A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?

Answers

Answer 1

Answer:

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 =  12[/tex]

   The first sample standard deviation is [tex]s_1 =  0.038 \  mil[/tex]

   The second sample size is  [tex]n_2 =  10[/tex]

   The first sample standard deviation is [tex]s_2 =  0.042 \  mil[/tex]

    The significance level is  [tex]\alpha =0.05[/tex]

The null hypothesis is [tex]H_o : \sigma^2_1  = \sigma^2_2[/tex]

The alternative hypothesis is   [tex]H_o : \sigma^2_1 \ne  \sigma^2_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]F_{cal} =  \frac{s_1^2 }{s_2^2}[/tex]

=>     [tex]F_{cal} =  \frac{ 0.038^2 }{0.042^2}[/tex]

=>     [tex]F_{cal} =  0.81859[/tex]    

Generally the first degree of freedom is  [tex]df_1 =  n_1 -1  =  12-1 = 11[/tex]

Generally the second degree of freedom is  [tex]df_2 =  n_2 -1  =  10 -1 = 9[/tex]

From the F-table the critical  value of  [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of   [tex]df_1 = 11[/tex]  and   [tex]df_2 =9 [/tex] is  

         [tex]F_{\frac{\alpha }{n} , df_1 , df_2 } =  3.91207[/tex]

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

 


Related Questions

7th grade math help me plzzzz

Answers

Answer:

b, c, f are coorrect inequalities

Step-by-step explanation:

hope i helped :D

Use the expression 3-7p^2+11(4+n)3−7p 2 +11(4+n)3, minus, 7, p, squared, plus, 11, left parenthesis, 4, plus, n, right parenthesis to find an example of each kind of expression.

Answers

Answer:

2 - 4x² + 15(3 + y)

Step-by-step explanation:

Given.

3 -7p²+11(4+n)

Required

Write similar expression:

The given expression can be split into:

3, -7p² and 11(4 + n)

3 can be replaced with 2 or any number (but let's stick with 2).

-7p² can be replaced with -4x²

Lastly,

11(4 + n) can be replaced with 15(3 + y)

Bringing them together, we have:

2 - 4x² + 15(3 + y)

So, an expression similar to 3 - 7p² + 11(4 + n) is 2 - 4x² + 15(3 + y)

Please note that, there are other similar expressions

Answer:

difference: 3-7p^2

Factor: ( 4+n )

product: 11( 4+n )

Step-by-step explanation:

Given f(x)=18x +8, find x when f(x) =14

Answers

Answer:

x=1/2 or x=0.5

Step-by-step explanation:

14=18x+8 so 18x =6 so x=1/2

Answer:

x = 1/3

Step-by-step explanation:

14 = 18x + 8

Subtract 8 from both sides.

6 = 18x

Divide both sides by 18.

6/18 = x

Simplify.

1/3 = x

The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.

Answers

Answer:

90

Step-by-step explanation:

Hi can you help me in this? Ann works in a supermarket for 10.00 pero hour She recieved a raise yo 12.00 what is the percent of chance in her hourlt wage?​

Answers

Answer:

20%

Step-by-step explanation:

GivenInitial wage = 10 peso/hourNew wage = 12 peso/hourSolution

The difference  

12 - 10 = 2 peso/hour

Percent of change

2/10*100% = 20%

please help i’ll give the brain

Answers

Answer:

a. it depends if you're rounding it.

Step-by-step explanation:

45 pounds is 20.4117 kilograms.

Answer: C, 50.

Step-by-step explanation:

So there are talking about ¨much¨ you have to multiply/simplify the same number.

Which equals to 50 kilograms.  

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Round the decimal to a place of the underlined digit 5.657

Answers

Answer:

5.6

Step-by-step explanation:

please help I will give a lot of points


btw its 2 questions​

Answers

ummmmmmm.. wait ima come back to it let me work it it

Answer:

please wait two mins I will give you the answer, but which question 2 or 3

HELP NEEEDED ASAP PLEASE!!!

Answers

Answer:

im pretty sure the answers are

A) 6

b) 10

Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?

Answers

Answer:

$62.50 because

Step-by-step explanation:

250÷4=62r2

62.50•4=250

Ms. Beg withdraw $62.5 from her account to pay for her services.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.

to with

So, to withdraw from the account to pay for services each month

= 250/4

= 125/2

= 62.5

Hence, she withdraw $62.5 from her account to pay for her services.

Learn more about unitary Method here:

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help with math pls pls

Answers

Answer:

62 degrees

Step-by-step explanation:

If 167 degrees is the whole angle measurement, then you take 167-105.

Please help me!

You have the opportunity to lease space for your business. The property owner has proposed a four year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years? A.)$13,200 B.)$22,000 C.)$31,390 D.)$32,440​

Answers

Answer:

C.)$31,390

Step-by-step explanation:

You can use the formula to calculate the future value to find the answer:

FV=PV*(1+i)^n

FV= future value

PV= present value= 29,000

i= interest rate=2%

n= number of periods of time= 4

Now, you can replace the values in  the formula:

FV=29,000*(1+0.02)^4

FV=29,000*(1.02)^4

FV=31,390

According to this, the answer is that the annual rent would be $31,390 at the end of four years.

f(x) = 2( x ) + 10, Solve when given f(x) = -22 sorry it’s just I didn’t get function notation

Answers

Answer:

x=-16

Step-by-step explanation:

[tex]2x + 10 = - 22[/tex]

[tex]2x = - 22 - 10 = - 32[/tex]

[tex]x = - 32 \div 2 = - 16[/tex]

16 i think lol (x=16)

Flaws occur at random along the length of a thin copper wire. The number of flaws per mm follows a Poisson Distribution with a mean of 2.3 flaws per mm. Determine the probability of exactly 2 flaws in 1 mm of wire.

