Please help me interpret the p-value!

When Carter bought his new laptop computer, the sales person told him that the average battery life was 5 hours and that the number of hours of battery life is approximately normally distributed. After using the computer for a few days, Carter began to have his doubts. The next 10 times that Carter used his computer, he kept track of how long it took for the battery to drain. The sample average was 4.25.

Conducting a one-sided significance test, he found the p-value to be 0.038.

What is the best way to interpret this p-value in the context of this situation?

Select one answer

A A p-value as small as 0.038 gives Carter good reason to doubt that the average battery life of his. laptop really is 5 hours.

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

C When 10 observations are made, the battery life will be as low as 4.25 hours in 3.8% of the observations.

D There is a 3.8% chance that Carter's laptop computer battery will last for 4.25 hours anytime he uses it.

E Only 3.8% of all alptip batteries will last as long as 5 hours.​

Answers

Answer 1

The correct interpretation of the p-value is given by:

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

How to find the p-value of a test?

It depends on the test statistic z, as follows:

For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.

In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.

The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.

You can learn more about p-values at brainly.com/question/13873630


Related Questions

What is the volume of the rectangular prism?

Answers

Here’s the answer
If you add up al the numbers that would be your answer

Answer:

Solution given:

Volume of rectangular prism =l*b*h=4*8*3= 96 inches cube

What is the equation of the line that passes through the point (7,-3) and has an undefined slope?

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

A line with undefined slope is a vertical line. A vertical line has the equation

x = anumber

The point you were given has an x and a y...(x,y) The first number is the x.

x = 7

That's it, thats the equation of a line with undefined slope that goes through (7, -3).

<<<Fun fact: Lines with 0 slope are horizontal lines and have the equation

y = anumber >>>

For a school play, the ninth graders sold 220 adult tickets and 100 children tickets. They collected
$410. The tenth graders collected $366 from the sale of 180 adult tickets and 120 children tickets. What
was the price of each ticket?
a. Determine the variables and label them appropriately.
b. Write a system of equations that models this situation. You don't need to solve the system!

Answers

Answer:

366,750. i think thats the answer i just want the points

HELP ME WITH THIS PLEASEE AND THANKSS

Answers

Answer:

Step-by-step explanation:

The scale factor for each side is

12/7 = 1.714

What that means is that if you multiply the side length of the small square by the scale factor, you get the side length of the large square.

7 * 1.714 = 11.998 which is not exactly 12, but it is close enough.

Which system of equations does this graph represent?

Answers

Answer:Two solution

Step-by-step explanation:

System of the equations consists of a straight line and parabola will be [tex]y = x - 4[/tex] and [tex]y = x^{2} + 4[/tex].

What is system of equation?

" A system of equations is a finite set of equations for which we find the common solution."

According to the question,

Y - intercept of line = ( 0, -4)

X - intercept of line = ( 4 , 0)

Standard equation for straight line y = mx +c

m = slope

c = y - intercept

Slope of the line 'm' = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                           = [tex]\frac{0-(-4)}{4-0}[/tex]

                           =   [tex]\frac{4}{4}[/tex]

                           = 1

y- intercept 'c' = - 4

Substitute the value to get the equation of line we get,

Equation of the line y =  x - 4

For equation of parabola,

Standard equation of parabola y = (x-h)² + k

Vertex (h, k) = ( 0,2)

Substitute the value of the vertex we get,

  y = (x-0)² + 2

y = x² + 2

Hence, system of the equations consists of a straight line and parabola will be [tex]y = x - 4[/tex] and [tex]y = x^{2} + 4[/tex].

Learn more about system of the equations here

https://brainly.com/question/12895249

#SPJ2

What is the value of the expression What is the value of the expression \frac{(44+9^2)}{5^{2}} 5 2(44+9 2 )

?

Answers

Answer:

expression no make sense'

Step-by-step explanation:

Help please I don’t know how to do this

Answers

The correct answer is the last one
(0,-4)

a little help would be nice!

Answers

Answer:

1 in : 6 ft

Step-by-step explanation:

48 / 8 = 6

24 / 4 = 6

It was scaled down by a factor of 6

Answer: 6 feet per inch

triangle angle sum theorem
what is the value of v?

