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

What is the slope of the line that passes through the points
(-16, -5) & (-15, -7)

Answers

Answer:

slope=-2

Step-by-step explanation:

Okay so we just take those coordinates and apply them to this formula:        

y2-y1/x2-1

then simplify to get -2

if you want me to elaborate just say the word

pleaseeee help please​

Answers

Answer: It will be 60m^2

Use the distributive property to write an equivalent expression. (6+8)x 2​

Answers

28 is the correct answer

Help

Which product are greater than 2 and 5\6? Select all that apply

Answers

Answer:

B, C, & E

Step-by-step explanation:

B C AND E
that’s the answer g

What is the 30th term of the arithmetic series 3, 7, 11, ...?
118
119
120
121

Answers

The answer it’s B: 119

Answer:

119

Step-by-step explanation:

common different: 7-3=4

initial value =3

so x-3=(n-1)d

only 119-3=116 is divisible by 4

It's the ans cuz n-1 has to be integer

What is the perimeter of the figure?
O 34 m
O 44 m
O 62 m
0 72 in

Answers

Answer:

62  m

Step-by-step explanation:

The answer is 62 because u add the sides and that’s what u get

• Which graph represents the inequality 3 > 15?

Answers

Answer:

The second one

Step-by-step explanation:

Which set of numbers shows all the factors of 18?
A.1,3,6, 18
B.9, 18, 27, 36
C.1, 2, 3, 6, 9, 18
D.18, 36, 54, 72, 90

Answers

Answer:

C

Step-by-step explanation:

1*18 2*9 3*6

please help asap !!!!!!

Answers

Answer:

62 degrees

Step-by-step explanation:

so that means it is

31*2= 62 degrees(arcs)

if my answer helps please mark as brainliest.

Answer:

119

Step-by-step explanation:

Angle ADC is 61 degrees and Angle ABD is 180. 180-61 so the answer will be 119.

Here are two similar rectangles.
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.

Answers

Missing number I think///

Answer:

40.32

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8

=40.32

In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С

Answers

Answer: 61.5

Step-by-step explanation: gave up on deltamath

Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

Sydney car can go 44.4 miles on gallon

Question 4
2 pts
At noon, a barista notices that she has $30 in her tip jar. If she makes an average of $0.45
from each customer, how much will she have in her tip jar if she serves n customers during
her shift?
(equation)
How much will she make if she serves 134 customers?
How many customers did she serve by noon?

Answers

Answer:

a [tex]A = 30 + 0.45 n[/tex]

b [tex]A = 90.3[/tex]

c 0 customers

Step-by-step explanation:

Given

[tex]Base\ Amount = 30[/tex]

[tex]Rate = 0.45[/tex] per customer

Solving (a): Amount (A) on n customers

This is calculated as:

[tex]A = Base\ Amount + Rate * n[/tex]

[tex]A = 30 + 0.45 * n[/tex]

[tex]A = 30 + 0.45 n[/tex]

Solving (b): Amount on 134 customers

In this case: n = 134

So:

[tex]A = 30 + 0.45 * 134[/tex]

[tex]A = 30 + 60.3[/tex]

[tex]A = 90.3[/tex]

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

[tex]A = 30 + 0.45 n[/tex]

[tex]30 = 30 + 0.45n[/tex]

Collect like terms

[tex]0.45n = 30 - 30[/tex]

[tex]0.45n =0[/tex]

[tex]n = 0[/tex]

If there is a positive correlation between number of years of education and the amount of company pension contributions, which of the following professions would you expect to have the best company pension contributions?
a.
police officer, associates degree
b.
accountant, bachelor’s degree
c.
lawyer, master’s degree
d.
pharmacist, doctorate degree

Answers

Answer:

the correct answer is going to be D

Step-by-step explanation:

Pharmacists, with doctorate degrees, would have the best company pension contribution.

Given that,
There is a positive correlation between the number of years of education and the amount of company pension contributions.
which of the given professions would have the best company pension contributions is to be determined.

What is the relation?

The relation is defined as the dependency of one thing over another by any means is called relation.Or in mathematics, the relation of function is defined as for any function in its domain there is an image in range, which is called relation.

Here,
There is only one option that holds the situation of the correlation between the number of years of education and the amount of company pension contributions a pharmacist with a doctorate degree.
Because education in the pharmacy sector is not limited and it will increase exponentially.

Thus, pharmacists, with doctorate degrees, would have the best company pension contribution.

