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

Solve the exponential equation.

(½)x = 32

-5
1/5
-1/5

Answers

Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Answer:Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Step-by-step explanation:

5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4),
(2, 2), (6,3), and (5,5). Find the measure of the longest diagonal.​

Answers

Answer:

idontknow

Step-by-step explanation:

Answer:

first you need to understand what is a diagonal then if you understand them you can use the opposite coordinates to calculate the diagonals using the distance formula for example [tex] [/tex][tex]d = \sqrt{(x - x) { }^{2} } + \sqrt{(y} - y) {?}^{2} [/tex]then after that you will subtitute the for x of opposite vertices same for y make sure if you get an answer you take a positive square root if i a root

Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day.
Animals Balloons
20 180
29 144
38 108

How many balloons does Amira use for each balloon animal?

Answers

She used 4 balloons for each anima

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?

Answers

If you drove at 80mph it would take you approximately 3 hours

This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.

25% of 4 hours is 1 hour

4 hours - 1 hour = 3 hours

You deposit $2700 in an account that pays 3% annual interest compounded weekly. How much money is in the account after 5 years?

Answers

Answer:

A = $3136.86

Step-by-step explanation:

Given the following data;

Principal = $2700

Interest rate = 3% = 3/100 = 0.03

Number of times = 52

Time = 5 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2700(1 + \frac{0.03}{52})^{52*5}[/tex]

[tex] A = 2700(1 + 0.0005769)^{260}[/tex]

[tex] A = 2700(1.0005769)^{260}[/tex]

[tex] A = 2700(1.1618)[/tex]

A = $3136.86

Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?​

Answers

Answer:He has 63 dimes

Step-by-step explanation:

Hope this helps!

24% of 150=36

51+36=87

150-87=63

help me please if you know the answer

Answers

Answer:

D as 32 divided by 8 is 4

Step-by-step explanation:

A quotient is a result obtained by dividing one quantity by another.

Answer:

The second choice is the correct answer. d/8=4

Step-by-step explanation:

if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.

To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.

What is the slope of a line that includes the points (-4,1) and (10,-6)?

Answers

Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

insert points

[tex]\frac{1-(-6)}{(-4)-10}[/tex]

solve

[tex]\frac{7}{-14}[/tex]

[tex]\frac{-1}{2}[/tex]

2. The amount of sap that is collected from
six sugar maples from a 12-acre forest of
sugar maples that are being tapped.
Population:
Sample:

Answers

Population: six sugar maples
Sample: sap

The temperature at noon is 7 less than twice the temperature at 6:00 a.m. At noon it is 61 degrees. The temperature at 6:00 a.m. is t degrees. what is the temperature at 6:00 a.m.?

Answers

Answer:

34 degrees

Step-by-step explanation:

The equation that represents this situation is

2t - 7 = 61

to solve, start by adding 7 to both sides

2t = 68

then divide both sides by 2

t = 34



z^m-n (z^m+ z^m+n + z^n)

Answers

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

Hellppp plzzz !!!! I will mark Brainly edit

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Hope this helps! Have a nice day!

I need help please asap

Answers

Answer:

Part B

How does this change in setting affect Miguel? Choose two answers.

A.

Miguel asks his mom if he can transfer to a different middle school.

B.

Miguel becomes a more focused student.

C.

Miguel begins to struggle in his Language Arts class as well.

D.

Miguel makes a new friend.

Step-by-step explanation:

Compare the fractions using the LCM.
3/5 and 1/4​

Answers

Answer:

20

Step-by-step explanation:

given that a>0 compare a+20/40 and a+10/20

Answers

Answer:

a+20/40 < a+10/20

Step-by-step explanation:

what is 3p-5= -44
can anyone answer this

Answers

P=-44 is the correct answer
p=-13

3p-5=-44
add 5 to -44 which equals -39

3p=-39
divide 3 by -39 which equals -13

giving brainliest *easy*

Answers

Answer:

Think it 89mm

Step-by-step explanation:

What is the area of the triangle at the right?

Answers

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

In the sketch below, two parallel lines are cut by a transversal.

Answers

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

how many miles can u drive in 1 hour

Answers

you can drive 40 miles in one hour. Depending on how good your gas mileage is, or just the speed of the car itself, you will be able to go farther.

╔═.✵.══════════╗

      A  N  S  W  E  R

╚══════════.✵.═╝

✩ ✩ ✩

It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.

MPH = Miles Per Hour

Hope this helped, love!  ✩ ✩ ✩

Use the Distributive Property to
REWRITE 5(p - 8)

Answers

The answer would be 5p-40
multiple 5 by p and -8 individual to get your answer!

5p - 40

4. Write an equation of a line that passes
through the points (-5, -11) and (-2,1).

Answers

Answer:

y=4x+9

Step-by-step explanation:

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

m=(1-(-11))/(-2-(-5))

m=(1+11)/(-2+5)

m=12/3

m=4

y-y1=m(x-x1)

y-(-11)=4(x-(-5))

y+11=4(x+5)

y=4x+20-11

y=4x+9

Michael has $1,076.98 in his checking account. He is going to spend $536.32 on a new television, and he will spend the rest on
speakers that cost $47.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?

