In the​ past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result.
The hypotheses​ are:
H0: μ = 8.6 hours
Ha: μ > 8.6 hours
where μ is the mean running time of the new batteries.
Explain the meaning of a Type II error.A. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is greater than 8.3 hours. B. The manufacturer will decide the mean battery life is less than 8.3 hours when in fact it is greater than 8.3 hours. C. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is 8.3 hours. D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours. E. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is 8.3 hours.

Answers

Answer 1

Answer:

H0: μ = 8.3 hours

Ha: μ > 8.3 hours

We need to remember that a type of error II if the error associated when we NO reject the null hypothesis when actually the alternative hypothesis is true. And is also known as false negative. The best answer for this case would be:

D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours.

Since we are FAILING to reject the null hypothesis when the true mean is actually higher than the value specified

Step-by-step explanation:

For this case we want to determine if mean running time has increased as a result of the new change so then the system of hypothesis are given by:

Note: we assume that the value to check in order to be consistent with the options is 8.3

H0: μ = 8.3 hours

Ha: μ > 8.3 hours

We need to remember that a type of error II if the error associated when we NO reject the null hypothesis when actually the alternative hypothesis is true. And is also known as false negative. The best answer for this case would be:

D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours.

Since we are FAILING to reject the null hypothesis when the true mean is actually higher than the value specified


Related Questions

Helpppp plzzzz what is the measure of /_x

Answers

Answer:

100

Step-by-step explanation:

Jake received $300 for his birthday. He must decide how much of it to save and how much to spend. His bank has a 5% interest rate. How much more would be in his account after 5 years if he saved $300 than if he saved $250?

Answers

Answer:

Assuming no compounding, given an interest rate of 5%, after 5 years the $300 dollars become:

300*(1+5%)^5= $382.884469

By saving $250 instead,

250*(1.05)^5=319.07039

The difference is 382.8845-319.0704= 63.8141

Step-by-step explanation:

The formula is FV=PV*(1+r%)^T

Where:

FV- future value

PV- present value

r%- interest rate

T- Time (usually in years)

Please can someone help?
I will give you brainliest and points :)

Answers

Answer:

216 ft³

Step-by-step explanation:

A cone has 3 sides

72ft³ times 3 is 216 ft³

Answer:

216 ft by 3

Step-by-step explanation:

This is my alt account btw so don’t brainliest this account, the other one.

Please help me I’ve been stuck for awhile

Answers

Hey there! I'm happy to help you out!

Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.

Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.

100%-15%=85%

This means that $R is 85% of $P (100%).

Answer A is not correct because 0.85% is less than 1%, which is not 85%.

Answer B is not correct either because 0.15% is also less than 1%.

Answer C is correct because $R is 85% of the original cost.

I hope that this helps! Have a wonderful day!

please help me to find the correct answer

Answers

Answer:

Step-by-step explanation:

1) Your calculator can evaluate f(-5) for you. It will be ...

  f(-5) = (1/3)^(-5) -3 = 243 -3

  f(-5) = 240

So, a point on the graph is (-5, 240).

Other points on the graph will be (1, -8/3), (0, -2), (-1, 0), (-2, 6).

__

2) The given function f(x) can be written as ...

  f(x) = (1/3)^x -3 = (3^-1)^x -3 = 3^-x -3

So, the transformed function is transformed by adding 1, changing the horizontal asymptote from -3 to -2. The whole graph is translated upward one unit. Each of the above-listed points will have 1 added to its y-value.

Express 30p as a fraction of £3.00

Answers

Answer:

[tex]\frac{1}{10} \£[/tex]

Step-by-step explanation:

We know that £1 equals 100p.

Knowing this relation, we can use the rule of three

[tex]30p \times \frac{ \£1}{100p} =0.3 \£[/tex]

Then, we form the fraction

[tex]\frac{0.3 \£}{\£ 3.00} =\frac{3}{30} =\frac{1}{10} \£[/tex]

Therefore, the fraction of of £3.00 is

[tex]\frac{1}{10} \£[/tex]

5. Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a
distance of 5 units from the x-axis and 3 units from the y-axis. Jeffrey places a treasure at point J, and
Garrett places one at point G. Who put the treasure in the right place? Explain how you know.

Answers

Answer:

Garret placed the treasure at the right place.

Step-by-step explanation:

The Cartesian plane can be used to locate the position of any given point with a coordinate. It consists of two numbered lines perpendicular to each other and intersecting at point zero of the lines.

From the statements given, 5 units from x-axis is not the same as 5 units on x-axis. Also, 3 units from y-axis is not the same as 3 units on y-axis.

So, distance 5 units from x-axis implies that a point 5 units after the x-axis. And also, distance 3 units from y-axis means 3 units after the y-axis.

With these conditions of the coordinate of the treasure, Garrett placed the treasure at the right place.

Answer:

carl amd melly was so kind

To solve the equation, -6(x + 2) = 30, you can distribute the negative number and then use the

Answers

-6(x+2)=30
-6x-12=30
-6x=18
x=-3

Solve for yyy.
6=2(y+2)
y=

Answers

y = 1, hope this helps!

What does X equal please help I don’t want to do summer school!!!

Answers

Answer:

180-165 = 15 (remember how a line is always 180 degrees)

Answer:

15

Step-by-step explanation:

Since 180-165=15. That is the answer for x.

PLZ MARK BRAINLIEST!!!

Mr. Otsuki has 25 bills worth $300. He has $5, $10, and $20 bills. How many of each type of bill could he have if he has exactly ten $20 bills and at least nine $5 ...

Answers

Answer:

Mr. Otsuki could have:

10 $20 bills

5 $10 bills

10 $5 bills

but there are many other ways.

Step-by-step explanation:

We already know that Mr. Otsuki already has at least $245.

10 $20 bills - $200

at least 9 $5 bills - $45

300 - 245 = 55

55 can be made up in many different ways

5 tens + 1 five

9 fives+ 1 tens

4 tens + 3 fives

5 fives+ 3 tens

2 tens + 7 fives

So there are like five answers to this question:

A.

10 $20 bills

5 $10 bills

10 $5 bills

B.

10 $20 bills

1 $10 bills

9 $5 bills

C.

10 $20 bills

4 $10 bills

3 $5 bills

D.

10 $20 bills

3 $10 bills

5 $5 bills

10 $20 bills

2 $10 bills

7 $5 bills

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1

Answers

Answer:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

Step-by-step explanation:

We assume that the distribution for the random variable is:

[tex] X \sim N (\mu=0 , \sigma=1) [/tex]

For this case we want to calculate the following probability:

[tex] P(z<1.13)[/tex]

And we can use the normal standard distribution or excel and we got:

[tex] P(z<1.13) = 0.8708[/tex]

And the best option would be:

[tex] 0.8708[/tex]

What is 50% of 30 and what is 30% of 10

Answers

Answer:

50% of 30 is 15.

30% of 10 is 3

Quickly Please!
Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0

Answers

Answer:

3x^2-10x+6=0

Step-by-step explanation:

3x^2-10x+6=0

Δ=10^2-4*3*6=100-72=28

V28=V4*7=2V7

x1=(10+2V7)/6=2(5+V7)/6=(5+V7)/3

x2=(5-V7)/3

Answer:

d

Step-by-step explanation:

edge

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Adding the negative value in front of x flips the graph lacrosse the Y axis and compressed it vertically.

The answer is C.

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

Sara can type 80 words a minute.
How many words can be typed in 6.5 minutes?

Answers

Answer:

520

Step-by-step explanation:

80 times 6.5 = 520

so she can type 520 words in 6.5 mins

Answer:

The answer would be 520

Step-by-step explanation:

We have 80 words per minutes:)

It asks how much words can we type in 6.5 minutes.

well if we do 80 words per minute we can multiply the values

80 words x 6 minutes is 480

But wait we have .5 left

so we do 80 divided by 2 and get 40

then we go 480 plus 40 and get 520

we could have straight out multiplyed it and got this but thats no fun.

520 Words for 6.5 mins :)

Can i get brainliest

a) what is the theoretical probability of landing on A ? write fraction in simplest form .

Answers

Answer:

13/50; 13/50

Step-by-step explanation:

a): Theoretical=# of favorable outcomes/# of total outcomes

To find the total, add 21+26+25+28, which is 100

A has a frequency of 26.

That would be 26/100, which is also 13/50

b): Experimental probability is based on the amount of times the spinner is spun. Since A is the only vowel in "MATH", we would take that fraction and multiply it by 100, or the number of times.

13/50*100=13*2=26

Put that over 100, which would be 26/100, which is also 13/50.

Hope this helped! Have a good rest of your day!

Which point lies on the Y axis been on the X axis (0,0) (0,-3) (1,3) (3,0)

Answers

Answer:

(0,-3)

Step-by-step explanation:

Answer: The second number goes on your X axis and the first number goes on your Y axis .

Step-by-step explanation:

(0,0)=Y,X

What is the square root of -1?

Answers

Answer:

i

Step-by-step explanation:

i means imaginary because whatever you try you can't get a number which squared gets a negative number.

Which best describes the range of numbers that satisfy the inequality x> 124?
The range of numbers has an upper limit but no lower limít.
The range of numbers has a lower limit but no upper limit.
The range of numbers has a lower limit and an upper limit.
The range of numbers has neither a lower limit nor an upper limit.

