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)
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
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
Which expression is equivalent to x+2x+y+2y
3x3y
3x+3y
3+xy
6xy
Factor the following: 28 W + 12J
7 (9W + 3J)
4 (7W + 3)
2 (12W + 5)
I need these too NOW LOL
Step-by-step explanation:
https://youtu.be/e7WGZHTZm0I
Answer:
Answervis 4(7W+3)
Step-by-step explanation:
I hope it's helpful!
Which data point is an outlier in this graph?
(A) (5,-3)
B) (3,5)
© (-5,3)
D (3,-5)
Answer:
idel
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5, -3 is not near the other dots making it an outlier
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
In circle B with the measure of minor arc AC= 84°, find m
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°
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:
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.
Rewrite the expression by factoring out (y-2).
3y?(y-2)-2(y-2)
Answer:
− y =3 y
Step-by-step explanation:
Simplify
2
−
(
y
+
2
)
.
Tap for more steps...
−
y
=
3
y
Move all terms containing
y
to the left side of the equation.
Tap for more steps...
−
4
y
=
0
Divide each term by
−
4
and simplify.
Tap for more steps...
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
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.
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
Fill in the blank:
Suppose W is a subspace of ℝ5, and suppose that e1,e3∈W, but e2,e4,e5∉W.
What is the strongest statement we can make about the dimension of W:
The dimension of W is at least ____ and at most ____.
(I tried, the answer is not 1 and 2)
you play free fire
Step-by-step explanation:
yes/no
Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.
(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
Answer:
80%
Step-by-step explanation:
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)
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 = 9
In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did
Avery run?
Answer:
0.16km
Step-by-step explanation:
Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km
Please help find z (use pic)
Answer:
i cant see it will you type it please!
Dicken's Hardware sells incandescent and CFL light bulbs. Yesterday they sold 18 incandescent bulbs and 24 CFL bulbs for total sales of $132.
Part A: Let x represent the cost of an incandescent bulb and let y represent the cost of a CFL bulb. Write an equation or inequality to represent the situation. Explain how you decided to use an equation or inequality.
Part B: A CFL bulb cost $4. Use this information and your equation or inequality from part a to find the cost of an incandescent bulb. Show your work and explain what your answer means in the context of the problem.
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 ?
Which expression has the same value as 12^2
25h + 25 = c 15h + 40 = c
Answer:
c= 125/2
h= 3 /2
Step-by-step explanation:
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!
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)
Is negative 5 less than |5|
Answer:
Yes
Step-by-step explanation:
Is negative 5 less than |5|?
-5 < |5|
Or -5 < 5
The circumference of a circle is 15 units. How many units long is its diameter?
Answer:
diameter = 4.78 units
Step-by-step explanation:
15/3.14 = 4.78 units
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
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