An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________

a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)

Answers

Answer 1

Answer:

a. committed a type 1 error

Step-by-step explanation:

The correct option is - a. committed a type 1 error

Reason -

Type 1 error occurs  when a true null Hypothesis is rejected

Type 2 error occurs when a false null Hypothesis is accepted

Now,

Let us state that,

The null hypothesis and alternate hypothesis is

H0 : There is no difference between the mean lifetimes of the new and old designs

H1 : There is a difference between the mean lifetimes of the new and old designs

Now,

As there is no difference between the mean lifetimes of the new and old designs.

⇒ The null hypothesis is true.

But p value suggests that null hypothesis should be rejected

We have committed a Type 1 error that is rejecting a true null hypothesis.

So,

The correct option is - a. committed a type 1 error


Related Questions

Can someone help me ?

Answers

Answer:

The second one doesn't match.

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy

Answers

Tyrell needs to buy 4 cookies

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet

Answers

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%

Answers

Answer:

1. 1/2

2. 99/100

3. 3/20

4. 2

Please help ASAP. Thanks so much

Answers

Answer:

its A

Step-by-step explanation:

a is the answer bestie



A

Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.

Answers

52° is your answer :)

5th grade math. Correct answer will be marked brainliest:

Answers

Answer:

(6,6)

Step-by-step explanation:

Answer:

(6,6)

Step-by-step explanation:

hope this helps have a great day.


Which graph represents the solution set for the inequality: y > x-1

Answers

Answer:

F

Step-by-step explanation:

PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT

Answers

Answer:

False

Step-by-step explanation:

Plug 16 into the function as x

16+12=28

4≠28

How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?​

Answers

Don’t click any links ON THIS AP

Use the data on the dot plot to answer the question.​

Answers

Answer:

5

Step-by-step explanation:

x < 7

Which means 6 and below

only 5 people slept for less than 7 hours

Answer:

5 people

Step-by-step explanation:

Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6

GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units

Answers

Answer:

3 unit is the correct answer

Answer:

3 units

Step-by-step explanation:I took the test

How do you graph x+6y=0

Answers

Answer:

We need to put this equation into either form of a line, pererably, slope intercept form!

Step-by-step explanation:

To do this, out goal is to get y alone.

1. We subtract x on both sides.

2 We divide 6 on both sides.

3. Our answer is y= -x/6 ( negative x divided by 6)

4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.

5. The y intercept is (0,0)

6. From (0,0) point, you go down -1 and move 1 to the right each time!

The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph this equation, start by rearranging it to solve for y.

y = -x/6

Next, plot a few points to fill in the graph.

when x is 0,

y is 0.

When x is 6,

y is -1, and

when x is -6, y is 1.

Finally, connect the plotted points with a straight line.

The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

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In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

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When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4

Answers

Answer:

is that supposed to be a squared x?

9(-4)^2 + (-4) - 5 = 135

9(-4) × 2 + (-4) - 5 = -81

id.k which one is right sorry

F ( x ) = 9 x 2 + ( -4 ) - 5. 18 - 4 - 5. 12-5. 7

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps

If Sally walks 2 meter it takes her 1 second. If she walks 4 meters it takes her 2 seconds and 6 meters takes her 3 seconds. Is this a linear situation? Make a table and plot the points in the table to determine whether the following relationship is linear If it is, write an equation that represents the data.

Answers

Answer:

y=2x

Step-by-step explanation:

2   1

4   2

6   3

A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?​

Answers

Answer:91 years

Step-by-step explanation:

cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura

Answers

Answer:

Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.

Step-by-step explanation:

Answer:

how do you translate?

Step-by-step explanation:

Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.

Answers

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

I need help with this problem please

Answers

Answer:

-9

Step-by-step explanation:

Remove parentheses.

9(−1)2−7

Subtract 77 from 22.

9(−1)−5

Rewrite the expression using the negative exponent rule b−n= 1/bn

91(−1)5

Raise −1 to the power of 5.

9(1/-1)

Divide 1 by −1.

9⋅−1

Multiply 9 by −1.

−9

What is 0.5 (0.1)(1/2)

Answers

Answer:

0.025

Step-by-step explanation:

Please help I need it

Answers

Answer:

A. Yeah

Step-by-step explanation:

A. I think what that guy said is right

Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x

Answers

Answer:

1. 3x-7y and -7y+3x

Step-by-step explanation:

1. 3x -7y and -7y +3x

This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.

2. 3x -7y and 7y -3x

This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.

3. 3x -7y and 3y -7x

This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.

4. 3x-7 and -3y+7x

This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.

Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)

Answers

Answer:

A. (-3,-2)

follow me please
Answer : A. (-3,-2)
This is the correct answer

Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x

A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)

I labeled them all on Desmos & they all seem to lie on it, which is why I need help.

Answers

It’s a hope that helps have a good one

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Option A is the answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]

We need to substitute the values of x and y into the function and see if the equation holds true.

A. (12, 0)

Substituting x = 12 and y = 0 into the function, we get:

[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]

This does not equal y = 0, so (12, 0) does not lie on the graph of the function.

B. (-2, 48)

Substituting x = -2 and y = 48 into the function, we get:

[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]

This does not equal y = 48, so (-2, 48) does lie on the graph of the function.

C. (2, 3/16)

Substituting x = 2 and y = 3/16 into the function, we get:

[tex]f(2) = 3(1/4)^2 = 3/16[/tex]

This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.

D. (0, 3)

Substituting x = 0 and y = 3 into the function, we get:

[tex]f(0) = 3(1/4)^0 = 3[/tex]

This equals y = 3, so (0, 3) does lie on the graph of the function.

Therefore,

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

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Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

solve r/13.7 = 5 for x

please help asap

Answers

Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

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