A company produces product with a mean weight of 10 and a standard deviation of 0.200. A new process supposedly will produce products with the same mean and a smaller standard deviation. A sample of 20 products produced by the new method has a sample standard deviation of 0.126. At a significance level of 10%, is it appropriate to conclude that the new process is less variable than the old?

Answers

Answer 1

Answer:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

Step-by-step explanation:

Information given

[tex]n_1 = 10 [/tex] represent the sampe size old

[tex]n_2 =20[/tex] represent the sample size new

[tex]s_1 = 0.2[/tex] represent the sample deviation for old

[tex]s_2 = 0.126[/tex] represent the sample deviation for new

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to test

We want to test if the new process is less variable than the old, so the system of hypothesis are:

H0: [tex] \sigma^2_1 \leq \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 >\sigma^2_2[/tex]

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.


Related Questions

Solve for a.
ab +c= d.

Answers

Answer:

  a = (d -c)/b

Step-by-step explanation:

Undo the addition of c, by subtracting c.

  ab +c -c = d -c

  ab = d - c

Undo the multiplication by b, by dividing by b.

  ab/b = (d -c)/b

  a = (d -c)/b

A card is drawn at random from a standard 52-card deck. Find the following probabilities: (2 points) a. The probability the card is a diamond or a face card. (2 points) b. The probability that the card is neither an ace nor a heart. (2 points) c. The probability that the card is a face card or a 3

Answers

Answer:

(a)[tex]\dfrac{11}{26}[/tex]

(b)[tex]\dfrac{9}{13}[/tex]

(c)[tex]\dfrac{4}{13}[/tex]

Step-by-step explanation:

Number of cards in a Standard Deck=52

(a)

Number of Diamonds (D)=13

Number of Face Cards(F) = 12

Number of Diamonds that are face cards = 3

[tex]Pr($that the card is a diamond or a face card)=P(D)+P(F)-P(D \cap F)\\=\dfrac{13}{52} +\dfrac{12}{52} -\dfrac{3}{52} \\=\dfrac{22}{52} \\=\dfrac{11}{26}[/tex]

(b)The probability that the card is neither an ace nor a heart.

Number of Aces (A)=4

Number of Hearts(H) = 13

Number of Hearts that are Aces = 1

[tex]Pr($that the card is a Ace or a Heart), P(A \cup H)=P(A)+P(H)-P(A \cap H)\\=\dfrac{4}{52} +\dfrac{13}{52} -\dfrac{1}{52} \\=\dfrac{16}{52} \\$Therefore, probability that the card is neither an ace nor a heart.\\=1-P(A \cup H)\\=1-\dfrac{16}{52}\\=\dfrac{36}{52}\\=\dfrac{9}{13}[/tex]

(c)The probability that the card is a face card or a 3

Number of 3 cards(T)=4

Number of Face Cards(F) = 12

[tex]Pr($that the card is a three or a face card)=P(T)+P(F)\\=\dfrac{4}{52} +\dfrac{12}{52} \\=\dfrac{16}{52} \\=\dfrac{4}{13}[/tex]

Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod.

Answers

Answer:

b. The engineer who weighed the rod 25 times.

Step-by-step explanation:

Hello!

Full text:

Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod.

Suppose the engineers construct a 90% confidence interval for the true length of their rods. Whose interval do you expect to be more precise (narrower)?

a. Both confidence intervals would be equally precise.

b. The engineer who weighed the rod 25 times.

c. The engineer who weighed the rod 20 times.

X₁: Length of an eastern rod of the Bay Bridge

n₁= 25

X₂: Length of a western rod of the Bay Bridge

n₂= 20

Both Engineers will use their samples to estimate the population average length of the rods using a 90% CI.

Assuming the standard normal distribution, the confidence interval will be centered in the estimated mean.

