disagrees with the United Nations report.

Answer from: Quest

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

Me? ! with this question which relationship is a function?

Answer from: Quest

9 x 8 divided by (5-3)=36

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