Answers

Answer:

17 is answer

Step-by-step explanation:

hope it helps

how to
expand 1 ,567

Answers

Answer:

one thousand five hundred sixty seven

Step-by-step explanation:

Answer:

One thousand, Five Hundred, Sixty-Seven

1 Thousand, 5 Hundred, 67.

Step-by-step explanation:

add and reduce to the lowest terms 4/15 + 13/15

(answers)
17/30
17/15
1 2/15
none of there's are correct​

Answers

it would be 3 because ya it’s just 3

The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y .

When y=72 , x=3 .

Answers

Answer:

equation: y = 24x

Step-by-step explanation:

if y and x is proportional,

y = kx

72 = k * 3

k = 24

→ Here the constant if 24

so the equation that relates x and y :

y = 24x

Solve the equation. 3(x – 4) + 2x = 8

Answers

The answer to the question is x = 4

Answer:

4

Step-by-step explanation:

3(x - 4) + 2x =8

3x - 12 + 2x =8

5x -12 =8

5x +20

x= 4

if somebody is good at algebra and such please answer the questions in the images

Answers

Answer:

1) y = -1.5x - 1     ||   2) y = -1.5x + 1    ||  3. D ( 2 , -8 )

Step-by-step explanation:

1)

two coordinates: ( 0 , -1 ) , ( 2 , -4 )

slope = ( y2-y1 )÷(x2-x1) = (-4--1)÷(2-0) = -1.5

then find equation using: y - y1 = m ( x - x1 )

                                        : y - - 1 = -1.5 ( x - 0 )

                                        : y = -1.5x - 1

2)

two coordinates: ( 0 , 1 ) , ( -2 , 4 )

slope = ( 4 - 1) ÷ (-2-0) = -1.5

Find equation using y = mx +b ........where m is slope and b is y-intercept

y = -1.5x + 1

3)

y + 8 = 3(x -2 )

y = 3x -14  ..........main equation in slope intercept form.

A)

y = 3(-2)-14

y = -20 .therefore option A is incorrect

B)

y = 3(8)-14

y = 10 .therefore option B is incorrect

C)

y = 3(-8)-14

y = -38.therefore option C is incorrect

D)

y = 3(2)-14

y = 6 -14

y = -8 . therefore it matches and is correct answer.

the line crosses D( 2 , -8 )

As per your questions,

IMAGE 1 :-

The equation is

[tex]y = - \frac{3}{2}x - 1[/tex]

(Explanation attached as 1st image. Check it!)

IMAGE 2 :-

The equation is

[tex]y = - \frac{3}{2}x + 1 [/tex]

(Explanation attached as 2nd image. Check it!)

IMAGE 3 :-

When the point is (2,-8)

[tex]y + 8 = 3(x - 2)[/tex]

[tex] = > - 8 + (- 8) = 3 \times (2 - 2)[/tex]

[tex] = > 0 = 0[/tex]

Therefore, (2,-8) is true.

So, the answer is the option (2,-8)

~ Benjemin360

Let's say a car uses 28 gallons of gasoline to travel 840 miles. If the car travels 720 miles, how much gasoline does it need?

Answers

Answer:

Im pretty sure it is 24 gallons.

Step-by-step explanation: 28/180=.033 then you use .033 X 720=24

Find the surface area. 7 In 5 in helppppp​

Answers

Is the surface a rectangle?? If so, then the surface area would be 35

Find the slope of the line through each pair of points.
9) (17,-6), (-11,7)
10) (3, 4), (-4,-5)
11) (-20, 14), (17, 15)
12) (11, -18), (-1, -7)

Helpppp

Answers

Slope = (y2-y1) / (x2-x1)

9) (7 - -6)/(-11- 17) = 13/-28

10) (-5-4)/(-4-3)= -9/-7

11) (15-14)/(17- -20) = 1/37

12) (-7 - -18) /(-1 -11) = 11/-12

10 (3,4),(-4,-5) I think I had this question

(3x - 2)(2x - 3) first

Answers

Equivalent expressions are expressions with equal values

The equivalent expression of (3x - 2)(2x - 3) is 6x^2 - 13x + 6

The expression is given as:

(3x - 2)(2x - 3)

Open the bracket

(3x - 2)(2x - 3) = 6x^2 - 9x - 4x + 6

Evaluate the like terms

(3x - 2)(2x - 3) = 6x^2 - 13x + 6

Hence, the equivalent expression of (3x - 2)(2x - 3) is 6x^2 - 13x + 6

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Tim needs to use one kilogram of pasta to serve four persons. How many grams of pasta do they each have?

