. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)

Answers

Answer 1

Answer:

Yes the conclusion in the question  is a reasonable conclusion

Step-by-step explanation:

From the question we are told that

    The sample size is  [tex]n_1 = n_2 = n = 250[/tex]

     The sample mean for USA is  [tex]\= x_1 = 391 \ minutes[/tex]

     The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]

     The sample standard deviation for USA is  [tex]s_1 = 25 \ minutes[/tex]

    The sample standard deviation for Mexico is  [tex]s_2 = 49 \ minutes[/tex]

     

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 < \mu_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]

=>     [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]

=>     [tex]z = -10[/tex]

From the z table  the area under the normal curve to the left corresponding to   -10  is

    [tex]p-value = P(Z < -10 ) = 0.00[/tex]

Generally from the value obtained we see that

  The p-value is  <  [tex]\alpha[/tex]  hence

The decision rule is

Reject the null hypothesis

The conclusion is  

 The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico

Hence the conclusion in the question is a  reasonable conclusion

Answer 2

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

Given :

The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.

According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].

The hypothesis are as follows:

Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]

Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]

Now, the mathematical representation of test statistics is:

[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]

[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]

z = -10

According to the z-table:

p - value = p (Z < -10) = 0

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.

This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

For more information, refer to the link given below:

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Which two expressions are equivalent?
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Please help! I will mark first answer brainliest and lots of points!!!! Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him determine how to prove that each of the following numbers is rational. If you answer all I will appreciate that very much!
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Answers

Shouldn’t it be 6. and 3. I hope it helped

Answer: All Options also - 9 + -9 = -18

Step-by-step explanation: The Reason It Is All Of Them Is Because A Rational Number Is A Fraction Integer or Some Kind of repeating decimal And They All Are In That Category.

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Answers

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A square shaped pasture has an area of 144 square feet. What is the perimeter of the pasture?

Answers

Answer:

48 ft.

Step-by-step explanation:

sqr root 144= 12

12x4=48

the perimeter of the square should be 48 square feet.

we know that in a square, all the sides are the same length. the square root of 144 is 12, and we know the square root of a number (12) is what gives the square root (144) when multiplied by itself. the formula of area (in a square) is A = bh, where the b stands for base and the h stands for height. if the base and height multiplied equals 144, we know both the base and height are 12 square feet. so now that we know all of the sides are 12 square feet, we can finally solve perimeter. you find perimeter by adding up all the sides. 12 + 12 + 12 + 12 = 48. (you can also do 12 x 4). this is how we know the perimeter is 48 square feet.

^^ only included this in case you needed to give an explanation.

Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?

Answers

Answer:

the answer is 17 here is the step below

Step-by-step explanation:

Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.

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The Law of Sines states that sinα739=sin95∘2517.

By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.

The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

What is the triangle?

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We have a triangle shown in the picture

To find the measure of the angle ∠CBA

Applying sin law:

sin95/2517 = sin∠CBA/739

0.292 = sin∠CBA

∠CBA = sin⁻¹(0.292)

∠CBA = 17 degrees

Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

Learn more about the triangle here:

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What is the solution to the system of equations graphed below?
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Answers

Answer:

x = 6

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This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. https://brainly.com/question/13675950

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Step-by-step explanation:

Solve the system of equations by elimination
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C. Infinite numbeer of solutions

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Answer:

Step-by-step explanation:

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Simplify:


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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

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Here is a Venn diagram illustrating the information given:

    _______        _______

   |       |      |       |

   |  F    |      |  C    |

   |___|___|      |___|___|

       |              |

   |       |      |       |

B  |  FC   |      |   B   |

   |___|___|      |___|___|

       |              |

   |       |      |       |

   |  O    |      |   E   |

   |___|___|      |___|___|

 F = Football

 B = Basketball

 C = Cricket

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To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:

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To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:

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Answer:

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Step-by-step explanation:

porque yo so muy inteligente,la reina...

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Answers

Answer:

The Commutative Law of Addition.

Step-by-step explanation:

Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.

Hope this helped!

Answer:

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Answers

Answer:

3 + 0.25x

Step-by step answer:

1. add like terms inside the bracket 8+4=12

2. divide each term in bracket by 4

12/4 = 3

x/4 = 0.25x

Answer:

Step-by-step explanation:

1/4(8+4+x)=

1/4(12+x)=

3+ x/4

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Enter your answer in the box.

Answers

Answer:

80°

Step-by-step explanation:

70+30=100

180 - 100= 80°

Please help me with this one

Answers

Answer:b because it has three sides.

Step-by-step explanation:

Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
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meters.

Answers

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Answers

Answer:

2nd and obtuse triangle - should be - double check

Step-by-step explanation:


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Answers

it’s y = 1/8x - 3, so the first answer
Y = - 1/8 -3
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Answers

Answer:

[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]d=.5*a*t^2[/tex]

It's required to solve it for a.

Swap sides to have the letter on the left side:

[tex].5*a*t^2=d[/tex]

Divide by [tex].5*t^2[/tex]:

[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]

Can someone please help me with this question

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Answer:

Eat some mc donolds then ur good

Step-by-step explanation:

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HELPPPPP!!! 20 points

Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9

Answers

Answer:Oy=2x+3

Step-by-step explanation:

Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get

Answers

Answer:
90
Step-by-step explanation:
Total Prize 240
Sharing at 3:5 = 3+5 = 8
240/8 = 30
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