A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis against using a random sample of specimens. Calculate the P-value if the observed statistic is . Suppose that the distribution of the sample mean is approximately normal.
Complete question :
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.
Answer:
0.02275
Step-by-step explanation:
Given :
Population mean μ = 12
Standard deviation, σ = 0.5
Sample size, n = 4
Observed statistic, xbar = 11.5
H0 : μ = 12
H1 : μ < 12
The test statistic = (xbar - μ) ÷ σ/sqrt(n)
Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)
Test statistic = - 0.5 ÷ 0.5/2
Teat statistic = - 0.5 / 0.25 = - 2
Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.
We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail
Pvalue = 0.02275
Or
P(x < - 2) = 0.02275 (Z distribution table)
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
(a) Work out the total cost, in pounds, of the flights, the apartment and the car hire.
(b) If there had been more than 1.12 euros to £1, how would this affect your answer
to part (a)?
(2 part question; enter answers for (a) and (b) in the answer box below) *
(5 Points)
what is 5/6 of 3/4 ?
Answer:
Exact Form: 5/8
Decimal form: 0.625
Hope this helps
can u pls and this question
Answer:
C,32
Step-by-step explanation:
first do the brackets
(-4)*-8
negative cancelled by negative
then we get 32
Terri is trying to save $250 so she can buy a new surfboard . She has \$75 saved already and plans to save $45 per week . How many weeks will it take her to save up enough money to purchase a new surfboard ?
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
Name a set of supplementary angles
Answer:
AED and DEF
Step-by-step explanation:
Both on a straight line equal 180 degrees (90 + <E)
due in 3 min sum1 help
Answer: B
For a number to be in correct scientific notation, the first number or the decimal number has to be less than 10. In this case, 75.3 is not less than 10, hence it is the incorrect answer.
Answer: B
Step-by-step explanation:
Scientific notation usually writes as c x 10^n, where c is between 1 and 10. The coefficient of B 75.3 is greater than 10, and also is not in the range of 1 and 10, so b is used scientific notation incorrectly.
When would there be only four different equations for a set of math mountain numbers?
Answer:
Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe
Step-by-step explanation:
You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundredths(to the penny)?
Answer:
$2229.27
Step-by-step explanation:
tax rate: 10.25%
tax amount: $228.50
price before tax: x
10.25% of x = $228.50
0.1025x = 228.5
x = 228.5/0.1025
x = 2229.27
Answer: $2229.27
The chief guest was scheduled to arrive at 10: 30 am. He came late by 1 hr 20
mins. At what time did he arrive?
Step-by-step explanation:
the chef came at 11:50 pm/am hope this helps
10:30 + 1 h 20 mins — 11:50
He arrived at 11:50.
Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
Please help find z (use pic)
Answer:
i cant see it will you type it please!
What will a $160,000 house cost 8 years from now if the price appreciation for homes over that period averages 7% compounded annually?
Answer:
FV= $274,909.8
Step-by-step explanation:
Giving the following information:
Present value (PV)= $160,000
Interest rate (i)= 7%
Number of periods (n)= 8 years
To calculate the future value (FV) of the home, we need to use the following formula:
FV= PV*(1+i)^n
FV= 160,000*1.07^8)
FV= $274,909.8
pls help will give brainliest -
The rectangular floor of a classroom is 33 feet in length and 36 feet in width. A scale drawing of the floor has a length of 11 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer:
132 in^2
Step-by-step explanation:
Hey there!
so the first thing we want to do is find the scale factor
to do so we divide the actual length by the scale drawings length
33/11=3 so the scale factor is 3
then we divide the width by 3 to get the width of the scale drawing
36/3=12
now we can find the area of the scale drawing by multiplying the length and width
✓12*11=132
so the area of the scale drawing is
[tex]132 in^{2} [/tex]
what is the answer of 2+y=11
Answer:
9
Step-by-step explanation:
11 - 2 = 9
Answer: 9
Step-by-step explanation:
Minus 2 from both sides to make it equal.
2 + y = 11-2 -2y = 9Which of the following is the square of a binomial
A. 36x^2 - 4y^2
B. d^2 + e^2
C. m^2 - mn + n^2
D. p^2 - 2pr + r^2
Answer:
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
The only choice that has the form a² + 2ab + b² is D.
The square of a binomial is (p – r)². Then the correct option is D.
What is square binomial?The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.
