People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.

Answers

Answer 1

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI


Related Questions

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many preferred a trip to the beach?
Question 2 options:

1) 810


2) 1,215


3) 1,350


4) 2,025

Answers

Answer:

answer is 1350

Step-by-step explanation:

I have seen this question before.

Someone please help me

Answers

Answer:

 1. X:    0, -3

 2. Y:   1, -1

 3. Z:    4, -4

 4. M:   -4, 1

 5. N:    -2, 2

 6. P:    2, 4

 7. Q:    2, 0

 8. R:   -3, -1

Answer:

1. (0,-3)

2. (1,-1)

3. (4,-4)

4. (-4,1)

5. (-2,2)

6. (2,4)

7. (2,0)

8. (-3,-1)

9-17: first photo

18a: second photo

18b. A pentagon.  When you connect the points, the shape has 5 sides

Step-by-step explanation:

1.9t-5 simplify using commutative property

Pls help lolll

Answers

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

convert 60mph to feet per minute

Answers

ummmmmmmmmmmmmmmmmmmmmm

the discount price of a hat is $24. whats the regular price

Answers

is there anymore info

A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?

Answers

Answer:

720 employees

Step-by-step explanation:

Number of responded employees = 90% of 2000 employees = 1800 employees

Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.

Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)

-3p>-48 Solve the inequality

Answers

9514 1404 393

Answer:

  p < 16

Step-by-step explanation:

Dividing the inequality by a negative number will reverse the comparison.

  -3p > -48

  (-3p)/(-3) < (-48)/(-3) . . . . divide both sides by the coefficient of p

  p < 16

_____

Alternate solution

Add 3p+48 to both sides.

  -3p +(3p +48) > -48 +(3p +48)

  48 > 3p

Divide both sides by 3; no reversal is necessary.

  16 > p . . . . . same answer as above, without the comparison reversal

What do we put in the first boxes

Answers

Answer:

What BOXES?

Step-by-step explanation:

Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.

Answers

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:

Germany, Italy, and Japan formed the Tripartite Pact in part because they:

Answers

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

Answer:

Wanted to support one another in conquering Europe and Asia

Step-by-step explanation:

Cole made a scale drawing of the elementary school. The scale he used was
1 centimeter : 2 meters. The school yard is 30 centimeters in the drawing. How wide is the
actual school yard?

Answers

Answer:

I think 60

Step-by-step explanation:

Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is

Answers

Answer:

4, 7 ,2

Step-by-step explanation:

For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!

Answers

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.

Answers

Step-by-step explanation:

i think its X=2.75

Gabby plans to make 30 bracelets to sell at the state fair. How long will it take her?
Do not include units (hours) in your answer.

Answers

Answer:

45

Step-by-step explanation:

10 braslets is 15 hrs

30=10*3

3*15=45 hrs


Which function is represented by the graph?

Answers

Answer:

f(x) = -2|x| + 1 aka the first option

Step-by-step explanation:

Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)

Answers

-3/4,-2/3,-5/12,1/3,1 1/4, 1 5/12 these are all in the correct order,

Answer:

Step-by-step explanation:

b/c fractions are confusing  :D,  put them all in 12th to make it easier

4/12,  -8/12,  -9/12,  -5/12,  1  3/12,  1  5/12

now stick them in order

-9/12,  -8/12,  -5/12 , 4/12 ,  1  3/12,  1  5/12

now put them back to reduced form

-3/4,    -2/3,    -5/12,   1/3 ,    1   1/4,   1 5/12  

:)  better?

I need help with my wirk

Answers

Answer:

50

Step-by-step explanation:

22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how  to really explain that well. But the answer is 50, trust me.

50

0.44x50 = 22
22/50=0.44

Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)

Answers

Answer:

(x-1)²/49 + (y+3)²/16.51 = 1

Step-by-step explanation:

vertex (8,-3)     Foci (6.7,-3)   center (h,k) = (1,-3) , major axis parallel to x axis

a  is the distance of the vertex from the center, and c   is the distance of the foci from the center. b is semi-minor axis

b² = a² - c²         Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1

a = 8-1 = 7         c = 6.7 - 1 = 5.7

b² = 7² - 5.7² = 16.51

Ellipse equation:  (x-1)²/49 + (y- -3)²/16.51 = 1  i.e. (x-1)²/49 + (y+3)²/16.51 = 1

What do you do to convert 0.02083 to 75 mph?

Answers

Answer: 120.7008 Kilometers per Hour

What is this slope of the liner function represented in the table -7 -1/7 1/7 7

Answers

Hmm. I’m not sure. Do you know how to do it? Try it first

Answer:

The answer is C and that idiot before me wasted a plot

Step-by-step explanation:

1) A store sold 350 bikes last year. This year, the store sold 272 bikes, what is the percent change in the
number of bikes sold last year to this year?
Answer: The percent change is?

Answers

Answer:

-22.3% or 22.3% less than the previous year

Step-by-step explanation:

350 - 272 = 78

78/350 = 22.3 to 3 significant figures

Graph the function.


f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answers

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

Use the scale factor to find the area of the enlarged figure. Explain your steps.


A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.

Answers

9514 1404 393

Answer:

  327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

  area = length · width

  area = (8)(4) = 32 . . . . square units

The scale factor is ...

  scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

  (32 units^2)(3.2^2) = 327.68 units^2

_____

Additional comment

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

  length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Which of the following shows two congruent triangles

Answers

Answer:

all of them

Step-by-step explanation:

all of them seem to have the same marks

but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense

The sum of three angle measures in a triangle is always 180°.

Answers

Answer:

YES IT IS RIGHT.......!

m over 8 minus 5 equal 12​

Answers

Answer:

m = 136

Step-by-step explanation:

m/8 - 5 = 12

1. Add 5 on both sides

m/8 - 5 + 5 = 12 + 5

m/8 = 17

Multiply 8 on both sides since u are trying to isolate the variable

m/8 * 8 = 17*8

m = 136

Check

136/8 - 5 = 12

17 - 5 = 12

12 = 12

Hope it helped!

Step-by-step explanation:

[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem

[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side

[tex]\frac{m}{8}[/tex] = 17 : Simplification

[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable

m = 136 : The answer!!!

Checking the answer

[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution

[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification

136 = 17 × 8 : Isolating the answer

136 = 136 : Success!!!

I hope this is what you wanted and I hope this helps!!!

johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?

Answers

Answer: Hope this helps, I think I did the right math if not I'm sorry

2/6 x 1/6 = 1/18

Step-by-step explanation:

A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can be built? What is its area?

Answers

Answer:

the Largest shed dimension is 13.5 ft by 13.5 ft

Largest Area is 182.25 ft²

Step-by-step explanation:

Given that;

Perimeter = 54 ft

P = 2( L + B ) = 54ft

L + B = 54/2

L + B = 27 ft

B = 27 - L ------------Let this be equation 1

Area A = L × B

from equ 1, B = 27 - L

Area A = L × ( 27 - L)

A = 27L - L²

for Maxima or Minima

dA/dL = 0

27 - 2L = 0

27 = 2L

L = 13.5 ft

Now, d²A/dL² = -2 < 0

That is, area is maximum at L = 13.5 using second derivative test

B = 27 - L

we substitute vale of L

B = 27 - 13.5 = 13.5 ft

Therefore the Largest shed dimension = 13.5 ft by 13.5 ft

Largest Area = 13.5 × 13.5 = 182.25 ft²

what is 3 times 3???​

Answers

Answer:

9

Step-by-step explanation:

3×3=9

3+3+3=9

Yeeeeejsndnnsjx

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