A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1000 hours. As part of the quality assurance program, the manufacturer will institute an inspection program for each day's production of 10,000 units. An ordinary testing procedure is difficult since 1000 hours is over 41 days! Since the lifetime of a bulb decreases as the voltage applied increases, a common procedure is to perform an accelerated lifetime test in which the bulbs are lit using 400 volts (compared to the usual 110 volts). At such a voltage, a 1000-hour bulb is expected to last only 3 hours. This is a well-known procedure, and both sides have agreed that the results from the accelerated test will be a valid indicator of lifetime of the bulb.

The manufacturer will test the hypotheses H0 : µ = 3 versus Ha: µ < 3 at the α = 0.01 significance level with a simple random sample of 100 bulbs.

a. Describe what a Type I error would be in this context.
b. Describe what a Type II error would be in this context.
c. Which error—Type I or Type II—is likely to do more damage to the manufacturer’s relationship with the consumer? Explain.

Answers

Answer 1

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point a:

In this sense, describe what type of error I will be.

Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.

In point b:

Describe throughout this context what the Type II error becomes.

An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least

In point c:

What error — type I and type II — would further impact the interaction between the manufacturer and the customer?

A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.


Related Questions

According to the DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Identify the underlined values as parameters or statistics and give the appropriate variable. Spell out phat, x-bar, mu, sigma for the variable names. Which of the following statements istrue?

a. 19% and 23% are parameters, 100 is a statistic.
b. 23% is a parameter, 19% is a statistic.
c. 23% is a statistic, 19% is a parameter.
d. 19% and 23% are statistics, 100 is neither a parameter nor a statistic.
e. 19%, 23%, and 100 are all statistics.

Answers

Answer:

b. 23% is a parameter, 19% is a statistic.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

23% of all cars manufactured in 2012 were white.

This is from the population(all cars), so 23% is a parameter.

In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.

100 is the size of the sample, which is neither a parameter, nor a statistic.

19% is from the sample of 100, so it is a statistic.

The correct answer is given by option b.

Given the points (8,9) and (2,7) find the slope I need help

Answers

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

Question number 1 Which measurement uses square units?

Answers

Answer:

i thought i already answered this but the answer is  area

Step-by-step explanation:

Can someone help me with the vertex of the parabola

Answers

Answer:

The vertex is (-1.5, 11.25)

Step-by-step explanation:

Mr. Taylor has 24 sports trophies. Of the trophies, 1
8 are wrestling trophies. How many
wrestling trophies does Mr. Taylor have?

Answers

Answer: 18 wrestling trophies.

Step-by-step explanation:

Lia cut a long piece of into 2 pieces. One pieces of the string is 24 inches long, and the other piece of the string is 12 inches long. How many feet long was the piece of string before lia cut it?​

Answers

Answer:

24+12=36you find the total length

Answer:

3 feet

Step-by-step explanation:


15 * 3/5


14. Will the product be greater than 15?

Answers

Answer:

No

Step-by-step explanation:

When you divide by a fraction or a decimal you are essentially multiplying that by something lesser than one and so the Calculator, if you are using a Calculator to solve this will, see multiplying something by a decimal or a fraction as a division and vice versa.

ASTRONOMY!!!
How does the Sun affect electrical power on Earth?
A. Geomagnetic storms can cause surges in power lines that can damage transformers.
B. UV radiation from the Sun causes overheating of transformers.
C. X-rays may damage nuclear reactors by causing stray radiation
D. High-energy radiation interferes with electron in cabling and causes loss of electricity.

Answers

Answer:

I think it's

B. UV radiation from the Sun causes overheating of transformers.

Sorry if i'm wrong.

find the sum of the first 10 terms of the following sequence 4, -16, 64​

Answers

Answer:

838860

Step-by-step explanation:

How do you find the sum of the first 10 terms?

To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +

Example: Add up the first 10 terms of the arithmetic sequence:

a = 1 (the first term)

d = 3 (the "common difference" between terms)

n = 10 (how many terms to add up)

What is the sum of the first 10?

The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.

Melinda and Davy are making postcards to announce their new address. The table shows the number of postcards they can make together during each hour they are working. If they continue to make postcards at this rate, what is the total number they will make in 6 hours? Postcards
Number of Hours Number of Postcards
1 7
2 14
3 21

Answers

Answer:

3

Step-by-step explanation:

7. Simplify
(12p27
(2p2q6)​

Answers

Answer: 7776p^2q

Step-by-step explanation:

     

I need to know this fast

Answers

Answer:

396 Square feet

Step-by-step explanation:

1.) First find the side closest to you. 6 x 12 = 72. Then double it to match the parallel side. 72 x 2 = 144

2. Find the side to the right and left, 7 x 6 = 42. Then double it to match the parallel side. 42 x 2 =84

3.) Find the top side and bottom side. 12 x 7 = 84. Then double it to match the parallel side. 84 x 2 = 168

