An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 16 toaster ovens and calculate the average consumption to be 260 W. Answer the following questions:

a. Would you reject the Null at 1% level of significance?
b. Would you say the toaster oven consumes more than 250 W of power if you are willing to commit a Type 1 Error of 2.5%?
c. What is the cut-off Watts at 2.5% level of significance?
d. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 2.5%?
e. What is the cut-off Watts at 1% level of significance?
f. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 1%?
g. Based on these calculations, what happens to Type II error if Type I error is lowered?
h. Based on these calculations, what happens to Type I error if Type II error is increased?


Answers

Answer 1

Answer:

a. No the null hypothesis cannot be rejected at  1% level of significance as the calculated value of z= 2.222 which lies with in 2.333

b. Yes for the  Type 1 Error of 2.5% we say the toaster oven consumes more than 250 W of power because the calculated value 2.22 lies outside the region for 1.96

c. The cut-off at 2.5% level of significance is 258.82 W.

d. 0.85 is the area for Type 2 error.

e. The cut-off at 1% level of significance is 260.485W.

f.  0.154 is the area for Type 2 Error

g. The  Type 2 Error is increased when Type 1 Error is decreased.

h. The  Type 1 Error is decreased when Type 2 Error is increased .

Step-by-step explanation:

The answer is attached.


Related Questions

a pizza shop charges $9 for a large cheese pizza. additional toppings cost $2 per topping. Heather paid $17 for her large pizza. how many toppings did she order. set up and equation and solve

Answers

Answer:

Heather ordered 4 toppings.

Step-by-step explanation:

If the large pizza was 9$, and topping were 2$, than your equation should look like: 4x2 = 8 and 8+9 = 17

PRECALCULUS HELP IM BEGGING YOU

Dean has built a ferris wheel in his backyard. It has a diameter of 10 feet and completes 30 revolutions per minute. Sketch a quick graph and find the period of the function that describes the height above the ground of a seat on the outside edge of this ferris wheel.

Answers

Answer: Period = 2 seconds

Graph is shown below

========================================================

Explanation:

1 minute = 60 seconds

We have 30 revolutions every 60 seconds, so we can write the ratio

30 rev: 60 sec

Divide both parts by 30 to turn that "30 rev" into "1 rev"

30 rev: 60 sec

30/30 rev: 60/30 sec

1 rev : 2 sec

This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.

The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.

Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).

---------------------

The general sine curve equation is

y = A*sin(B(x-C)) + D

where

|A| = amplitudeB = 2pi/T with T being the periodC handles phase shifts (left and right shifting)D handles vertical shifting, and y = D is the equation of the midline

---------------------

The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.

Since T = 2 is the period, this means,

B = 2pi/T

B = 2pi/2

B = pi

We don't have any phase shifts to worry about so C = 0.

The midline is D = 5 since this is halfway up

----------------------

Putting all the pieces together, we get this sine equation

y = A*sin(B(x-C)) + D

y = 5*sin(pi*(x-0)) + 5

y = 5*sin(pi*x) + 5

The graph is shown below.

x = time in seconds, y = height of the seat

Will the difference between 44,041 and 43,876 be greater or less than, 1,000 explain

Answers

Answer:

Less

Step-by-step explanation:

44,041 - 43,876 is 165 and that is less than 1,000.

Two numbers are given 64 and 100 what is the greatest common factor of these two numbers

Answers

Answer:

The common factors of 64 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 64 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 64 and 100 is 4.

Step-by-step explanation:

Which statement about the angle measures is true?
mZBAC + m2ABC = 95
mZBAC + m2ACB = 85
mZBAC-MZABC = 85
mZBAC + m2ACB =95
DONE
My Progress

Answers

Answer:

i think its the 2nd one

Step-by-step explanation:

i really need help o.o please :/

Y is equal to 10 less than 4 times a number.

Answers

Answer:

y=4x-10

Step-by-step explanation:

This would be you equation to graph your line since 4 times a number would be 4x and less then 10 would be negative 10. Remember that -10 is the y-int and 4 is the slope of the line (Use rise over run).

Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?

-Please provide step by step :)

Answers

Answer:

3.5 hours

Step-by-step explanation:

It is given that,

Velocity of first car, v = 20 mph

Velocity of second car, v' = 60 mph

They are moving in opposite direction. Their relative speed is given by :

V = 20 mph + 60 mph = 80 mph

Distance, d = 280 miles

So,

[tex]t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h[/tex]

Hene, they will be 280 mile apart in 3.5 hours.