X[bar] ± [tex]Z_{1-\alpha /2}[/tex]*(σ/√n)

And the width is determined by the semi amplitude:

↓d= [tex]Z_{1-\alpha /2}[/tex]*(σ/√↑n)

As you can see the sample size has an indirect relationship with the semi amplitude of the interval. This means, when the sample size increases, the semi amplitude decreases, and if the sample size decreases, the semi amplitude increases. Naturally this is leaving all other elements of the equation constant, this means, using the same confidence level and the same population standard deviation.

Since the first engineer took the larger sample, he's confidence interval will be narrower and more accurate.

Hope this helps!

What is the length of the line?

Answers

Answer:

B) 5

Step-by-step explanation:

The points are (2,2) and (6,5). Subtract both Y's and X's and then square the answers and add. you should get 25, which has a square root of 5.

ASAP
What is the sum of 16.87 + (–98.35)?
–115.22
–81.48
81.48
115.22

Answers

Answer:-81.48

Solution,

16.87+(-98.35)

=16.87-98.35

= -81.48

Hope it helps

Good luck on your assignment

Answer:-81.48

Step-by-step explanation:

16.87 + (–98.35)

-81.48

If you stumble in other questions like there you can use a calculator or ask me. :D hope that helps

-5,-20,-80 find the common ratio

Answers

Answer:

The common ratio is 4

Step-by-step explanation:

To find the common ratio take the second term and divide by the first term

-20/-5 = 4

To verify take the third term and divide by the second

-80/-20 = 4

The common ratio is 4

Answer:

4

Step-by-step explanation:

To find the common ratio, divide one term by the term before it.

-20 ÷ -5 = 4

-80 ÷ -20 = 4

Each number is multiplied by 4 to get to the next number.

I hope this helps :))


What’s the correct answer for this question?

Answers

Answer:

B

Step-by-step explanation:

In the attached file

Plastic knives are sold in packs of 15 for 32p. Plastic forks are sold in packs of 12 for 43p. Sam wants to buy the same number of forks as knives. What is the least amount of money Sam will be able to spend?

Answers

Answer:£3.43

Step-by-step explanation:

Find the lowest common multiple of 15 and 12.

Which is 60.

15×4=60 so 32x4=£1.28

12x5=60 so 43x5=£2.15

2.15+1.28= £3.43

11+11 = 4 22+22 = 16 33+33 = ?

Answers

Answer:

36

Step-by-step explanation:

11*11=4

(1+1)*(1+1)=4

2 * 2 = 4

22*22=16

(2+2)*(2+2)=16

4 * 4 = 16

33*33=?

(3+3)*(3+3)=?

6 * 6 = 36

So the answer is 36

Series: 4, 16, 36

Answer: The answer is 36 :)

hope that helped

This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

(0,34)

Step-by-step explanation:

I graphed the coordinates of the table on the graph below to find the y-intercept.

A copy machine makes 147 copies in 5 minutes an 15 seconds how many copies does it make per minute

Answers

Answer:

28

Step-by-step explanation:

number of copies done in 5 minute 15 seconds = 147

60 seconds is equal to 1 minute

1 second is equal to 1/60 minutes

therefore 15 seconds is equal to 1/60 * 15 minutes = 1/4 minutes

thus,

number of copies done in 5 1/4 minute = 147

number of copies done in 1 minute = 147/ 5 1/4   (as 147/21 = 7)

                                                = 147/ (21/4) = 7*4 = 28

Thus, A copy machine makes 28 copies in 1 minute.

Factorizar e indicar cuántos factores primos tiene -3+3x^2+y-x^2*y-y^2+x^2*y

Answers

the answer is -3+3x2+y-y2

Find the measure of angle b

Answers

Answer: The measure of angle B is 31 degrees.

Step-by-step explanation:

180 -149 = 31

Answer:

31 degrees

Step-by-step explanation:

We can see that 149 degrees and b are on a line. If they are next to each other they are called adjacent angles. There is a rule that adjacent angles add up to 180 degrees. So we subtract 149 from 180 and we get 31 degrees for angle b.

Hope this helps! :)

4(x – 2 + y)
What the answer

Answers

Answer:

4x -8 +4y

Step-by-step explanation:

Distribute

4(x – 2 + y)

4*x -4*2 +4*y

4x -8 +4y

Which graph has the parent function 1/x?

