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.
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
You spend $75 on a meal including tax and want to leave a tip that is 20% of the $75. What is the total cost, with the tip? The cost of your meal, with the tip, is $(answer)
Answer:
The total cost = $90
Step-by-step explanation:
As, $75 is the cost of the meal
And tip is 20%
So 20% of $75 = 15
So, the tip = $15
So, total = Cost of meal + tip
= $75 + $15 = $90
An 8-ounce cup of gourmet coffee costs $4.96.
If the unit price remains the same, how much
would a 12-ounce cup of gourmet coffee cost?
Plz help
What is the slope of a line parallel to the line 2x + 3y = 5?
i think its 2/3 but im not sure .
Answer:
D
Step-by-step explanation:
Parallel lines have same slope
Write the equation in slope - intercept form
2x + 3y =5
3y = -2x + 5
Divide the equation by 3
[tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]
So, slope = (-2/3)
33 is what percent of 200
Help ASAP
Answer:
16.5
Percentage Calculator: 33 is what percent of 200? = 16.5.
In 1850, there were 564 textile mills in New England states with a total of 61,893 workers. The average wmployment per textile mill was ?
Answer Choices
109
110
108
111
find the measure of the angle
Answer:
2 = 74
1 = 106
Step-by-step explanation:
none
Lena purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card.
Lena used her card only once to make a long distance call. If the remaining credit on her card is S18.04, how
many minutes did her call last?
|minutes
?
Answer:
havenche ai polld pener es quanto
Step-by-step explanation:
Convert y = 8x2 + 128x + 48 to vertex form by completing the square. Choose the
correct equation,
Answer:
y=8(x+8)^2-464
Step-by-step explanation:
hope this helps
simplify −k−(−8k+7) to create an equivalent expression
Answer:
7k - 7
Step-by-step explanation:
-k - (-8k + 7)
= -k + 8k - 7
= 8k - k - 7
= 7k - 7
Please help me answer this !!
Explain your answer !!!
I will give brainlst
Any amount of rotation will not change the angle between the two spokes. This is because each piece of the wheel moves in unison as the rotation is applied. Nothing changes about the wheel. Imagine instead of rotating the wheel, we instead rotated the camera that is capturing the wheel (or the person looking at the wheel rotates their head). This is a good way to see how the wheel itself isn't changing at all, but instead rather just the look of it is changing.
72 = –6(y + 37)
plz help
Answer:
-49
Step-by-step explanation:
you can first divide both sides by -6
so
-12 = y+37
so y = -12-37 = -49
complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y= ????
Answer:
y = -2x - 8
Step-by-step explanation:
Slope-intercept form is y = mx + b. Slope is m, and y-intercept is b. To do this, we substitute -2 for m and -8 for b. When we do this, we get y = -2x + -8. We can simplify this to y = -2x - 8.
What is the least common denominator of 1/4 and 7/9
Answer: It is 36
Step-by-step explanation:
Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)
Answer:
D
the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x
3(8 + 3x) is not equivalent to 24 + 6x.
Option D expression is not equivalent to 24 + 6x.
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
According to the question
Expression is NOT equivalent to 24 + 6x
A . 2(3x + 12)
= 2(3x) + 2(12)
= 6x + 24
= 24 + 6x
B. 28 + 4x – 4 + 2x
= (28 - 4) + (4x + 2x)
= 24 + 6x
C. 5x + 7 + x + 17
= (5x + x) + (7 + 17)
= 6x + 24
= 24 + 6x
D. 3(8 + 3x)
= 3(8x) + 3(3x)
= 24 + 9x
Hence, Option D is not equivalent to 24 + 6x.
3(8 + 3x) is not equivalent to 24 + 6x.
Find out more information about expression here
https://brainly.com/question/19131200
#SPJ2
Which graph represents y = √ X
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
Seventh grade
AA.5 Area of circles YA8
The radius of a circle is 9 feet. What is the circle's area?
Use 3.14 for .
square feet
Submit
Answer:
A=pi x r^2
A= 3.14 x 9^2 feet
A= 3.14 x 81 feet^2
A= 254.34 ft^2
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the sale price of the set of chairs?
Answer:
127.5
Step-by-step explanation:
0.25*170 then take away from 170
$127.5 was the sale price of the set of kitchen chairs.
Given:
Camille bought a set of kitchen chairs at discounted 25% off of the original price.
The original price of a set of kitchen chairs = $170
To find:
The sale price of the set of kitchen chairs.
Solution:
The original price of a set of kitchen chairs = O.P = $170
The percent of discount on the set of kitchen chairs = d% = 25%
The discount price on the set of kitchen chair= D
[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]
The sales price of a set of kitchen chairs = S.P
[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]
$127.5 was the sale price of the set of kitchen chairs.
Learn more about the discount price here:
brainly.com/question/1352508?referrer=searchResults
brainly.com/question/339653?referrer=searchResults
What is the slope of the line shown below
Answer:
it's C
Step-by-step explanation:
please mark me as brainliest thank you
Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
pls help I will give brain list to first
Answer: y= 3
Step-by-step explanation:
Step 1: Add y to both sides.
y + 3 = −y + 9
+y +y
2y + 3 = 9
Step 2: Subtract 3 from both sides.
2y+3 = 9
-3 -3
2y = 6
Step 3: Divide both sides by 2.
2y = 6
2 = 2
y= 3
y
is inversely proportional to
x
.
When
y
=
4
,
x
=
16
Work out
y
when
x
=
8
Answer:
y inversely proportional to 1/x
y=4, x=16
4=k/16
k=64
find y when x=8
y=64/8
y=8
anyone ?mknwonthisssss
60 sixth grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Answer:
240
Step-by-step explanation:
25% =1/4
if 1/4 of class is 60, the class have 60x4 students
Solve for x
4^x/9^x=½
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Solve for w. -34=-6+w/4
Answer:
w=−112
Step-by-step explanation:
-34=-6+w/4
Simplify both sides of the equation.
−34=−6+ w /4
−34=−6+ 1 /4 w
−34= 1 /4 w−6
Flip the equation.
1 4/ w−6=−34
Add 6 to both sides.
1 /4 w−6+6=−34+6
1 /4 w=−28
Multiply both sides by 4.
w=−112
Answer:
w = - 112
Step-by-step explanation:
-34=-6+w/4
1. Add 6 on both sides
-34 + 6 = -6 + 6 + w/4
-28 = w/4
2. Multiply 4 on both sides since it's the opposite of dividing
-28 * 4= w/4 * 4
- 112 = w
Hope this helped!
In the equation 30x = 21, x = 9
A. True
B. False
Step-by-step explanation:
30x=21
x=21/30
x=7/3
x=0.7
so, its false
hope it may help you
Help me please I'm bad at geometry
Billy purchased four more oranges than apples. Apples cost 30 cents each and oranges cost 50 cents each. Billy
spent a total of $3.60. Write an equation, to find how many apples, a, he purchased.
Answer:
0.30a + 0.50 (4+a) = 3.60
Step-by-step explanation:
4.02>4.1 TRUE OR FALSE
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation: