The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) ________. Group of answer choices
Answer:
The 90% confidence interval is [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean for men is [tex]\= x_1 = 64.5 \ years[/tex]
The sample mean for women is [tex]\= x_2 = 63.6 \ years[/tex]
The sample size for men is [tex]n_1 = 35[/tex]
The sample size for women is [tex]n_2 = 39[/tex]
The standard deviation for men is [tex]s_1 = 3.0[/tex]
The standard deviation for women is [tex]s_2 = 3.5[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]
=> [tex]SE = 0.7558[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.645 * 0.7558[/tex]
=> [tex]E = 1.2433[/tex]
Generally 90% confidence interval is mathematically represented as
[tex](\= x_1 - \= x_2) -E < \mu_1 - \mu_2 < (\= x_1 - \= x_2) -E [/tex]
=> [tex](64.5 - 63.6) -1.2433< \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]
=> [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100
3,5× 3 + 4 × 7 =3 8,5
46*4-42=143 46* 2- 4 2= 50
5,83+4*2=13,83 5,83+4*100=405,83
Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?
Answer:
2^4 x 5^3 x 70289
Step-by-step explanation:
16 x 125 x 70289=140,578,000
Anyone can answer?? if u can thank u soooo much it means the world to me
Answer:
Tulips• 7, 14, 21, 28 and 35.
Carnations• 3, 6, 9, 12 and 15.
Other:
Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!
What is the equation relating x and
y together?
y
1
2
3
4
5
25
23
21
19
17
y=-2x + [?]
Answer:
ommmm I have no idea Butt 1 of my fav numb is 17 so pick that
The cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”
Answer:69,420
Step-by-step explanation:
9+10=21
The price of a carton of milk is $1.00
The given parameters are:
Number of students, n = 18Option A = 8Since 8 chose option A, it means that 10 would choose option B
So, the equation that represents when both price are equal is:
[tex]8(2x + 0.5) = 10(x + 1)[/tex]
Where
2x + 0.5 represents the unit price of option A
x + 1 represents the unit price of option B
Open the brackets
[tex]16x + 4 = 10x + 10[/tex]
Collect like terms
[tex]16x - 10x = 10 - 4[/tex]
Evaluate the like terms
[tex]6x = 6[/tex]
Divide
[tex]x = 1[/tex]
Hence, the price of a carton of milk is $1.00
Read more about equivalent equations at:
https://brainly.com/question/2972832
convert 53 yards per hour into inches per day
1 yard = 36 inches.
53 yards per hour x 36 inches per yard = 1908 inches per hour.
1 day = 24 hours.
1908 inches per hour x 24 hours = 45,792 inches per day.
y = -8x – 3
x+y=7
Is (3, 4) a solution of the system?
Answer: the answer is no :)
Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book? (5 points) 6 hours 5 hours 60 hours 30 hours
Answer:
It is 60 hours
Step-by-step explanation: 30 pages = 6 hours
30 × 10 = 300
6 × 10 = 60
Answer:
60
Step-by-step explanation:
trust me
Merry Christmas please help
Answer:
All Of The Number At The Top
Step-by-step explanation:
Like Said, The Tables Functions f
So, Basically It's A Challenge,
All Of The Numbers In Row X From Above Table
I Hope You Found This Answer Helpful
Good Day
You'll Get 100% Don't Stress It✨
By: LocalLesMara
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
C. INTO SIXTHS
I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT
I HOPE I WASNT TOO LATE. IF I WAS, SORRY
The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
As per the given number line,
Since 1 is a whole number and 2 is also a whole number.
The number of intervals between 1 and 2 is 6.
Thus, between consecutive whole numbers divided on the number line is 6.
Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".
To learn more about the number line,
https://brainly.com/question/13189025
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pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
can u pls help me with this question
Hurry please
I need the answer to this one in 2 minutes
Answer:
125
Step-by-step explanation:
45 ÷9=5
5² or 5×5=25
25×5=125
Hope this helps!