Answers

Answer:

The graph of parent function [tex]f(x)=\frac{1}{x}[/tex] is a hyperbola.

Step-by-step explanation:

A rational function is described as the fraction of polynomials, where the denominator has degree of at least 1 .

Or it can be said that there must be a variable in the denominator.

The general form of a rational function is:

[tex]\text{Rational Function}= f(x)=\frac{p(x)}{q(x)}[/tex]

In this case the parent function provided is: [tex]f(x)=\frac{1}{x}[/tex].

The function is rational.

The graph of parent function [tex]f(x)=\frac{1}{x}[/tex] is a hyperbola.

The graph is attached below.

Which graph represents the solution set for
-X2 + 8x - 12 > 0?

Answers

Answer:
Here is how it should be graphed.

Answer:

B

Step-by-step explanation:

PLZ PLZ HELP ME I NEED THIS FOR ONE OF MY FIANLE ASSIGNMENTS OF THE YEAR AND WHOEVER ANSWERS CORRECTLY WILL GET BRAINLEST

Answers

5×4=20 is closer to 24.9344.

[tex]487 \times 512=24.9344[/tex]

Let's try placing the decimals after the hundreds place.

[tex]4.87 \times 5.12=24.9344[/tex]

It works.

There is more than one possibility.

[tex].487 \times 51.2=24.9344[/tex]

[tex]48.7 \times .512=24.9344[/tex]

M is the midpoint of st. Sm= 3x+16 and MT = 6x+4. Find the length of SM.

Answers

No figure required.  If M is the midpoint of ST then SM=MT or

3x + 16 = 6x + 4

12 = 3x

x = 4

SM = 3(4)+16=28

Answer: 28

The average score of all golfers for a particular course has a mean of 70 and a standard deviation of 3.5. Suppose 49 golfers played the course today. Find the probability that the average score of the 49 golfers exceeded 71.

Answers

i don’t know the answer to that sorry

If a graphical solution to a linear equation
results in the point of intersection (8. 13), then
the solution to the equation is _____​

Answers

Answer:

The solution to the equation is (8,13).

Step-by-step explanation:

A linear system of equations is composed by two lines.

The solution of the system is the point where the two lines intersect, that is.

In this question:

Point of intersection (8,13).

So

The solution to the equation is (8,13).

For circle O, and m∠ABC = 55°. In the figure, ∠ and ∠ have measures equal to 35°.

Answers

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

Step-by-step explanation:

Measure of arc AD = 180-measure of arc CD= 180-125 =55

m<AOB= 55 ( measure of central angle is equal to intercepted arc)

<OAB= 90 degrees (Tangent makes an angle of 90 degrees with the radius)

In triangle AOB ,

< AB0 = 180-(90+55)= 35 degrees( angle sum property of triangle)

In triange BOC ,< BOC=125 ,

m<, BCO=35 degrees

Answer:

∠ABO and ∠BCO

Step-by-step explanation:

what is 3 43/ 100 as a decimal number.

Answers

Answer:

3.43

Step-by-step explanation:

3 is the whole number and 43 out of 100 is a standard fraction that can simply be stated as 0.43. Hope this helps!

Answer:

3.43

Step-by-step explanation:

Used calculator.

Which table represents a relation that is not function


Please urgent

Answers

The Correct answer is 2

Pernyataan berikut yang benar adalah ....


A. Garis bagi membagi sisi menjadi dua sama panjang
B. Garis bagi membagi sudut menjadi dua sama besar
C. Garis berat membagi sudut menjadi dua sama besar
D. Garis tinggi membagi sudut menjadi dua sama besar

Answers

the answer is B hope this helps have a good day!

The ratio of blue to red cars in a car park are 3:2 what percentage of cars are red? and blue?