Median for 49 32 67 55 58

Answers

Answer: The answer is 55

Answer: 32 49 55 58 67 so the answer is 56

show how you would use partial products to solve 3x12​

Answers

Answer:

(10x3) + (2x3)

Step-by-step explanation:

break down the number with two place values (just for this case) and those numbers would be 10+2 so then you multiply each number by 3

:) hope this helps doll!

The required product of 3 × 12 by the partial product method is 36.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The partial product of 3 × 12 is given as
= 3  × (10 + 2)
= 3  × 10 + 3 × 2
= 30 + 6
= 36

Thus, the required product of 3 × 12 by the partial product method is 36.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

a line contains points M(1,3) and N(5,0). What is the slope of MN

Answers

Answer:

-3/4, I believe

Step-by-step explanation:

m= y2-y1/x2-x1

m=0-3/5-1

m=-3/4

**please don't use this answer if you see something wrong with the explanation**

g(x) = 3x - 2 Find g(-4)

Answers

Step-by-step explanation:

g(x) = 3x - 2

g(-4) = 3(-4) - 2

= -12 -2

= -14

Answer:

Given : g(x) = 3x-2

To find : g(-4)

Step-by-step explanation:

Solution : put g(x) = -4

Now,

g(-4) = 3(-4)-2

=-12-2

=-14

So,the g(-4) is -14....

I hope this may help you ❤️

The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.

12 oz: $
per oz
16.3 oz: $0.38 per oz

28 oz: $
per oz
64 oz: $
per oz
Which size is the best deal?

Answers

4.20/12 = 0.35$
6.19/16.3= 0.38$
8.40/28 = 0.30$
21.12/64 = 0.33$

Answer:
The best deal is the 28oz container of peanut butter.

Answer:

The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.

12 oz: $

✔ 0.35

per oz

16.3 oz: $0.38 per oz

28 oz: $

0.30

per oz

64 oz: $

✔ 0.33

per oz

Which size is the best deal?

✔ 28 oz

Step-by-step explanation:

I just copied and pasted it on here

finding slope hw1 ( HELP PLEASE)

Answers

This image is unreadable, please repost the same image up close and or with better quality

If a = 6,b=8, then what is 3ab?

Answers

Answer:

144

Step-by-step explanation:

3(6x8)

3x48

144

Answer:

144

Step-by-step explanation:

3 mutiplied by a, or 6, is 18.

18 Multiplied by b, or 8, is 144.

Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard model, while the other is the Deluxe model. The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40. The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of inspection time. The company must fill an order for 6 Deluxe models. There are 450 minutes of assembly time and 180 minutes of inspection time available each day. How many units of each product should be manufactured to maximize profits?

Answers

Answer:

34

Step-by-step explanation:

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The River Springs Middle School SGA wants to put on an 8th grade field trip to Universal Studios. They need to raise at least $1250 for the entire 8th grade to be able to go.Mrs Gotlib donates $600.To raise the rest of the money,SGA will sell candy bars for $5 each. Which inequality represents how many candy bars SGA will need to sell.


Please help me with this problem, i will give the max points.

Answers

Answer:

600+5c greater than or equal to sign 1250

Step-by-step explanation:

They need to raise at least 1250$ but they can also raise more than that and we do not know how many candy bars they will be able to sell.

Simplify (4b+15-7k)-(6-4b+2k)

Answers

Answer:

8 b − 9 k + 9

Step-by-step explanation:

Answer:

9k+9

Step-by-step explanation:

(2 + y) +z = (y + 2) + z

Answers

Answer:

It’s probably infinitely many solutions

Step-by-step explanation:

See attached picture

*sorry if that doesn’t help

A narrator that uses what point of view could be a know it all

Answers

False what..... this doesn’t make sense

Suppose 435 students in a school are placed on teams for Play Day. Each team consists of more than two players and fewer than 30 players. All teams will have the same number of players. What size of teams are possible? How many teams of each size are possible?

Answers

Answer:

14.5

Step-by-step explanation:

divide

Can someone help and tell me how you got the answer

Answers

Answer:

x = 15

Step-by-step explanation:

x/3 + 10 =15

Subtract 10 from each side

x/3+10-10 =15-10

x/3 = 5

Multiply each side by 3

x/3*3 = 5*3

x=15

Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
–15+ (-25) + 43
1/7+(-1)+2/7
120+80+(-65)
40+10+(-12)

Answers

Answer:

i believe it is the 2rd one if I am roung I am very sorry

Answer:

B 1/7+(-1)+2/7 hope that helps

Step-by-step explanation:

Seven more than the cube of a number

Answers

Answer:

7+x^3

it cannot be simplified

Mr.Martin agreed to pay 4/5 of the 60 dinner bill how much will mr.Martin pay.WILL GIVE BRAINLIST

Answers

Answer:

he paid 48 dollars

Step-by-step explanation:

its 48 because he payed 4/5  which is 80 percent of 60 and 80 percent of 60 is 48

The Photography Club has 14 members, 10 girls and 4 boys. What is the ratio
of girls to boys in the Photography Club?
A. 5:2
B. 2:5
C. 1.2

Answers

Answer:

A

Step-by-step explanation:

Divide them both by 2 an you get 5 and 2. Since the question says girls to boys then you out the girls first. so 5:2

What is √75 in simplest form? A. 25√3 B. 3√5 C 5√3 D. 5√50​

Answers

Answer:

c.

