Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. A manufacturer of spark plugs claims that its plugs have an average life in excess of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles, the sample standard deviation was 1,500 miles and the computed test statistic was 3.677. Based on these findings, there is enough evidence to accept the manufacturer's claim at the 0.05 level.

Answers

Answer 1

Answer:

There no sufficient evidence to support the manufactures claim at the 0.05 level

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 22100 \ miles[/tex]

    The  sample mean is [tex]\= x = 23400 \ miles[/tex]

   The  sample size is  [tex]n  = 18[/tex]

   The standard deviation is [tex]\sigma  =  1 500 miles[/tex]

    The test statistics is  [tex]t = 3.677[/tex]

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

The null hypothesis  is  [tex]H_o :  \mu =  22100[/tex]

The  alternative hypothesis  is  [tex]H_a :  \mu  \ne 22100[/tex]

Generally the p-value  is mathematically represented as

     [tex]p-value  =  2 *  P(t >3.677 )[/tex]

From the z-table  [tex]P(t >3.677 )  =  0.000118[/tex]

So

    [tex]p-value  =  2 *  0.000118[/tex]

=> [tex]p-value  =  0.000236 [/tex]

From he value given and obtained we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

Hence there no sufficient evidence to support the manufactures claim


Related Questions

what is -0.3 x -10/11

Answers

Answer:

-0.3x-10/11=3/11

In 2012 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the accrued value of the account in the year 2030, when her son will go to college. Round your answer the nearest cent.

In the year 2030, the accrued value will be $

Answers

Answer: $23,896

Step-by-step explanation:

In the year 2030, the number of years since the investment would be;

= 2030 - 2012

= 18 years.

As the question does not mention that the interest paid is compounded, simple interest will be used;

= Amount + (Amount * interest rate * number of years).

= 14,500 + ( 14,500 * 0.036 * 18)

= $23,896

Help me please ASAP Is the function y=5/4 linear and nonlinear

Answers

Answer:

linear

Step-by-step explanation:

An assembly line must create one finished product every 3 minutes. The sum of the task times required to create a product is 700 seconds. What is the theoretical minimum number of workstations for this assembly line

Answers

Answer:

We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.

Step-by-step explanation:

At first we assume that assembly line is formed solely by workstations configurated in series. We must keep in mind that theoretical minimum number of workstations is equal to the sum of the task times required to create a product divided by the time taken by the assembly line to create one finished product. That is:

[tex]n = \frac{700\,s}{3\,min\times 60\,\frac{s}{min} }[/tex]

[tex]n = 3.889\,workstations[/tex]

We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.

The cast of the play had a party. The drama teacher served 20 cookies and 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of carrot sticks. Nothing was leftover. The drama teacher did not eat. How many cast members must have been at the party?

Answers

Answer:

20 cast members

Step-by-step explanation:

Each cast member must've ate 1 cookie and 2 carrot sticks.

Select the correct answer.

In a figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°?

Answers

Answer:

145 . this is because angles on a straight line add up to 180 degrees

Answer:

c.145

Step-by-step explanation:

Add using the number line. ​ −11+5 ​ Drag and drop the word SUM to the correct value on the number line.

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

did the test

What is the value of n?

| n | = 5

Answers

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you think you know what n is, check your answer. Add n to 7 and divide by 4. Do you get 5?

-2(x-3)+4x=-(-x+1) solve for x

Answers

Same as his answer is correct

Answer:

- 7

Step-by-step explanation:

Step 1:

- 2 ( x - 3 ) + 4x = - ( - x + 1 )        Equation

Step 2:

- 2x + 6 + 4x = x - 1         Multiply/Open Parenthises

Step 3:

2x + 6 = x - 1       Combine Like Terms

Step 4:

x + 6 = - 1     Subtract x on both sides

Answer:

x = - 7        Subtract 6 on both sides

Hope This Helps :)

Which is greater, 25% of $200 or 80% of 100?