Learn more about relation here:
https://brainly.com/question/15395662
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Cindy read 240 minutes last week she read 378 minutes this week how many minutes did she read altogether

Answers

Answer:

618

Step-by-step explanation:

They are added

Answer:

240 + 378 = 618

Step-by-step explanation:

an easy way to add big numbers s to break it up into smaller pieces.

Example:   240+378 = (200 + 300 = 500) + (40 + 70 = 110) + (0 + 8 = 8) = 618

!!! HELP ASAP !!! 40 x 20 - 6 + 4 =

Answers

Answer:

798

Step-by-step explanation:

first you do 40x20=800 then 800-6=794 then 794+4=798

Jina walks 2.5 km every day. How far does she walk in 7 days?
Write your answer in meters.

Answers

Answer: 17500 meters

Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so

17.5 in meters is 17500.

What would you call the expression 2x -5y - 7?

Answers

Answer:

Trinomial

Step-by-step explanation:

Its called a Trinomial since it has 3 terms in it                                                                                                                                

Hope its helps!

Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?

Answers

Answer:

54 word per minute

Step-by-step explanation:

297 words divided by 5.5 mins = 54 words/min

Hope this helps!! :)

How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes

Answers

Answer:

50 laps

Step-by-step explanation:

10 laps : 6 minutes

multiply both sides by 5

50 laps: 30 minutes

Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2

Answers

Answer:

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]


[tex]18 - 4 \div {2}^{2} \times 10[/tex]
whats the answer​

Answers

The answer is 8
Order of operations:(Please Excuse My Dear Aunt Sally)
Parentheses
Exponents
Multiplication
Division
Add
Subtract
When it comes down to multiplication and division you do whichever comes first , left to right same with add and subtract so..
Step1: 2 squared = 4
Step2: 4/4=1
Step3: 1x10=10
18-10=8 . Final answer is 8

Evaluate a--3° for Q = -3 and b = -3.

Answers

Answer:

Step-by-step explanation:

1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab

2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab

3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)

5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)

6. a2 − b2 = (a + b)(a − b)

7. a3 − b3 = (a − b)(a2 + ab + b2)

8. a3 + b3 = (a + b)(a2 − ab + b2)

9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)

10. an = a.a.a . . . n times

11. am.an = am+n

12. am

an = am−n if m>n

= 1 if m = n

= 1

an−m if m<n; a ∈ R, a 6= 0

13. (am)n = amn = (an)m

14. (ab)n = an.bn

15. a

b

n

= an

bn

16. a0 = 1 where a ∈ R, a 6= 0

17. a−n = 1

an , an = 1

a−n

18. ap/q = √q ap

19. If am = an and a 6= ±1, a 6= 0 then m = n

20. If an = bn where n 6= 0, then a = ±b

21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y

22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y

23. If a, m, n are positive real numbers and a 6= 1, then loga mn = loga m+loga n

24. If a, m, n are positive real numbers, a 6= 1, then loga

m

n

= loga m−loga n

25. If a and m are positive real numbers, a 6= 1 then loga mn = n loga m

26. If a, b and k are positive real numbers, b 6= 1, k 6= 1, then logb a = logk a

logk b

27. logb a = 1

loga b where a, b are positive real numbers, a 6= 1, b 6= 1

28. if a, m, n are positive real numbers, a 6= 1 and if loga m = loga n, then

m = n

What is the median of data set 32 25 25 32 32 10 -10 25 ​

Answers

Answer:

-10, 10, 25, 25, 25, 32, 32, 32

Its 25

Step-by-step explanation:

The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two

the median is 25. you can put the numbers in order from least to greatest values and cross out one by one to make it easier! hope this helps :D

George Smith own's George's Joint, a gas station and convenience store. George is trying to get a better understanding of his business and wants to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons of gasoline sold follows a normal distribution with a population standard deviation of 2.3 gallons. From his records, he randomly selects 60 sales and find the mean number of gallons sold is 8.6. What is the point estimate of the population mean

Answers

Answer:

The point estimate of the population mean is of 8.6 gallons sold.

Step-by-step explanation:

Point estimate for the population mean:

From a large sample, the point estimate for the population mean is the sample mean.

In this question:

The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.

What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72

Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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Factorise
3ab + 3a + 2b + 2​

Answers

Answer:

3ab + 3a + 2b + 2

3a(b+1)+2(b+1)

(b+1)(3a+2)

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string with the ground is 42.5 degrees. How high is Mark's kite above the ground? Find your answer to the nearest tenth.​

Answers

Answer:I don’t understand

Step-by-step explanation:

Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years

Answers

Answer:

where is the rest of the questions

Identify two equivalent fractions: 1/2​

Answers

Answer:

2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20

Step-by-step explanation:

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