Answers

Answer:

Answer shown below

Step-by-step explanation:

The range has a lower limit but no upper band limit

(124, infinity)

Answer:

B: The range of numbers has a lower limit but no upper limit.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

I took the test and I got 100%.

A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.

Part A
Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
A. b = 13g
B. b = 12g
C. b = 23g
D. b = 32g

Part B
Which equation relates the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
A. p = 13b
B. p = 12b
C. p = 23b
D. p = 34b

Answers

Answer:

Part A = B.

Part B = A.

Step-by-step explanation:

How many milliliters is 719.01 liters?

Answers

Answer:

719010

Step-by-step explanation:

Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 glasses the first hour and 10 glasses each hour after that . How many glasses will each person have sold after 5 hours?

Answers

Answer:

max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour

4 hour × 10 p/h= 40

max sold 12+40 =52

leah will sell 58 because the first hour she sold 8

5hours - 1hour = 4 hours

4hours× 10 glasses p/h = 40

leah sold 40+8 =48 glasses

If Max and Leach sold 10 glasses each hour then after Max sold 52 glasses after 5 hours and Leach sold 48 glasses after 5 hours because it forms arithmetic progression.

What is an arithmetic progression?

It is a type of sequence in which each number have a common difference from the other number. The nth term of an arithmetic progression can be calculated as a+(n-1)d.

How to calculate nth term of an A.P.?

For Max we have been given that the first term is 12 and the common difference is 10.

After 10 hours the glasses which Max will sell as 12+(5-1)*10

=12+40=52 glasses

For Leach we have been given that the first term is 8 and the common difference is 10.

After 5 hours the glasses which Leach will sell as 8+(5-1)*10

=48 glasses.

Hence the number of glasses will be 52 and 48 glasses for Max and Leach.

Learn more about arithmetic progression at https://brainly.com/question/13989292

#SPJ2

Find the value of x. Round to nearest tenth.
A. 24.2
B. 17.0
C. 20.1
D. 16.0

Answers

Answer:

The answer to the question is A

Find the mean for each set of data.
3. cost of tennis shoes: $57, $63, $60, $59, $61

Answers

Answer: the men’s of this set of numbers is 60

Step-by-step explanation:

Add all the numbers together and then divided but the amount of numbers in the set

In the number 6,789,043, which digits is in the millions place?

Answers

6 is in the millions place.
It has six zeroes after it.

Answer:

the number 6 is in the millions place

Step-by-step explanation:

the millions place is the sixth digit in the number family

and it also has six numbers after the number

Estimate a 15% tip on a dinner bill of $52.87 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

$ 7.9

Step-by-step explanation:

Amount of bill = $52.87 = $52.9

Amount of tip = 15% of $52.9

[tex] = \frac{15}{100} \times 52.9 \\ \\ = 0.15 \times 52.9 \\ = 7.935 \\ = \$ \: 7.9 \\ [/tex]

Which are the center and radius of the circle with this equation?
x^2 - 4x + y^2 + 2y = 0

Answers

Answer:

C = (2, - 1)

[tex]r \: = \: \sqrt{5} [/tex]

Step-by-step explanation:

Look at the picture

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose that sugar is added to the tank at a rate of p pounds per minute that sugar water is removed at a rate of 1 gallon per minute and that water in the tank is kept well mixed. What value of P should we pick so that that when 5 gallons of sugar solution is left in the tank the concentration is .5lbs of sugar/gallon?

Answers

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let [tex]S(t)[/tex] be the amount of sugar in the tank at time [tex]t[/tex]. Then [tex]S(0)=25[/tex].

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

[tex]\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}[/tex]

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

[tex]\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}[/tex]

Separate variables, integrate, and solve for S.

[tex]\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt[/tex]

[tex]\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt[/tex]

[tex]-100\ln\left|P-\dfrac S{100}\right|=t+C[/tex]

[tex]\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t[/tex]

[tex]P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}[/tex]

[tex]\dfrac S{100}=P-Ce^{-100t}[/tex]

[tex]S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}[/tex]

Use the initial value to solve for C :

[tex]S(0)=25\implies 25=100P-C\implies C=100P-25[/tex]

[tex]\implies S(t)=100P-(100P-25)e^{-100t}[/tex]

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

[tex]1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}[/tex]

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

[tex]S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}[/tex]

What is the square root of -1?
-j.
-1

Answers

Answer:

Its not a real number for the square roots of negative number

its not possible... [tex]\sqrt{-4}[/tex] = -2 x -2   no...   2 x 2   no..... -2 x 2 yea but thats not square root anymore...

Step-by-step explanation:

Give me brainliest!!!

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