Answers

Answer:

80% of 100

Step-by-step explanation:

25% of something is basically dividing it by 4, meaning 25% of 200 is 50,

While 80% of 100 is 80

A good way to memorize this is if youre taking anything as a percent of 100, get rid of a 0 on the 100, and put a decimal place in the number.

(e.g. 90% of 10 is 9. whereas 90% of 100 is 90)

Just remember which you're dealing with!

Hope this helps!

Answer:

80% of 100 is greater

Step-by-step explanation:

25% of 200 is

0.25*200 = 50

80% of 100 is

0.8*100 =80

As 80 > 50,  

the second number is greater

How to get x by its self y=Mx+c

Answers

Answer:

Subtract c, then divide by m.

Solve for h.

2h − 1 = 1

h =

Answers

Answer:

h = 1

Step-by-step explanation:

2h - 1 = 1

2h - 1 + 1 = 1 + 1

2h = 2

2h/2 = 2/2

h = 1

Check:

2(1) - 1 = 1

2 - 1 = 1

1 = 1

Answer:

h = 1

Step-by-step explanation:

Add 1 to each side, so it now looks like this: 2h = 2Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = 1

I hope this helps!

Jose has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many used stamps does he have?

Answers

Answer:

21

Step-by-step explanation:

please answer!!

Graphs of Linear Functions

write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)

y= ?

Answers

Answer:

Y= -8

Step-by-step explanation:

i think so......

KKKKKKKKKKKKKKKKKKK

will mark brainliest, a THX, friend request, and will rate ur answer

Answers

Answer:

35/4

Step-by-step explanation:

8 × 4 = 3232 + 3 = 35Write 35 over the original denominator: 35/4

I hope this helps!

f(3) = 5x + 3. Find the inverse of f(x).
O A. f-'(x) =
B. -1 (2) = 3 – 52
O c. f-'(x) =
OD. f-1(x) = 5x – 3

Answers

B. -1 (2) = 3 - 52 that’s what I’m guessing

find two consecutive integers whose sum is 93.​

Answers

Answer:

46 and 47

Step-by-step explanation:

46 + 47 = 93

What value of x makes this equation true 5(x-3)=20

Answers

Answer:

X=7

Step-by-step explanation:

5x - 15 =20

5x=15+30

5x=35

Divide by 5

X=7

help anyone please??

Answers

Answer:

1.

Collinear points mean they are on the same line. That leaves us with answer d. F, E, G

2.

In this case, the intersection of the 2 planes is a line. 2 points both planes contain are B and C, so the intersection can be named as answer b: Line BC

3.

2 points define a line, so therefore the answer to the question is answer b. 1

Hoped this helped. If it did, could you please consider giving me a brainliest? :)

The diagram below represents the side view of a bike ramp.

Which of the following is closest to the value of x ?

Answers

Answer:

32

Step-by-step explanation:

We are finding X and it connects to the base and the height, so it is going upward only a bit, so you add the base to the height or 26 + 6 = 32.

Answer:

32

Step-by-step explanation:

All you need to do is add 26 + 6=32

Solve the proportion 100/x=75/6

Answers

Answer: x=8.

Step-by-step explanation: Here are the steps to solving this proportion:

100/x=75/6.

Step 1: Cross-multiply.

100/ x = 75 /6

(100)*(6)=75*x

600=75x

Step 2: Flip the equation.

75x=600

Step 3: Divide both sides by 75.

75x

75

=

600

75

x=8

So the answer is x=8.

100/8 = 75/6
x = 8
The answer I got was 100/8 is equivalent to 75/6 and x = 8 in this problem

Suppose you have a total of $2.25 in dimes and
nickels. You have twice as many dimes, as nickels.
Which system of equations could be used to
determine how many of each coin you have?