Answers

Answer:

11

Step-by-step explanation:

Memorial Day Spending The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. What are the observational units

Answers

Answer:

households

Step-by-step explanation:

An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.

In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.  

The observational units in this will be households.

What will be the observational unit?

An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.

In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.

So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.  

Thus the observational units in this will be households.

To know more about Observation follow

https://brainly.com/question/25843544

Please helpppppppppp

Answers

Answer:

77 cubed in.

Step-by-step explanation:

I think it is 77 cubed inches because the formula is V-bh

Raul wants to buy a new bike from a store having a 10% off sale on
all bikes. The bike he wants has a sale price of $135. Write and solve
an equation to find the original price, b, of the bike.
by

Answers

Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.

If 5 hamburgers cost $10, what is the cost for 3 hamburgers?

Answers

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

The difference between x and 8 is equal to 15

Answers

Answer:

x = 23

Step-by-step explanation:

15 + 8 is 23 so x = 23

????????????????????????????

Answers

It would be 12.5 square miles I would appreciate the Brainliest

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.

Answers

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by the formula ...

   C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

  1/2C = (1/2)π(20 m) = 10π m

The penguin swam 10π meters.

Answer:

10pi

Step-by-step explanation:

The circumference of the island is given by the formula ...

  C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

 1/2C = (1/2)π(20 m) = 10π m

Other Questions
what is 2+2 is 4 - 1 =??Know your memes! 8Allan's car uses 1 litre of fuel to travel 12 km. How much fuel will be needed to travel420kmn? PLEASE HELP ASAPBRAINLIESTHAVE 10 MINUTES 1Answer the following questions.electromagneta)What are magnetic and non-magnetic substances?b)Write any five properties of a magnet.(c)What are the laws of magnetic poles?(d)What are the methods of avoiding demagnetization?How can an iron nail be magnetized permanently? Show withof a diagrama (1)What is an electromagnet? Can we make an electromagneo; (g) Which type of magnetic body, hard or soft, is preferredelectromagnet and why? (n) is an electromagnet temporary or permanent magnet? V(0)How can you increase the strength of an electromagnet()What are the uses of electromagnets?muis an electromagnet made?copper? Why? i really need someone to help!! ill give brainlist and 50 points! What did Sam Houston get from the Texan victory?? Can anyone help pls ? This is my last question pls Can someone please give me the answer I will mark u brilliant Question how did the religions of India effect other cultures? Can anyone help with this question pleasee Who calls you are creepy person when you just ask or their names?! Tell me what you would do if your "friend" did that to you? Which physical feature that is also an important protected natural park is located in East Africa? * g In the Shaping Department of Crane Company the unit materials cost is $2.00 and the unit conversion cost is $1.50. The department transferred out 7000 units and had 1500 units in ending work in process 20% complete. If all materials are added at the beginning of the process, the total cost to be assigned to the ending work in process is $1050. $5250. $3000. $3450. 18. Please type the correct conjugation for each verb. Make sure your answers are in lower caseincluding the first letter. The verb is escribirla profesora(1 Point)Enter your answer Read the excerpt from Tools of the Spymaster."The numbers that Major Tallmadge assigned to members of the Culper Ring were from a secret writing system he invented. He substituted digits for words that would be used in messages. "Long Island," for example, was 728, "arms" was 7, and "city" was 88. There was a number for each month, such as 341 for "January." He made four copies of his codes. He kept one and gave the others to Woodhull, Townsend, and General Washington. For words that did not have a number code, Tallmadge gave his agents a cipher. In a cipher, each letter in a message is replaced by another letter or a number.The authors purpose in this excerpt is toteach readers about a code system used during the American Revolution.persuade readers that ciphers are the greatest American invention.argue that Major Tallmadge made a mistake in sharing copies of his codes.compare the American codes for secret letters to the British codes. What is the center of the data in the dot plot?Number of Science Homework Assignments Each WeekA dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots.22.535 line mDETSelect all the statements that apply to this figure.A mis perpendicular through P to T.B C, D, E, and F are coplanar in T.CD, P, and F are collinear.D FC is longer than DF.E DE and PF are coplanar in T.Help asap please I need help on this question ASAP please At a hydroelectric power plant, potential energy is changed into kinetic energy. The kinetic energy is then transformed into electrical energy. i What is the source of the energy that turns the turbine in the power plant? Chemical energy of water molecules as they fall Gravitational potential energy of water behind the dam Elastic potential energy of the water molecules as they bounce over the dam Electrical energy from power lines that connect the hydroelectric plant to a grid PLEASE HELP!!!Which point is located at (8, 6)?On a coordinate plane, point A is 8 spaces to the right and 6 spaces up. Point B is 8 spaces to the right and 8 spaces up. Point C is 6 spaces to the right and 8 spaces up. Point D is 6 spaces to the right and 6 spaces up.ABCD Potassium-40 has a half-life of 1.3 billion years. If a rock wasdetermined to be around 3.9 billion years old what percentageof the original potassium-40 would be left in that rock sample?