Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)
Given the data :
225 240 215 206 211 210 193 250 225 202The confidence interval is defined as :
Since, sample size ls less than 30 we use a t-distribution table :
[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]
Zcritical = [tex]t_{0.05/2, 9} = 2.26 [/tex] n = sample size = 10Using a calculator :
Mean, [tex]\bar{x} = 217.7 [/tex] Standard deviation, σ = 17.49Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]
Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]
Therefore, the confidence interval is (205.20 ; 230.20)
Learn more :https://brainly.com/question/25173276
The confidence interval is simply a range that contains the true mean of the population
The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
The given parameter is:
[tex]\mathbf{n = 10}[/tex]
Start by calculating the degree of freedom
[tex]\mathbf{df = n - 1}[/tex]
[tex]\mathbf{df = 10 - 1}[/tex]
[tex]\mathbf{df = 9}[/tex]
Next, calculate the mean
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]
[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]
[tex]\mathbf{\bar x = 217.7}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]
[tex]\mathbf{\sigma = 17.49}[/tex]
Calculate the standard error
[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]
[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]
[tex]\mathbf{SE = 5.53}[/tex]
At 95%, df = 9. the t-value is:
[tex]\mathbf{t= 2.262}[/tex]
So, the confidence interval is:
[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]
So, we have:
[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]
Split
[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]
[tex]\mathbf{CI = (205,19, 230.20)}[/tex]
Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
Read more about confidence intervals at:
https://brainly.com/question/2396419
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1.) 1 ,2, 31, 62
2.) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1.) 1x62= 62
2x31= 62
31x2= 62
62x1=62
Each of these number are a multiple of 62.
2.) 1x45=45
3x15=45
5x9= 45
9x5= 45
3.) 420÷2= 210
420÷3= 140
420÷5= 84
420÷6= 70
420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420
540÷2= 270
540÷3= 180
540÷5= 108
540÷6= 90
540÷9= 60
540÷10= 54
2, 3, 5, 6, 9 and 10 is divisible by all of these numbers
Answer:
1) 1 ,2, 31, 62
2) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1) 62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.
2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.
3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list. The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.
-kiniwih426
Please help me out! View the image below!
Answer:
y=-2x+1
Step-by-step explanation:
Look at the photo i think
Can someone help me with number 5 :((
Help
help please please
Answer:
1. A
2. C
Step-by-step explanation:
I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day
If m∠ P = (19x -5) ∘ and Angle P is a right angle, find the value of x;
Answer:
the value of x= 5
Step-by-step explanation:
hey there!
given;
∠P=90°( right angle)
now;
∠p=19x-5
90°+5°=19x
95/19=x
x=5
hope it helps!
Please Help me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x+6y= -36
What’s the mean, variance and standard deviation
Answer:
Step-by-step explanation:
binomial distritubtion
mean= n*p
.23*300= 69
variance= n*p*(1-p)
.23*300*(1-.23)=53.1
standard deviation= sqrt(variance)
sqrt(53.13)= 7.3
Can someone please help me !!!!
Answer:
Step-by-step explanation:
i think its the third one..
create a bar diagram to show 3 plus 5
Answer:
Can't answer
Step-by-step explanation:
I need more information to help you...
Could you please add a pic or screenshot for me to help?
Can someone please show me y=2x-2 and x=4 on a graph please. ( IF U CAN PLEASE SHOW ME WHERE THE LINES GO THROUGH EACH OTHER ON A GRAPH)
Which of the following statements must be true based on the diagram below? Select all that apply.( diagram not to scale)
ST is an angle of bisector
The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?
Answer:
434 sweatshirts were sold
Step-by-step explanation:
$2,170/$5 = 434
Use the given frequency table to find mean, median,mode,and range.
Answer:
Mode:6
median: 5.5
mean: 5.25
range : 2
Step-by-step explanation:
can somebody help me with number 26 please? Giving brainliest!!
