A quality control expert at a drink bottling factory took a random sample of 9 bottles from a
production run of over 1,000 bottles and measured the amount of liquid in each bottle in the
sample. The sample data were roughly symmetric with a mean of 505 mL and a standard
deviation of 6 mL.
Based on this sample, which of the following is a 95% confidence interval for the mean
amount of liquid per bottle (in mL) in this production run?
Answers
Answer: It's in the screenshot
Step-by-step explanation:
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.
The other parameters are given as follows:
[tex]\overline{x} = 505, s = 6, n = 9[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61[/tex]
The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Related Questions
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answers
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
need help ASAP, please
Answers
Answer:
1) D. 343.17
2) C but not sure
Step-by-step explanation:
1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²
area of circle is πr²
area of semicircle is πr²/2
diameter=18
radius= 18/2=9
πr²/2 = (22/7* 9*9) / 2
=127.2 (approx)
total area = 127.2+ 216= 343.2
2) I dont know...I think C
Someone look at the photo and answer I need help
Answers
Step-by-step explanation:
To find the composite function, it says
[tex](f \: o \: g)(x)[/tex]
means we put the function g(x) into f(x) so that means it looks like
[tex]( \sqrt{x}) {}^{2} - 4[/tex]
Which equal
[tex]x - 4[/tex]
So that expression above is the answer.
To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).
The range of a g(x) which is a radical function is all real numbers.
The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.
This means for our function to work we can use any numbers as long as it greater than -4.
So we would represent that as x is all real numbers as long as x is greater than or equal to -4
In interval notation this would be
[-4,+ infintiy)
What is the perimeter of this trapezoid?
Answers
PLS ACTUALLY ANSWER
Answers
Answer:
The first and second do not but the third does because the third follows a pattern that would make sense numarically being every 2 positive numbers one negative is added but the first to dont follow a pattern that makes senseHope this helps
Answer:
Middle and far right one
Step-by-step explanation:
X values cannot repeat
please answer assapapapapppp
Answers
can someone please explain i am having a hard time with the math homework
Answers
Answer:
x= -1
Step-by-step explanation:
you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me
by what number should-15/56 be divided to get -5/6
pls pls pls pls I need your help
Answers
Answer:
The desired divisor is n = 21
Step-by-step explanation:
Let that number be n. Then:
-15/56 -5
---------- = ---------
n 6
Through cross-multiplication we get:
(-15/56)*6 = -5n, which reduces to:
(-15)(7) = -5n, or 3(7) = n
The desired divisor is n = 21
HELP ME ASAP!!!!!!!!!
friend request if the answer is correct plus you will get thanks, brainliest and a star rating of excellent! Good Luck!
Answers
Answer: A is 5 B is 6 C is 3
D is 7
Step-by-step explanation: I hope u get ur answer- and if I’m wrong plz tell me I took this lesson 2 days ago-
Answer:
Option:D
According to question,
Mass = m/3
Volume = 5*v
Density = mass/volume
=1/15*(m/v)
So its option D
Distance between -2 and 4 1/2
Answers
Answer:
6 1/2
Step-by-step explanation:
Distance is always positive
Add the absolute values of each of the numbers
|-2| + |4 1/2| = 2 + 4 1/2 = 6 1/2
jake invested $800 in a savings account at a 2.5% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest cent, the balance in the account after 2 years.
Answers
Answer:
$840.5
Step-by-step explanation:
x=800[tex](1.025)^{2}[/tex]
x=840.5
Find the value of x.
Answers
Answer:
68
Step-by-step explanation:
1) Find the interior angle using relations of angles in straight line I.e ( sum of angles in a straight line is 180 ) and we know the sum of all the interior angle of quadrilateral is 360 degree .
2) Solve further for x.
help me please can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please
Answers
Answer:
The person solving the problem first subtracted 6 from 15. Since the cube root is next to the six, the problem should be read as [tex]15-6(\sqrt[3]{\frac{-1000}{27} } )[/tex] rather than [tex](15-6)(\sqrt[3]{\frac{-1000}{27} } )[/tex].