Answers

Answer:

n = number of nickels

2n = number of dimes

n($0.05) + 2n($0.10) = $2.25

0.05n + 0.2n = 2.25

0.25n = 2.25

n = 2.25/0.25 = 9

2n = 2(9) = 18

You has 9 nickels and 18 dimes

Step-by-step explanation:

Damarius is making some big life decisions! He decides it's time to start saving for his future and deposits $300 each month at 4.1% annual interest, compounded monthly, for 30 years. At the end of 30 years, he has an account balance of $211,966.64. How much of this did Damarius contribute and how much of this is interest?

Answers

Answer:

$108,000

$103,966.64

Step-by-step explanation:

Damarius contributes $300 each month, for 30 years. Therefore, to find the amount he contributed, we multiply those pieces together (12 months in each year).

300⋅12⋅30=$108,000

Therefore, over the 30 years, Damarius contributed $108,000.

If there was $211,966.64 in his account, and he contributed $108,000, then the rest is interest.

$211,966.64−$108,000=$103,966.64

There was $103,966.64 in interest earned on Damarius' account.

Trevor surveyed attendees at a comic book convention about the distance they lives from the convention center in the top of ticket they purchased for the event the data he gathered is shown in a two-way table below how many people did Trevor survey​

Answers

Answer:137

Im not completely sure though!

Step-by-step explanation:

Answer:

its 137 im 100% sure of it

Step-by-step explanation:

Write the sentence as an inequality.

A number is less than 6 and greater than 2

Answers

Answer:

6 > x > 2

Step-by-step explanation:

This could be wrong, but if the number is less than six, and greater than two, itd look like that!

yavonee reads 14 pages in 28 mins, at this rate, how many pages does she read in 50 mins ​

Answers

Answer:

yavonee can read 25 pages in 50 minutes with the same rate.

Step-by-step explanation:

calcuate how may pages does yavonee read in 1 minute

14/28

= 1/2 or 0.5

0.5 * 50

= 25

In 50 minutes Yavonee can read 100 pages with a unit rate of 2 pages per minute.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Yavonee reads 14 pages in 28 mins.

∴ In 1 minute she reads (28/14) = 2 pages.

So, In 50 minutes she can read (2×50) = 100 pages.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ5

Please answer I need help badly

Answers

symmetric property :).

Uh, uh, uh, uh

Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night

Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)

Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night

Answers

Answer:

Same I honestly couldn't agree more

that’s actually a great question:))

Using the equation below, determine the range for the given domain values.
y= x 4 ; D={-4, 2, 8}

Answers

If it is :

[tex]y = f(x) = {x}^{4} [/tex]

_________________________________

[tex]f( - 4) = ({ - 4})^{4} = 256 [/tex]

_________________________________

[tex]f(2) = {2}^{4} = 16 [/tex]

_________________________________

[tex]f(8) = {8}^{4} = 4096 [/tex]

Range = { 16 , 256 , 4096 }

##############################

If it is :

[tex]y = f(x) = 4x[/tex]

_________________________________

[tex]f( - 4) = 4( - 4) = - 16[/tex]

_________________________________

[tex]f(2) = 4(2) = 8[/tex]

_________________________________

[tex]f(8) = 4(8) = 32[/tex]

Range = { -16 , 8 , 32 }

##############################

And we're done.....♥️♥️♥️♥️♥️

PLEASE HELP!! Find the market equilibrium point for the following demand and supply equations

Answers

9514 1404 393

Answer:

  (p, q) = (16, 20)

Step-by-step explanation:

You can add the two equations together to make one from which q can be eliminated:

  (4p) +(3p -q) = (-q +84) +(28)

  7p -q = -q +112 . . . . simplify

  7p = 112 . . . . . . . . . . add q

  p = 112/7 = 16

Using this value in the second equation, we get ...

  3·16 -q = 28

  48 -28 = q = 20 . . . . . add q-28

The equilibrium point is (p, q) = (16, 20).

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