Answer:
I THINK ITS
Step-by-step explanation:
5x(2025 ÷81)
5x25
125
How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)
9514 1404 393
Answer:
rotated vertices are (1, 1), (-2, -1), (-4, 0)
Step-by-step explanation:
When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
Then your rotated points become ...
A(-1, 1) ⇒ A'(1, 1)
B(1, -2) ⇒ B'(-2, -1)
C(0, -4) ⇒ C'(-4, 0)
_____
In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.
!!HELP!! What is q times 10?
Answer:
Q10. You just put them together because it's multiplying of a letter and a number
**I thought I answered this question yesterday, is this a deja vu or something**
can someone help me with this
Answer:0.98
hope this helps have a good day
Step-by-step explanation:
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
5+7t
Step-by-step explanation:
3t and 4t add together bc they are like terms
Answer:
9+2t
Step-by-step explanation:
5+4=9
3t-t=2t
HELP PLEASE!!
What is Y
Casey walked 2.1 miles to the grocery store. She then walked 0.5 miles to the post office and 0.8 miles to work. How far did she walk in total? Convert your answer into kilometers.
Answer:
3.4 miles and 5.472 kilometers
I need help please and thanks
Answer:
68 degrees
Step-by-step explanation:
1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.
Answer:
Angle 6 would be 68 degrees
Step-by-step explanation:
Angles 1, 3, 5, and 7 all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8
If 12 cookies cost $3 how much would it be for 9 cookies
A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in pach row?
A. 4
B 6
C. 8
D 12.
Answer:
B..im pretty sure
Step-by-step explanation:
First it cant be D because 12 x __ = 64. There is no whole number multiplied by 12 that equals 64. So cross that out. then it's not B because 6 x ___ = 64. So also cross that out. the only thing u have left is 4 and 8. Then u can cross out A because the group of students has to be the same number of rows. Which is 8 x 8 aka B. The answer is B
Answer:
B
Step-by-step explanation:
the cost for fudge at candy lane is represented by the table.the graph the cost for similar fudge that best fudge shop sell. a. the unit rate for fudge at candy lane to equal the unit rate at best fudge shop. B.the unite rate for fudge at best fudge shop is less than unit rate at candy lane. C.the unite rate for fudge at candy lane is less than the unit rate at best fudge shop. D cost 3 pounds of fudge at best fudge shop is less than the cost of a pound of fudge at sweet treats
Answer:
B
Step-by-step explanation:
The correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a table that shows the cost for fudge at candy lane. The graph represents the cost for similar fudge that best fudge shop sell.
The slope of straight line represented by the table -
m[1] = (16 - 8)/(2 - 1)
m[1] = 8
The slope of the line plotted on graph -
m[2] = (9 - 6)/(3 - 2)
m[2] = 3
The slope is the measure of unit rate. Therefore, the unit rate of best fudge is less than unit rate of candy cane.
The cost 3 pounds of fudge at best fudge shop = 3 x 3 = $9
The cost 1 pound of fudge at candy lane = $8
Hence, cost 3 pounds of fudge at best fudge shop is greater than the cost of a pound of fudge at sweet treats.
Therefore, the correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
To solve more questions on straight line graphs, visit the link below-
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[Refer to the image attached for table and graph]
1/6 foot = how many inches
please help if you have the right answer
Answer: 2 inches
Step-by-step explanation:
1 foot=12 inches
1/6=1/6 foot
12/6=2 inches in 1/6 foot
Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11
i need a step by step explanation
Answer:
1/2c-4
Step-by-step explanation:
First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.
Answer:
About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .
Step-by-step explanation:
hope this helps
what is the correct factorization of x^2 - 2x - 15?
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below
9514 1404 393
Answer:
1/192
Step-by-step explanation:
The properties of exponents useful here are ...
a^0 = 1 . . . . for a ≠ 0
a^-b = 1/a^b
__
[tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]