Answers

Answer:40%

Step-by-step explanation:

For every 5 cars two are red. Percentage of red cars to blue is 2/5 * 100 = 40%

2. {5.0A.A.1, 5.0A.A.2} Write an expression to show....the product of eight
and two, minus the product of three and four. *​

Answers

Answer:

[tex]\left ( 8\times 2 \right )-\left ( 3\times 4 \right )[/tex]

Step-by-step explanation:

Given: The statement is ' the product of eight  and two, minus the product of three and four'

To find: expression for the given statement

Solution:

An algebraic expression is an expression consists of coefficients, variables, and the arithmetic operations.

Product of eight  and two = [tex]\left ( 8\times 2 \right )[/tex]

Product of three and four = [tex]\left ( 3\times 4 \right )[/tex]

Therefore,

Product of eight  and two, minus the product of three and four = [tex]\left ( 8\times 2 \right )-\left ( 3\times 4 \right )[/tex]

Graph y < x2 + 4x. Click on the graph until the correct graph appears.

Answers

Answer:  The correct answer is:  

_________________________  

The given "graph" in the bottom right, lowest corner

Step-by-step explanation:

_________________________

Note:  When there is only one (1) equation give for a graph;

          and/or:  only one (1)  "inequality given";  

         we  look for the symbol.

If the symbol is "not" an "equals" symbol (i.e. not an:  =  symbol) ;

 we check for the type of "inequality" symbol.

If there is a:  "less than" (<) ;  or a "greater than" (>) symbol;  the graph of the "inequality" will have "dashed lines" (since there will be a "boundary").

If there is an "inequality" that is a: "less than or equal to" (≤) ;

                                                 or a: "greater than or equal to" (≥) ;

       →   then there will be not be a dashed line when graphed;

          but rather—a "solid line" ;  since "less than or equal to" ;

          or "greater than or equal to" —is similar to:

          "up to AND including"; or: "lesser/fewer than AND including".).

 _________________________  

Note:  We are given the "inequality" :

            →   " y <  x²  + 4x  "  .

_________________________________

Note that we have a "less than" symbol (< ) ; so the graph will have a:

   "solid line" [and not a "dotted line".].

_________________________________

Note that all of the graphs among our 4 answer choices have "dotted lines".

Not that all values (all x and y coordinated) within the "shaded portion" of the corresponding graph are considered part of the graph.  

As such, given any point within the shaded part,  the x and y coordinates must match the inequality (i.e. the given inequality must be true when one puts in the "x-coordinate" and "y-coordinate" into the "given inequality" :

→   " y <  x²  + 4x "  .

_________________________

Likewise, we can take any point within the "white, unshaded" portion of any of the graph, and take the "x-coordinate" and "y-coordinate" of that point, and the inequality: →   " y <  x²  + 4x  "  ;  will not hold true when the "x-coordinate" and "y-coordinate" values of that point— are substituted into the "inequality".  

_________________________

{Note:  Answer is continued on images attached.}.

Wishing you the best!

A study was conducted on the amount of time drivers wait for a stoplight to change at a particular intersection. The amount of time spent by 300 drivers was recorded and the resulting data were used to create boxplot.

a. What is approximately the median amount of time spent at this traffic light?
b. The top 25% of drivers waited at least how long?
c. The mean amount of time spent at this traffic light was bigger or smaller than the median? Explain.

Answers

Answer:

a) Median amount of time that is spent is around 2.3, rounded to 2.

b) 4 unit time

c) Mean amount of time is bigger than the median.

Step-by-step explanation:

Find the given attachment.

Note: Complete Question, along with the diagram is added

NEED GEOMETRY HELP ASAP PLEASE (12 POINTS)

Answers

Answer:

2 times the square root of 10

Step-by-step explanation:

If you make a right triangle and solve for the hypotenuse (the distance between P1 and P2), you will get 2 times the square root of 10.

Please mark this brainliest.

Answer: [tex]2\sqrt{10}[/tex]

Step-by-step explanation:

if you draw a triangle starting from P1 and go up to the y value of P2, the change in y is equal to 6.

From that point, go to the right until you hit P2 to get a change in x of 2.