Answer:
Ans 26
Step-by-step explanation:
F(x) = x/2
proof:
at x=0, f(x)=0
at x= -2 , f(x) = -1
and x = -4 , f(x) = -2
that's it.
Line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)
a
1 unit
b
2 units
c
3 units
d
5 units
Answer:
5 units
Step-by-step explanation:
2+3=5
1. The weight of a newborn animal is given by the formula W = 3d + 9, where W is the weight
in grams and d is the number of days since hatching.
(a) What is the independent variable?
(b) What is the dependent variable?
(c) What will the weight of the newborn animal be 3 days after it hatches?
what is 0.0000128 as a fraction
Answer:
128/10000000 Mark Brainliest Please
Step-by-step explanation:
What is 0.0000128 as a fraction?
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
Answer:
128/10000000
Step-by-step explanation:
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
(Hope this helps can I pls have brainlist (crown)☺️)
help rn please!! I’ll mark as brainliest for the first person to answer
Simplify
[tex] \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} [/tex]
CORRCET ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+RECEIVE 34 POINTS
Thanks xx
ppls answer correct for a brainliest answer and points.
Answer:
12y + 2y² or 2y² + 12y
Step-by-step explanation:
4(2y + 3y) becomes 8y + 12y:
4 × 2y = 8y4 × 3y = 12yy(2y - 8) becomes 2y² - 8y:
y × 2y = 2y²y × -8 = -8y8y + 12y + 2y² - 8y = 12y + 2y² (the 8y's cancel out)
Answer: 12y + 2y² or 2y² + 12y
Hope this helps!
Sweaters a Target have an original price of $28. Spring is coming so Target puts those sweaters on sale fo $21.
What is the discount amount? $
What is the percent of discount?
Answer:
7 & 75%
Step-by-step explanation:
28 - 21 = 7
Discount amount - 7
Find the percent of discount now:
21:28*100 =
(21*100):28 =
2100:28 = 75
Use the diagram to find the length
Answer:
25 is the answer.....
25 is the answer
WILL MARK BRAINLIEST!
Identify if the polynomial is a monomial, binomial, trinomial or multinomial.
Answer:
multinomial
Step-by-step explanation:
polynomial are equal to multinomial
maths surface solving
Answer:
144 cm²Step-by-step explanation:
6 * 8 + 10 * 4 + 8 * 4 + 6 * 4 =
48 + 40 +32 + 24 =
144 cm²
If 40 meters of a cloth costs Rs 1940 how many meters can be bought for Rs 727.5
Plz explain
Answer:
15
Step-by-step explanation:
suppose x is the no. of cloth that can be bought in rs 727.5
then cost of 1meter cloth is rs 727.5×.....(i)
and cost of 40mtr cloth is rs 1940
then 1mtr cloth is 1940/40....(ii)
so from i and ii
we get
727.5/x = 1940/40
True or False
An example of an annual expense would be electricity because you receive a bill each month.
Answer:
True
Step-by-step explanation:
There is a raffle at a hockey game and 125 tickets are sold. Maris bought 3 tickets. What percent of the tickets
does Maris have?
Answer:
2.4%
Step-by-step explanation:
Answer:
2.4 percent
Step-by-step explanation:
PLEASE HELP. WILL GIVE A BRAINLY. What is the range of the function?
Answer:
c is the correct option.
Step-by-step explanation:
The graph curves at y = -2 and above thus for the range of the graph is c.
not sure how to do this, could use some help. : )
Answer:
The GCF equal;
[tex] {x}^{3} y {z}^{2} [/tex]
I hope I helped you^_^
someone please help me!
Show all work to factor x4 − 5x2 + 4 completely.
Step-by-step explanation:
=>x⁴-5x²+4
=>x⁴-x²-4x²+4
=>x²(x²-1)-4(x²-1)
=>(x²-1)(x²-4)
=>(x+1)(x-1)(x+2)(x-2)
hope this helps you.