Step-by-step explanation:

The square root of 75 is approximately 8.66025 or 5√3 in radical form. The factors of 75 can help in finding its square root.

Hope this helps:)

Answer: the answer is C! I hope this helped! :)

Step-by-step explanation:

please help!!!!!!!!!!!!!

Answers

Answer:

It is 5x - 9 = 21

Step-by-step explanation:

OOF DELTA MAtH suCKS

Solve for v. 4v = 10.24

Answers

Answer:

I believe the answer is V = 2.56

Step-by-step explanation:

10.24 divided by 4 is 2.56. And 2.56 times 4 is 10.24.

Is 3125 a perfect cube ? If not find the smallest number by which 3125 must be multiplied so that the product becomes a perfect cube.

Answers

Answer:

Yes it is

Step-by-step explanation: 3125 is a prefect cube

Answer:

5

Step-by-step explanation:

3125 is not a perfect cube.

The cubes around it are 14^3=2744 and 15^3=3375.

It seems like the only way to find the smallest number to multiply 3125 to make it a perfect cube is to guess and check.

3125*2=6250 cube root is 18.4

3125*3=9375 cube root is 21.08

3125*4=12500 cube root is 23.2

3125*5=15625 cube root is 25, which makes it a perfect cube.

You have to multiply by 5 to make 3125 a perfect cube.

Each package of hot dogs has 10 hot dogs and each package of hot dog buns has 8 Danny experts to need 72 hot dogs for a class picnic how many packages of hot dogs buns should Danny get?

Answers

Answer:

9

Step-by-step explanation:

Other Questions
The sodium-potassium pump is a membrane protein that pumps sodium out of the cell and brings potassium in. It does this against the concentration gradients; in other words, it pushes both molecules from areas of low concentration to areas of already high concentration. What type of transport is this?a.passive transport, which requires energyb.passive transport, which does not require energyc.active transport, which requires energyd.active transport, which does not require energy example of two whole numbers with a product of ten let f(x) = 5x + 6if f(x) = 31, find x based on paragraph 5, what inferences can you draw about Miras attitude to the United States? I need some help with thissss The value of y varies directly with x. When y=4, x=12. What is the value of y when x is 42 whats 5+5??????????????????????? A bus is moving at a constant speed of 30 m/s. How many hours will it take to travel 200 miles? Officer Barnes has been pulling over speeders all night. Some drivers he tickets, some he doesnt. If Officer Barnes acts according to the theory of radical criminology, which driver is LEAST likely to receive a speeding ticket?a young teenager who just got her first cara poor truck driver who is trying to make a deadlinea famous actress who is on her way to the airporta group of construction workers headed home for the day Guys please what is the answer of 6y+-2 What was promised to southern states that allowed slaves to join the Continental Army? What was the response of southern states? 2) Which word BEST describes Alisa?A) bossyB) lonelyselfishD) influentialThink its (c)-Selfish. I dont know the property of the atmosphere that describes weather circulating air motions will be strong or weak is called If the pH of a solution increases by 2 units (e.g., from 3 to 5), then the ratio of the new to the original hydronium ion concentration is 1. 648,400 seconds into days Which angles pairs with the names? I just need a simple checklist :). molecules move in and out of a cell by diffusion. the picture shows a cell molecules both inside and outside the cell how will the molecules in this illustration move as a result of diffusionout of the cellinto another cellto the extern environment into the cell A one-tailed hypothesis test with the t statistic Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions. Suppose you have a sample of 40 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of disgust. The average 16-year-old has a score on the emotion recognition scale of 11.80. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 16-year-olds. Stated using symbols:_________. This is a __________ tailed test. Given what you know, you will evaluate this hypothesis using a________ statistic. Please help!! Thank you! Data Table 2: Distance from the SunPlanet NameDistance from Sun (m)Saturn11.43 x 102Jupiter7.79 x 101Mars2.28 x 10"Neptune4.50 x 1021. What is the gravitational force between the Sun and each of the 4 planets listed fromthe solar system?