4.) Find the total surface area. 144+84+168=

5.) The total surface area is 396 square feet

Let me know if I am incorrect

Write and solve an equation to find the missing dimension of the prism.
Volume = 1620 cm3
h
9 cm 9 cm
Equation:
Height:
cm

Answers

Height of prism is 20 cm

Calculation of rectangular prism:

Given that;

Volume of rectangular prism = 1620 cm³

Length = 9 cm

Width = 9 cm

Find:

Height of prism

Computation:

Volume of rectangular prism = (l)(b)(h)

So,

(9)(9)(h) = 1620

(81)(h) = 1620

h = 20

Height of prism = 20 cm

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Which value for x makes the sentence true? 1/10 + x = 1/7

Answers

Answer:

3/70

Step-by-step explanation:

change 1/10 and 1/7 so the denominator (bottom number) is the same.  1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.

What is -5b +-2=-29? Worth 23 points!

Answers

Answer:

b = 5.4

Step-by-step explanation:

-5b - 2 = -29

      +2    +2  

-5b = -27

divide by -5

b = 5.4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

There are at least 12 people on the bus. Three people get on the bus at the next stop and no one gets off, Write an
inequality that represents the number of people who may be on the bus now.
Explain your thinking

Answers

Answer:

12-3 may be 9

Step-by-step explanation:

12-3 may =9 if those people did not get off

Hi. I need help with the following questions. ( These arent multiple choice)

Layout:

1.

2.

3.

Answers

Answer:

The top blank is D. Quadrilateral

The middle blank is B. Parallelogram

The last blank if A. Square

Choose the system of inequalities that best matches the graph below.

Will Mark Brainlest

Answers

it is c.

Step-by-step explanation:

your y is -4 and you are rising 4times and running 1.

Answer:

the answer is c (100% on plato)

State if the pair of triangles are similar. If so, state how you know they are similar and
complete the similarity statement

Answers

They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.

4) find the first five terms of the recursively defined sequence.
a1=5, an+1=-3an+1

Answers

Answer:

566556565*7*7/*7+666364

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?

Answers

35x + 20y = 7620
x+y=276

Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children

Total number of children are 116 and adults are 160.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

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Which of the figures appear to to congruent

Answers

Answer:

C.

Step-by-step explanation:

A chemist wishes to mix a solution that is 12% acid. She has on hand 6 liters of a 4% acid solution and wishes to add some 16% acid solution to obtain the desired
12% acid solution. How much 16% acid solution should she add?
Complete the table.
Liters of
Solution
Percent Acid Liters of
(as a decimal) Pure Acid
0.04
6
Х
0.16
0.12

Answers

Answer:

25 liters of the 16% solution should be added.

Step-by-step explanation:

pure acid amount + pure acid amount = total pure acid amount

0.02*10          + 0.16*x           = 0.12*(10+x)     <<<---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.

0.02*10 + 0.16x = 0.12*10 + 0.12*x

0.16*x - 0.12*x = 0.12*10 - 0.02*10

(0.16 - 0.12)*x = 0.12*10 - 0.02*10

x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.

Answer.  25 liters of the 16% solution should be added.

Check.   %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture.   ! Correct !

Ahmed fills 6 pitchers with juice. Each pitcher contains 2 quarts 1 pint. How many pints of juice does he have?

Answers

Answer: 30 pints of juice

Step-by-step explanation:

Note: 1 quart = 2 pints.

2 quarts = 4 pints

4 pints + 1 pints=5

So in each pitcher there are 5 pints of juice

5 times 6 = 30

Question 17 (3 points)
Paul is signing a lease for a two-bedroom apartment that rents for $725/month. How much will Paul pay to move in if
he must pay first and last month's rent and a $500 security deposit?

Answers

Answer:

So If Paul needs to pay for 2 months of rent plus the 500$ in security deposit, then he has to pay 725+725+500=1950

can you solve these please and show your work

Answers

Here you go, here is one. Hopefully I can give the other.

Please help guys thank you whoever helps me

Answers

It’s 5/12!!! Because there are 12 boxes and 5 boxes that are colored!!!

HELP PLS PLS pls pls

Answers

Answer:

129

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

180 - 51 = 129

find an equation for the nth term of the sequence -4,-16,-64,-256

Answers

Answer:

this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144

What is the answer to 7x-2=5x+16

Answers

Answer:

x=9

Step by step explanation:

Add 2 to both sides, simplify, subtract 5x from both sides

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7x - 2 = 5x + 16

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 5x on both sides:                    2x - 2 = 16[Addition Property of Equality] Add 2 on both sides:                                    2x = 18[Division Property of Equality] Divide 2 on both sides:                                 x = 9
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