1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kifflom [539]
3 years ago
13

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

Labor Organizing Committee) evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000. Is this information consistent with the United Nations report
Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

You might be interested in
A 4-column table with 3 rows. Column 1 has entries run, do not run, total. Column 2 is labeled lift weights with entries 40, bla
alexandr1967 [171]

Answer:

A Totals row in Access helps you see, at a quick glance, what the totals are for columns on a datasheet. For example, in a table of purchase information, we can show the sum of the price, or units purchased, or a total count of the items by adding a Totals row to the datasheet:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A written description of -5a+3&gt;1
Rudiy27
The sum of negative 5a and 3 is greater than 1.
8 0
3 years ago
Read 2 more answers
Please answer all parts of the question and all work shown.
faust18 [17]

Answer:

a. 0.4931

b. 0.2695

Step-by-step explanation:

Given

Let BG represents Boston Globe

NYT represents New York Times

P(BG) = 0.55

P(BG') = 1 - 0.55 = 0.45

P(NYT) = 0.6

P(NYT') = 1 -0.6 = 0.4

Number of headlines = 5

Number of depressed articles = 3 (at most)

a.

Let P(Read) = Probability that he reads the news the first day

P(Read) = P(He reads BG) and P(He reads NYT)

For the professor to read BG, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(BG = 4) is given as the binomial below

(BG + BG')^n where n = 5, r = 4

So, P(BG = 4) = C(5,4) * 0.55⁴ * 0.45¹

P(BG = 5). = (BG + BG')^n where n = 5, r = 5

So, P(BG = 5) = C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3)= 1 - P(BG = 4) - P(BG = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.55⁴ * 0.45¹ - C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3) = 0.7438

For the professor to read NYT, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(NYT = 4) is given as the binomial below

(NYT+ NYT')^n where n = 5, r = 4

So, P(NYT = 4) = C(5,4) * 0.6⁴ * 0.4¹

P(NYT = 5). = (NYT + NYT')^n where n = 5, r = 5

So, P(NYT = 5) = C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3)= 1 - P(NYT = 4) - P(NYT = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.6⁴ * 0.4¹ - C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3) = 0.6630

P(Read) = P(He reads BG) and P(He reads NYT)

P(Read) = 0.7438 * 0.6630

P(Read) = 0.4931

b.

Given

n = Number of week = 7

P(Read) = 0.4931

R(Read') = 1 - 0.4931 =

He needs to read at least half the time means he reads for 4 days a week

So,

P(Well-informed) = (Read + Read')^n where n = 7, r = 4

P(Well-informed) = C(7,4) * (0.4931)⁴ * (1-0.4931)³ = 0.2695

3 0
3 years ago
A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in
lana [24]

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

P(Bedroom) = 0.4

P(Kitchen) = 0.1

P(Bathroom) = 0.2

P(Living\ room) = 0.15

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)

Probability = 1 - 0.85

Probability = 0.15

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

Probability = P(Bedroom) + P(Kitchen)

Probability = 0.2 + 0.1

Probability = 0.3

6 0
3 years ago
Can someone help with this problem please? Thanks.
Zarrin [17]
First, find the slope of the line. Use the two points given, (-4,0) and (4,2), in the slope formula rise over run. The change in rise is 2 and the change in run is 8, meaning that the slope is 2/8, simplified to 1/4. The y-intercept is 1, shown by the graph and the dashed line and shaded area means that the inequality symbol must be <. Slope-intercept form is shown as y = mx + b, so after putting our information in to the equation the answer is y < 1/4x + 1. Hope this helps!
6 0
3 years ago
Other questions:
  • In the diagram of circle O, what is the measure of abc? 34° 45° 68° 73°
    6·2 answers
  • A cyclist rides his bike at a rate of 15 miles per hour. What is this rate in miles per minute? How many miles will the cyclist
    13·1 answer
  • What is the slope of a line that<br> contains the points (4, 3) and (-1, -4)?
    15·1 answer
  • Solve for x, given the equation Square root of x plus 9 − 4 = 1.
    13·1 answer
  • 1535372842994627392747382746272836372 plus times minus 2222222 THIS IS 100 POINTS
    15·2 answers
  • What is 2 3/4+1 3/4?
    10·1 answer
  • Who know the answer to this
    6·1 answer
  • How do you do this I’m in 9th grade
    6·1 answer
  • Geometry Question!!!
    8·1 answer
  • Divide ₹210 among A and B in the ratio 2:3​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!