Youre basically missing the hypotenuse of this triangle that you drew. Which is where the distance formula is derived from. 6^2 + 2^2 = s^2

You get √40 = s. It appears that they want you to simplify this square root. What are the two greatest numbers that multiply to equal 40 and atleast one of them has a perfect square root? That's 10 and 4. you can perfectly take the square root of 4, so go ahead and do that. Put that 2 outside of the square root. That gives you [tex]2\sqrt{10}[/tex]

In a class of 20 students 11 people have a brother 9 people have a sister 6 people have neither fill in the Venn diagram

Answers

Answer:

Draw a Venn diagram with the left circle labeled brother, and the right labeled sister. Label the middle both and fhe outisde neither. Put 5 in brother, 3 in sister, 6 in both and 6 in neithrr.

Step-by-step explanation:

11+9 = 20

20-6 = 14

20-14=6

There are 6 that have both

Other Questions
Can somebody help meeee witthhhh thisss plssss 49% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. please come in clutch and help me please and thank you! how does the sun rise and set on the spring and fall equinox What is the product?(x+3)(2x - 1)2x-32x+66O 2x+5x-32x+6x-3 What did the South need to do to win the war? (civil war topic) two groups of students order cheeseburgers and chicken nuggets at mcdonalds. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger PLZZZZZZZZ HELP MEEEE!!!!!!!!! The first music machines were those that we have all seen music boxes with pins that we could wind with keys. Then came larger machines with metal discs. These also came in boxes. Finally, someone developed the machines with paper rolls that could play the music of several instruments. We called them player pianos.What is wrong with the underlined sentence? A. It needs a subject. B. It is too long. C. It is a run-on sentence. D. It is a sentence fragment. Moise MoliereMrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelterand continues putting this number of chickens in each shelter until she comes to the last one. How many chickenswill Mrs. Johnson put in the last shelter?341311678 9 1014Back2 3 4 59:3INTL divide 41000 into two parts such that their amounts at 50% compound interest compounded annually in 2 and 3 years are equal how did the Rasool(S.A.W) set high and noble ideals for all mankind The following is a passage from Homer's The Odyssey, whichwas written in ancient Greece.Of all that breathes and crawls across the earth,our mother earth breeds nothing feebler than a man.So long as the gods grant him power, spring in his knees,he thinks he will never suffer affliction down the years.But then, when the happy gods bring on the long hardtimes,bear them he must, against his will, and steel his heart.What does the underlined line in this passage tell the readerabout the cultural context of this passage?O A. The author is deeply religiousB. Gods have no influence over people's lives.O C. People believed in multiple gods.O D. Christianity is the main religion of this culture. How did the end of the Hundred Years War in 1453 help spread the Renaissance across northern Europe? You buy a share of The Ludwig Corporation stock for $21.40. You expect it to pay dividends of $1.07, $1.1449, and $1.2250 in Years 1, 2, and 3, respectively, and you expect to sell it at a price of $26.22 at the end of 3 years.A. Calculate the growth rate in dividends.B. Calculate the expected dividend yield .C. Assuming the calculated growth rate is expected to continue, you can add the dividend yield to the expected growth rate to get the expected total rate of return. What is the stock The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00 , and bags of cookies cost $4 , and sales equaled $40 in total. There were 3 more bags of cookies than candy sold.Find the number of bags of candy and cookies sold by the football club. Suppose your company reports $160 of net income and $40 of cash dividends paid, and its comparative balance sheet indicates the following. Beginning Ending Cash $ 35 $ 205 Accounts Receivable 75 175 Inventory 245 135 Total $ 355 $ 515 Salaries and Wages Payable $ 10 $ 50 Common Stock 100 100 Retained Earnings 245 365 Total $ 355 $ 515 Required: Prepare the operating activities section of the statement of cash flows, using the indirect method. (Amounts to be deducted should be indicated with a minus sign.) Is racism making the world better? Paragraph and I'll make u as brainliest fully Factorise 7m^2 + 13m A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box? In the house the blank assigns a bill to a committee