Answers

Answer:

0.265

Step-by-step explanation:

Given that :

Number of flaws per mm follows a poisson distribution:

Mean flaws per mm (x) = 2.3

Probability of exactly two flaws in 1 mm of wire

P(X = 2) = (x² * e^-x) / x!

P(x = 2) = (2.3² * e^-2.3) / 2!

P(x = 2) = (5.29 * 0.1002588) / 2

P(x = 2) = 0.265

guys I need followers​

Answers

Answer:

Followers You need

Answer:

ok

Step-by-step explanation:

16. The Venn diagram below represents two sets of numbers.
?
Integers
Which of the following would be the best label for the set represented by the
shaded circle?

Answers

Answer: D) Rational Numbers

Any rational number is in the form p/q, where p,q are integers and q is nonzero.

If we made q = 1, then p/q turns into an integer which is why the set of integers is inside the set of rational numbers.

For instance, if p = 7 and q = 1, then p/q = 7/1 = 7 is an integer and it is rational too.

Which equation would help determine the cost of 4 erases?
Choose 1 answer

Answers

Answer:

explain in details pls


A writer gets paid a writer's fee of $3000 plus
$1.50 for each copy of the book that is sold. Create
a function rule for this situation.

Answers

Answer:

y = 1.50x + 3000

Step-by-step explanation:

4x/5 = 2x+4/3 Please hurry I’m in a rush

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

x = - 5/3

Step-by-step explanation:

Calculate the product

4x/5 = 2x + 4/2

Reduce the faction with 2

4x/5 = 2x + 2

Multiply both sides of the equation by 5

4x = 10x + 10

Move variable to the left-hand side and change its sign

4x - 10x = 10

Collect like terms

-6x = 10

Divide both sides of the equation by -6

x = - 5/3

Solution

x = -5/3

Alternate form

x = -1 2/3, x = -1.6

Mid point of 11.29 and 11.30

Answers

Answer:

11.295

11.29 and 11.30 are already two digit decimals, we can not get another 2 digit decimal. We have to make a 3 digit decimal.

11.295 falls between 11.29 and 11.30.

Hope this helps you!

Answer:

11.295

Step-by-step explanation:

cmon now. That was pretty easy lol

How much smaller is x−3 than x+4?

Answers

Answer:

Try 1

Step-by-step explanation:

The difference between 3 and 4 is one.

-3+7= POSITIVE 4 if it’s on a line then the Awnser is one

2 1.3.3 Quiz: Random Sampling

Question 1 of 10

Three national news networks are trying to estimate what percentage of

American voters support a particular presidential candidate. To estimate the

population parameter, each of the three networks collect data from a simple

random sample of voters. Here are the numbers of voters in the networks'

random samples:

• Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Which sample is likely to have the least variability?

A. The Network A sample

OB. The Network B sample

OC. The Network C sample

Answers

Answer:

A. The Network A sample

Step-by-step explanation:

The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.

In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.

Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Answer:

A.

Step-by-step explanation:

Just took the test

6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?

Answers

Answer:

I haven't seen this question before, but the correct way to write it is 78+78+78=234

Consider Jaspers balance sheet.
What is the total value of Jaspers assets?
$4,460
$11,340
—-$15,800
$20,260

What is the total value of Jaspers liabilities?
——$4,400
$11,340
$15,800
$20,260

Answers

Answer:

Consider Jasper’s balance sheet.

What is the total value of Jasper’s assets?

✔ $15,800

What is the total value of Jasper’s liabilities?

✔ $4,400

Step-by-step explanation:

The total value of Jaspers assets is $15,800 and  the total value of Jaspers liabilities is $4,400.

What do you mean by Assets?

Anything that will or now has economic worth to a company is considered an asset. Assets are essentially anything that a firm controls and owns that is currently valuable or has the potential to be profitable in the future.

A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.

The three forms of balance sheets are: Comparative balance sheets, Vertical balance sheets and Horizontal balance sheets.

Therefore, Value of assets is $15,800 and value of liabilities is $4,400.

Learn more about Assets, here;

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Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

Which compound inequality describes the solutions graphed below?​

Answers

Answer:

A. x ≤ -2 or x > 3

Step-by-step explanation:

The number line shows two possible values of x which represents a compound inequality.

There are two arrows in opposite direction on the number line.

The arrow that starts at -2 and goes to your far left, has a shaded small circle "o". This connotes that -2 is included in the possible values of x. Thus, this means the possible value of x is equal to -2 or less than -2 ==> x ≤ -2.

The other arrow starts at 3 and has an unshaded small "o", implying that 3 is not included in the possible values of x. Thus, x > 3.

The compound inequality in the graph indicates either statement is true, since each solution do not overlap, hence, the word to use here would be "OR", showing a union.

Therefore, the solution of the compound inequality would be x ≤ -2 or x > 3.

Solve the inequality and graph the solution. 1/2x < 6​

Answers

Answer:x<12

Step-by-step explanation:

2/1 x 1/2x<6/1 x 2/1

X<12

The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?

Answers

Option:

a. for every 13 dogs, there are 25 cats.

b. there are twice as many cats as dogs at the shelter.

c. the shelter has more dogs than cats.

d. there are 25 animals in the shelter.

Answer:

a. for every 13 dogs, there are 25 cats.

Step-by-step explanation:

Represent Dogs with D and Cats with C;

So;

[tex]\frac{D}{C} = \frac{13}{25}[/tex]

By comparison:

[tex]D=13[/tex]

[tex]C = 25[/tex]

This implies that:

For every 13 D, there are 25 C

Hence: Option A is true

9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

Answers

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]

Given that:

[tex]\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67[/tex]

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

PLEASE HELP Please i don’t understand

Answers

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

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