To solve it correctly, first find the cube root of -1000/27: -10/3Next, multiply by 6: -20Finally, subtract from 15: 35please lmk if anything is wrong with my answer, hope this helps :)
Can you please answer this honestly no need for explanation
Answers
Answer:
angle 1 = 146
angle 3 = 146
Step-by-step explanation:
34 - 180= 146
Answer:
Angle 1= 34degree
Angle 3= 34degree
Help ASAP I’ll mark you as brainlister
Answers
The length of an arc AB from the given circle with radius 6in is 15.7in
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
where
r is the radius = 6in
theta is the central angle = 150 degrees = 5/6π rad
Substitute
L = 6(5/6π)
L = 5π
L = 5(3.14)
L = 15.7in
Hence the length of an arc AB from the given circle with radius 6in is 15.7in
Learn more on length of arc here: https://brainly.com/question/2005046
#SPJ1
Roy placed an order for 3/4 of a sack of brown lentils and 1/4 of a sack of green lentils. How much more brown lentils did Roy order?
Answers
Answer:
1/2
Step-by-step explanation:
brown sack = 3/4
1/4 green sack = 1/4
3/4 - 1/4
3 - 1 /4
2/4
1/2
PLEASE HELP MAX POINTS AND BRAINLIEST!!!Find the length of the longest nail that could fit entirely within a cylindrical can of radius 2 inches and height of 6 inches.
Answers
Answer:
a 7.2 inch nail
Step-by-step explanation:
using the Pythagorean theorem:
the diagonal distance of a 6" height and a 2" radius (4" diameter) would be:
D² = 6² + 4² = 36 + 16 = 52
D = √52 = 7.21 inches
Find diagonal that's the answer
Use Pythagorean theorem
H²=P²+B²H²=6²+(2+2)²H²=36+16H²=52H=√52Helpam in fourth I don't know how to do this :(
Answers
Answer:
Step-by-step explanation:
4/1000=0.0004
200/10= 20
8/100=0.08
30/100=3
7/1000=0.0007
6/10=0.6
what value of n make this equation true 12(n+6)=96
Answers
Answer:
2
Step-by-step explanation:
(6+2)x 12 =96
Answer:
2
Step-by-step explanation:
12(2+6)=96
12×8=96
I need 20 characters so yeah. Have a great day.
please i need the answer
Answers
Answer:
12m i think
Step-by-step explanation:
Answer: If it is finding area the answer the area is 9216m if it is perimeter and I believe it is then the perimeter is 40m
Wich scientific notation is correct?
Answers
What is the surface area of the cone? Express your answer in terms of π.
Answers
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
Answer:
If you want just the area of the circle (the surface area) then it is 78.5
Step-by-step explanation:
radius=5
[tex]5^{2} =25[/tex]
π=3.14
25×3.14= 78.5
The length and width of a rectangle are 4 feet and 3 feet, respectively. A similar rectangle has a width of 9 feet. What is the length of the second rectangle? A. 9 ft C. 14 ft B. 12 ft D. 16ft
Answers
Louis's mother sent him to the grocery store with $20. she told him to purchase a 16 oz tub of cream cheese and use the rest of the money to purchase fresh bagels from the bakery. The cost of the 16 oz tub of cream cheese is $5.98 and each bagel costs $1.99. I will give brainliest
A.)Write an inequality that can be used to determine how many bagels, Louis can buy.
B.)Using your inequality, algebraically determine the number of bagel Louis can buy.
C.)Louis says that he can buy 8 bagels. Based on your solution to the inequality, explain if louis can or cannot purchase 8 bagels.
Answers
Answer:
c
Step-by-step explanation:
A
B
She can buy 5-6
C
Louis cannot purchase the bagels because she does not have enough money
?
Answers
It’s a, no solutions
what theorem is this
sss,sas,asa,aas,hl, or not enough info
Answers
i need the area of this shape the top is a triangle the bottom is a square
Answers
Answer:
Area = 146.75 m^2
Step-by-step explanation:
Triangle:
a = 1/2bh
a = 1/2 x 10 x 9.35
a = 46.75
Square:
a = lw
a = 10 x 10
a = 100
46.75+100 = 146.75
I need help with the question
Answers
What is the volume of the cylinder below? Write your answers in terms pi
Hight 11.5cm
radius 6cm
Answers
Answer:
1,300.6224 cm2
Step-by-step explanation:
V=Abxh
V= 113.0976 cm2 (11.5 cm)
V= 1300.6224 cm2
but first the area of the base is calculated:
Ab= πr2
Ab=3.1416(6)2
AB= 3.1416(36)
Ab=113.0976 cm2
What are the coordinates of the image of the point after a dilation by a scale factor of 3 with the origin as the center of dilation, followed by a translation over the -axis?
Answers
Answer:
Step-by-step explanation:
3x