Answers

Answer: 250 grams

Explanation: A kilogram is equal to 1000 grams. All you have to do is divide the 1000 between the 4 people.
1000/4=250

Anyone mind helping!?

Answers

(3x + 7y)(3x - 7y) Hope this helps

3. Prove that the missing side, w, is 2+√3 ​

Answers

Answer:

Because the side w is [tex]\frac{1}{2}[/tex]  the side opposite the right angle (the hypotenuse) + [tex]\sqrt{3\\}\\[/tex] (because of the 30-60-90 triangle), we just need to divide by the hypotenuse by 2 and then add three. Knowing this, our answer will come out to be 2 + [tex]\sqrt{3\\}\\[/tex] .

Step-by-step explanation:

Evaluate the expression when t = 0.2.

300t2−0.5÷t
the 2 after the t is an exponent

Answers

Answer:

9.5

Step-by-step explanation:

Just put the 0.2 in the correct.

Answer:9.5Solving the given expression.

We know that:

t = 0.2Given expression: 300t² − 0.5 ÷ t

Now, let's solve the given expression.

300t² − 0.5 ÷ t=> 300 x 0.2² − 0.5 ÷ 0.2=> 300 x (2/10 x 2/10) − (5/10 x 10/2)=> 300 x (4/100) − (5/2)=> 300 x 4/100 − 5/2=> 3 x 4 − 5/2=> 12 - 5/2=> 12 - 2.5=> 9.5

Hence, the solution is 9.5.

Send help, and fast...

Answers

It’s a I took the quiz e

If 5 + 2T - 3 = 6 then what is the value of T?

Answers

Answer:

T = 2

Step-by-step explanation:

5 + 2T - 3 = 6

2 + 2T = 6

2T = 4

T = 2

Answer:

T=2

Step-by-step explanation:

first you're going to subtract the numbers 5-3=2

then you're going to move the constant to the right and change its sign(-2 now)

then you're going to do 6-2=4

divide both sides of the equation by 2

T=2

Which polynomials are in standard form

Answers

I Think It’s None As Well Standard Form Is ax^2+bx+c

You are running a concession stand at a basketball game. You are selling pretzels and sodas. Each pretzel costs $1.50 and each soda costs $0.50. At the end of the night, you have made a total of $78.50. You sold a total of 87 pretzels and sodas combined. You must report the number of pretzels sold and the number of sodas sold. How many pretzels and sodas were sold?

Answers

There were 35 hotdogs and 52 sodas sold.

What is the value of x

Answers

Check the picture below.

24 cm ,18cm ,c
We are looking for c

Answers

Step-by-step explanation:

we can find the value of c by Pythagoras theorem

according to Pythagoras theorem

h² = a² + b²

where

h = hypotenuse (i.e. longest side of a right angled triangle)

a = side

b = base

so, we have to find h or hypotenuse here

h² = (24)² + (18)²

h = 576 + 324 = 900

h² = √900 = 30

c = 30

therefore, value of c is 30.

Hope this answer helps you dear!

What is the sum of all of the interior angles of a regular hexagon?

Answers

The answer is 720 degrees


Answer:

Last time I checked the answer was 720 degrees

p is in the shape of a circle
q is in the shape of a quarter circle of radius 20cm

Answers

Answer:

5 cm

Step-by-step explanation:

Area of circle P with radius r:

A = πr²

Area of quarter circle Q with radius 20 cm:

A = 1/4π*20² = 100π

Area of Q is 4 times the area of P:

4*πr² = 100πr² = 25r = √25r = 5 cm

Area of Q

πr²/4π(20)²/4100π cm²

Now

4(Area of P)=100π4πr²=100π4r²=100r²=25r=5cm

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