Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.


0.993


0.007


0.05


0.018


0.004

Answers

Answer 1

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630


Related Questions

SPANISH
help i need an answer to these question (and please one that isn't a scam)

Answers

Answer:

for the first one its the middle answer

Step-by-step explanation:

i speak almost fluent spanish but i am not amazing at math

.
-1 + 4c = -19
-
-
C =

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2

Hope it helps!

Brainliest pls!

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Evaluate the expression. 4^2−3⋅4+7 Enter your answer in the box.

Answers

The answer is:

11

Hopefully this is right

Answer:

11

Step-by-step explanation:

[tex]4^{2}[/tex]-3*4+7 = 16 -12+7 = 4+7 = 11

Negative 1/3 in decimal form

Answers

Answer:

-0.3333334

Step-by-step explanation:

common sense

Answer:

-0.33

Step-by-step explanation:

Can someone help me with letter b along with an explanation.

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Step-by-step explanation:

Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale

9514 1404 393

Answer:

  a) 1.70 L

  b) 16 breaths per minute

Step-by-step explanation:

a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...

  1.27 +0.43×1 = 1.70 . . . liters

__

b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...

  1.71t = 2π

  t = 2π/1.71 ≈ 3.6744 . . . seconds

Then the number of breaths per minute is ...

  (60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute

The person takes about 16 breaths per minute while sleeping.

Please answer, I will mark BRAINELIST!

Answers

Answer:

answer is c

Step-by-step explanation:

3x (x-3)=0

than 3x=0 or x-3=0

x=0 or x=3

Answer:

HMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64

Answers

Answer:

Step-by-step explanation:

Uhm the third one number 3

Please help!

It’s Geometry!!



***WILL MARK BRAINLIST!!!!

Answers

Answer:

3) the coordinate for angle S is (-1, 10)

4) the coordinate for angle B is (-8, -8)

Step-by-step explanation:

I grab a paper and drew on it. Rotated from the origin at a counter clockwise motion. That's all. (Sorry not very explicit)

carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras 4 semanas. cuando comenzó a realizar las mediciones lq planta media 12cm ¿ cuál es la variable dependiente y la independiente? ​

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Answer:

yo soy inteligente

Step-by-step explanation:

pero no me se la respuesta de la perunta

At a local pizza parlor, patrons have 3 choices of cheese and 5 choices of meat. In how many different ways can a patron choose 1 type of cheese and 1 type of meat? 10 30 o 15 0 8 o Termsat a local pizza parlor that runs has three choices of cheese and five choices of meat in how many different ways can a pageant use one type of cheese and what type of meat ​

Answers

Answer:15

Step-by-step explanation:

What is the answer??? I need help fast pls

Answers

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

Solve for X
Marking you the brainliest​ provided you got it right and with step by step explanation

Answers

Answer:

260°

Step-by-step explanation:

We need to find the value of angle x:

x = m∠BCG + m∠DCG

Find the angles BCG and DCG, considering BA, CG and DE are parallel lines:

m∠DCG = 180° - m∠CDE = 180° - (360° - 312°) = 132°m∠BCG = 180° - m∠ABC = 180° - 52° = 128°

Find x:

x = 132° + 128°x = 260°

Hey everyone I would greatly appreciate some help here :)
I’m doing a chapter quiz and I honestly am 99% sure this is right but since it’s a big quiz I thought it wouldn’t be bad to get a second opinion and if I’m wrong a step by step answer so I can do it properly next time ok so here is question

Jasmine opened a bank account and she deposited 84.50 dollars into her account every month for 20 months. She also used 50.50 every month to pay for dance lessons, after 20 months she used 1/49& the total money left in her account to go to camp. What is the total amount of money jasmine spent to go to the camp?

115
135
155 or
170
Now I picked 170 because I got 680 from all that and 1/4 of 680 is 170 atleast I’m 99% sure lol if I’m right just let me know but if I’m wrong please tell me how so I can do it properly next time :)

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Answer:15

Step-by-step explanation:

Jonah found that it took him 10 minutes to do 5 math problems. If he uses this information, what should be his estimation on how long it will take him to do 32 math problems? ​

Answers

We can round 32 down to 30.

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Which number line model represents the expression-1/2+5/4

Answers

Answer:

B

Step-by-step explanation:

A polyhedron with 16 edges cannot be a prism. Explain why this must be true

Answers

Answer:

This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.

Step-by-step explanation:


Find the unit price in dollars per ounce).
A 24-ounce can of pineapple for $1.08
PLS PLS HELPME ASAP

Answers

Answer:

$0.05 per ounce

Step-by-step explanation:

To find the price in dollars per ounce, divide the price by the number of ounces.

[tex]\frac{1.08}{24}[/tex] = $0.045 per ounce = $0.05 per ounce

(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:

Write an expression using subtraction to find the distance between the two jellyfish. (5 points)

Show your work and solve for the distance using additive inverses. (5 points)

Answers

hello again!

you can calculate the distance between A and B by subtracting

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How to write 9 and 15 thousandths in decimals

Answers

Answer:

0.915

Step-by-step explanation:

The answer is 9.15, you are welcome

Together, Arline, Mariana, and Sue have 708 movie star cards. Arline has the most cars, and Sue has the least. The ratio of the number of cards each girl has is 5:4:3. How many movie-star cards does each girl have?

Answers

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second

Answers

9514 1404 393

Answer:

  25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

Additional comment

There are many ways you can arrive at this conclusion. Algebraically,  we can write ...

  a+b = sum

  a-b = difference

Adding these two equations gives ...

  2a = sum +difference

Multiplying by 1/2, we get ...

  a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

  b = a -difference = 1/2sum -1/2difference

what 21.807-10.739=?​

Answers

Answer:

2.428 is the answer....

solve each system by substitution.

-x + 4y = 6
y = -2x + 6

Answers

Answer:

(x,y)+(2,2)

Step-by-step explanation:

Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements.

Answers

The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :

Number of stations = 2

Number of pumps per station = 6

Let the number of pumps in use at each station be listed on the row and column respectively :

P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6

0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6

1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6

2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6

3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6

4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6

5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6

6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6

Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.

Learn more :https://brainly.com/question/18405415

Need help with number 31

Answers

Answer:

Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.

Step-by-step explanation:

you would get 0.97 by dividing 97 by 100.

help? with complete solution​ please help me please

Answers

9514 1404 393

Answer:

13 ft(a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

1.

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

2.

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?

Answers

Answer:

470$

Step-by-step explanation:

50% = 1/2

235 * 2 = 470

If X=3+√8, find X square + 1/x square

Answers

Given :-

x = 3 + √8

To find :-

x² + 1/x²

Solution :-

According to Question,

x = 3 + √8 1/x = 1/3-√8 1/x = 1(3+√8)/(3+√8)(3-√8)1/x = 3+√8/3²-(√8)² 1/x = 3+√8/9-81/x = 3 + 8

So that ,

x² + 1/x²(x + 1/x)² - 2( 3+√8+3-√8)²-29² - 281 - 279

Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗

Answers

Answer:

a

Step-by-step explanation:

6 = 2n + 10
Please help

Answers

Answer:

6 = 2n + 10

6-10=2n

-4/2=n

-2=n

6=2n+10
-2n=18-6
-2n=12
n=-6
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