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.

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

(b) Reject H₀ if is not between -2.756 and 2.756.

(c) The value of the test statistic is, 1.154.

(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, lies outside the interval then the null hypothesis will be rejected.

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

Thus, the rejection region is:

Reject H₀ if is not between -2.756 and 2.756.

(c)

The information provided is:

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

The t-statistic is given by,  

Thus, the value of the test statistic 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

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

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