Let's check the option D, we have
⇒ p² – 2pr + r²
We know that the formula a² – 2ab + b² = (a – b)², then we have
⇒ p² – 2pr + r²
⇒ (p – r)²
Then the correct option is D.
More about the square binomial link is given below.
https://brainly.com/question/12249986
#SPJ2
opirale answer.
) How many notebooks each child gets after distributing 72 notebooks to 3
children equally?
Find three solutions to the equation 2x+3y=12
Answer:
if x = 3, then y = 2
if x = 0, then y = 4
if x = 6, then y = 0
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
A line passes through the point (-4,9) and has a slope of
4.
Write an equation in point-slope form for this line.
Answer:
y = 4x - 7
Step-by-step explanation:
Given the following data;
Points (x, y) = (4, 9)
Slope, m = 4
To write the equation in point-slope form;
The equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
First of all, we would find the intercept c;
9 = 4*4 + c
9 = 16 + c
c = 9 - 16
c = -7
Next, we write the equation in point-slope form;
m = 4 and c = -7
y = 4x - 7
2. Ethan can blow 15 balloons in 20 minutes, Jun Wei
can blow 18 balloons in 25 minutes and Vishal
can blow 16 balloons in 21 minutes. Assuming that
all balloons are blown to the same size, who can
blow balloons at the fastest rate? I just can't understand how to simply the vishal one others I have done
Answer:
Vishal can blow ballons at the fastest rate.
Step-by-step explanation:
Assuming that all balloons are blown to the same size, who can blow balloons at the fastest rate?
To find who can blow ballons at the fastest rate, we divide the number of ballons blown by the number of minutes, and whoever has the highest ratio of ballons blown per minute can blow balloons at the fastest rate.
Ethan can blow 15 balloons in 20 minutes
15/20 = 0.75 ballons per minute
Jun Wei can blow 18 balloons in 25 minutes
18/25 = 0.72 ballons per minute
Vishal can blow 16 balloons in 21 minutes.
16/21 = 0.76 ballons per minute
Since he has the highest rate, Vishal can blow ballons at the fastest rate.
The table shows the linear relationship between the
number of ride tickets purchased and the total cost
for admission plus ride tickets at a carnival.
Which function can be used to find y, the total cost of
attending the carnival and purchasing x ride tickets?
Carnival Costs
A y = 25x + 8
Number of Ride
Tickets Purchased, x
Total Cost for
Admission plus Ride
Tickets, y
By = 8x + 25
o
$8
y = 8x +0.25
8
$10
16
$12
Dy = 0.25x + 8
24
$14
18-34
3
3
Answer:
C
Step-by-step explanation:
Y=8x + 0.25
♡ The Question/Task ♡
-Which function can be used to find y, the total cost of attending the carnival and purchasing x ride tickets?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be, y = 0.25x + 8!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
What is the volume of this rectangular prism, given the area of the base is 14
Answer:
Wow, I'm learning this in class right now lol, the answer is C, 42cm cubed.
Step-by-step explanation:
The formula for finding volume fo 3d shapes is area of base x height/length.
In this problem, they give you both of those. 14 x 3 = 42, so the answer is C.
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
help solve for x. round to the nearest tenth
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
Nancy made ice cream cones out of thin cookie dough. The cone has a radius of 2 inches and a height of 4 inches.
what is the volume of the cone in cubic inches
Answer:
16.755160819146 in3
Step-by-step explanation:
I did not know how much I have to round up to.. sorry about that
Answer: 50 inches
Step-by-step explanation: Using the formula for volume of a cylinder, you would substitute the height and radius in the formula and solve for volume. After multiplying with pie you get 50.2654 and when rounding to inches you’d get 50 cubic inches.
srry if this is incorrect
25h + 25 = c 15h + 40 = c
Answer:
c= 125/2
h= 3 /2
Step-by-step explanation:
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
Which expression is equivalent to x+2x+y+2y
3x3y
3x+3y
3+xy
6xy
Quadrilateral A'B'C'D'is the image of quadrilateral of ABCD under a rotation of about the origin (0,0)
a. -90
b. -30
c. 30
d. 90
Answer:
The answer is option is C
Step-by-step explanation:
In this problem we have a couterclockwise about the origin
sp
Verify
Option D
rotation 90 degrees counterclockwise
(x,y) -------> (-y,x)
so,
A(-2,3) ---------> A'(-3,-2) ---------> is not ok
therefore, the answer is option is C