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. 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.)
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
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:
https://brainly.com/question/23044118
HELP ME PLEASEEEEEEEEEE
which point of the number line represents negative 4/5?
A
B
C
D
Answer:
the answer is A
Step-by-step explanation:
A bag of marbles contains three blue, one black, and four
yellow marbles. If two marbles are chosen at random
without replacement, what is the probability that both
marbles will be yellow?
Answer:
3/14Step-by-step explanation:
Blue = 3Black = 1Yellow = 4Total = 3 + 1 + 4 = 8
Probability of two yellows:
4/8*3/7 = 3/14Helpp me pleasee correct answers! (10 points )
Answer: Approximately 30.4 degrees
=========================================================
Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.
(b) 25% of what number is 17?
Answer:
68
Step-by-step explanation:
derive that 25 percent of 68 equals 17.
Answer:
25 percent of 68 equals 17.
Step-by-step explanation:
A classroom is painting the classrooms. Each classroom takes 1/3 of a gallon of
paint. If the school buys 6 gallons of paint, how many classrooms can they paint?
Plz help
Answer: try 18
Step-by-step explanation:
Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
32 quarts
52 quarts
O 36 quarts
12 quarts
Answer:
A.) 32 quarts
Step-by-step explanation:
If there are 4 quarts in a gallon, and Sally has 8 gallons of punch total, 4*8=32 quarts.
Answer:
32 quarts
Step-by-step explanation:
1 gallon = 4 quarts
5+1+2=8
8 × 4 = 32
easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
Simplify:
3^x-1 × 27^x+1
___________
81^x
Answer:
3^x-1×27^x+1
___________
81^x
81^x+x-1+1
_________
81^x
81^2x
_____
81^x
81^2x-1x
81^1x
What the slope of (-2, 3) and (-8, -1)
Answer:
slope of given points are;(y2-y1)÷(x2-x1)
=(-1-3)÷(-8+2)
= -4÷-6
=2/3
Draw a rough sketch of the graph of f(x)=(x+1)^2(x-4). Insert a picture of your sketch below.
WILL GIVE BRAINLIEST PLS PLS HELP
Answer:
I will help you since you asked :) sorry for taking so long
step explanation:
The solution is f ( x ) = ( x + 1 )² ( x - 4 )
What is Equation of Graph of Polynomials?
Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
The equation is f ( x )
f ( x ) = ( x² + 2x + 1 ) ( x - 4 )
On Simplifying the equation , we get
f ( x ) = ( x³ - 4x² + 2x² - 8x + x - 4 )
Now , this is a polynomial equation and can be plotted on a graph and is shown below
To learn more about equation of the graph click :
https://brainly.com/question/16957172
#SPJ2
find the slope intercept form of the equation of the line that passes through (-1,5) and is parallel to the line y=2x+4
Answer:
y = 2x + 7
Step-by-step explanation:
Fill in the blank
A small scoop of ice cream holds 75% as much as a large scoop of ice cream.
If the small scoops holds 36 ounces, how much does the large scoop hold? _______________ ounces.
Answer:
48 ounces
Step-by-step explanation:
75% of x = 36
= 0.75x = 36
Dividing both sides by 0.75 we get:
x = 36/0.75
x = 48 units
The large scoop can hold 48 ounces.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A small scoop of ice cream holds 75% as much as a large scoop of ice cream. Let the large scoop hold x then as per question we have x×0.75=36
x= 48
Hence, The large scoop can hold 48 ounces.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
Please helpp I’ll give brainleist
Answer:
87 for lo and om is 56
Step-by-step explanation:
Answer:
<LON= 98 Degrees
Step-by-step explanation:
180-55(2)=70
70+28=98
Please answer, will give brainliest.
Answer:
third one
Step-by-step explanation:
Answer:
I think one solution
Step-by-step explanation:
*Sorry if this did not help. I'm only in 5th grade*
КУ Meccahi Grant Question #21 The perimeter of a rectangle is given by the algebraic Part A. expression 2x2 + 4x + 4. The width of this rectangle Create an algebraic expression in terms of x to 2 is given by the algebraic expression x? – 4. represent the length of the rectangle. The perimeter of a rectangle is given by the algebraic expression 2x2 + 4x +4. The width of this rectangle is given by the algebraic expression x2 - 4. Part A Create an algebraic expression in terms of x to represent the length of the rectangle. Part B If x = 3, what is the area of this rectangle in squa units? Remember to include units.
Answer: The question requires an understanding of how to compose and decompose multi digit numbers. The expanded form 70,000 + 4,000 + 70 + 2 corresponds to the number 74,072, which is the population of Davidson County.
(sorry if i'm wrong)
:(
Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?
Answer:
69.99
Step-by-step explanation:
Answer:
23.80
Step-by-step explanation:
-4x +8 = 12
what does x =
Answer:
x = -1
Step-by-step explanation:
-4x + 8 = 12
-8 -8
-4x = 4
divide both sides by -4
x = -1
Hope this helps!!!
whats 2+2 lollololololololololololololololololololo
Answer:
4ssssssssssssssssssssssssssss
For every 24 cookies, there are 12 students. Which ratio does not represent cookies to students?
Answer: 12:24
Step-by-step explanation:
You can’t have 12 students to each cookie
Answer:
D: 2 students for every cookie
Step-by-step explanation:
D does not represent the ratio of cookies to students because it claims there are 2 students to every cookie, where there are 2 cookies for every student.
Which container holds more, a half-gallon milk jug or a 2-liter juice bottle
Answer:
1 gallon=3.79 liters 2 liter juice bottle would hold more
Step-by-step explanation:
Which number line correctly shows -3-(1.5)
HELP PLEASE! IMAGE ATTACHED
Answer:
I cannot see the picture it just shows the image logo
Step-by-step explanation:
The sum of five times a number and four is equal to negative eleven. What is the number?
-4
-5
-2
-3
Answer:
-4
Step-by-step explanation:
Answer:
The answer is -3
Step-by-step explanation:
First I subtracted 4 from -11 giving me the product of 5 and n before 4 was added which is -15
I then divided -15 by 5 giving me -3
Solve the following proportion for u.
5
7
11
Round your answer to the nearest tenth.
Rob is setting up a model train track that is 3 and 3 over 8 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 3 over 8 foot apart. How many telephone poles does he need? (Input number values only.
Answer:
9?
Step-by-step explanation:
Answer:
sorry dont understaand
Step-by-step explanation:
this is 10 points, PLS help
Answer:
Sound can travel 12 miles per minute.
Step-by-step explanation:
Speed equation is distance divided by time.
So we have 1 mile per 1/12 of a minute.
Let’s write the equation.
Speed of sound = 1 / 1/12
Multiply by the reciprocal.
1 * 12 = 12.
For f(x) = x3-x2, which gives an output of 48?
A. f(-8)
B. f(-4)
C. f(4)
D. f(8)
Answer:
The input is x−2, therefore
Step-by-step explanation:
f(x−2)=(x−2)2−3(x−2)+1
What is $6.00÷1.50? Please give me the right answers
Answer:
4
Step-by-step explanation:
Answer:
$4.00
Step-by-step explanation:
I used a calculator.