A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.

Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470

1. What is the sample mean service life for sample 2?

a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours

Answers

Answer 1

Answer:

1. c. 515 hours

2.  c. 495 hours

Step-by-step explanation:

Sample mean:

Sum of all values in the sample divided by the number of values.

1. What is the sample mean service life for sample 2?

Sample 2 has four values, which are:

525 515 505 515

So

[tex]M = \frac{525+515+505+515}{4} = 515[/tex]

The answer is given by option C.

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

3 samples, 12 total values. We find the mean of all these values. So

[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]

The answer is given by option C.


Related Questions

what 2-1+46-2x0

I tried O but it didn't work

Answers

Answer:

answer is 47

Step-by-step explanation:

use the rule, 2x0 = 0 then (2- 1) that's 1 and then (46-0) that's 46 so 1 + 46 is 47

Evaluate the expression 2a + 3b + 6 when a=2 and b=4

Answers

Answer:

22 or 4+12+6

Step-by-step explanation:

Since A is equal to 2, times 2 by 2 and get 4

Since B= 4 you times 3 by 4 and get 12

4+12 is 16

16 plus 6 is 22

please help it due rn ​

Answers

Answer:

I think that the answer would be C .

hope it was helpful :)

At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

Pretty low, it’s exactly 0.175

an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)

Answers

Answer:

5 batches per hour

Step-by-step explanation:

I need help with this problem asap :(

Answers

Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

help me FAST :> math problem 15 points come on please

Answers

Answer:

D

Step-by-step explanation:

z+nm is equiveland to mn+z since its the same equation but wrote in different positions.

Answer: the answer is D

Z + nm

help would be v appreciated thx :)

Answers

Answer:

Step-by-step explanation:

Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate

Answers

1 1/6 that would be the mixed number of how much he ate....

which enequality describes this grpah?​

Answers

The correct answer is B x>4

Answer:

x > 4

Step-by-step explanation:

Since it's an open circle, that means it has to be less than (<) or greater than (>)

Since it's going in the right direction, it means greater than (>)

The open circle starts at 4 so,

x > 4

x is greater than 4

can someone please help me

Answers

Answer:

2x + x + 63 = 180 to find x.

m<1 = 78 degrees

m<2 = 102 degrees

Step-by-step explanation:

Combine like terms: 3x + 63 = 180

Subtraction: 3x = 117

Division: 3x/3 = 117/3

Final Answer: x = 39

m<1 = 2(39) = 78 degrees

m<2 = (39 + 63) = 102 degrees

Check work: 102 + 78 = 180

(180 is the measure of a straight line such as the one represented here)

what is the multiple of the unit fraction 4×3/8​

Answers

Answer:

1.5

Step-by-step explanation:

4 x 3/8 = 4/1 x 3/8 = 12/8 = 3/2 = 1.5

Hope this helps =D

Determine whether the
following are define function
y=4x+1
[(-1,2), (0, 3) (1,4),(2,6)]

Answers

Answer:

sorry but i need the points

Step-by-step explanation:

I need help please.

Answers

Answer:

Answer is C hope this helps

Step-by-step explanation:

what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths

Answers

The answer is 5/6......
The Answer Is : 5/6

(1 point)
Only answer if you know!!! Meg was deep-sea diving at 15 feet below sea level. She dove another 7 feet below sea level. How far
below sea level was Meg?
O 8 ft below sea level
O 12 ft below sea level
O 22 ft below sea level

Answers

22 ft below sea level

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?

Tyler invested $___at 8%, and $___at 10%

Answers

Thank you hope this helps see photo

5x + (1x+6)= 78
BARDZO POTRZEBUJĘ

Answers

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

Answer:

x = 12

Step-by-step explanation:

6x + 6 = 78

6x = 78 - 6

6x = 72

x = 72 / 6

x = 12

Mam nadzieję, że to pomoże!

A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?​

Answers

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

Helppp please I'm stuck ​

Answers

Use pi in the equation to get the answer and for the work but dividends on the sheet

3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle: 11, 13, 25
Not a triangle
Acute
Right
Obtuse
4. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle. 21, 28, 35
Not a triangle
Acute
Right
Obtuse

Answers

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

45633 seconds en heures minutes et seconds

Answers

Yes. I totally agree with that statement. 10/10

What is the value of x?
Enter your answer in the box.
X =

Answers

Answer:

free

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

ok then, firstly, lets make line CB into y

sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]

in other words, as sin 90 = 1

y / sin45 = 6[tex]\sqrt{2}[/tex]

y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so

6*2/2 = 6

we also know BCD is 30*, as angles in a tri add up to 180*

so, x/sin30 = 6/sin90 = 6

x/sin30 = 6

6*sin30 = x

x = 3 as sin 30 = 1/2

Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]

Answers

9514 1404 393

Answer:

maximum: 15∛5 ≈ 25.6496392002minimum: 0

Step-by-step explanation:

The minimum will be found at the ends of the interval, where f(t) = 0.

The maximum is found in the middle of the interval, where f'(t) = 0.

  [tex]f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)[/tex]

This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...

  f(5) = (∛5)(20-5) = 15∛5

The absolute maximum on the interval is 15∛5 at t=5.

Two more than five times a number is less than or equal to 47

WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17

Answers

Yes use that example and it will help!

Help I need help with this algebra.

Answers

Answer:

B, D, F

Step-by-step explanation:

B, D, F

I believe A would be the correct answer.

Explanation: n^2 + n

(3)^2 + 3
9 + 3 = 12

(4)^2 + 4
16 + 4 = 20

This seems to work with any number I think of bringing me to the conclusion that A is the answer.

Liz deposited $2,000 into a savings account that pays 8% compounded quarterly. Complete the table to compute the amount in the account after 1 year

Answers

2000*1.02^4=2164.86

Thank you hope this helps

Branliest to correct answer please explain how you got your answer :)

Answers

Answer: 25%

Step-by-step explanation:

Let's take our given numbers

20% you win both checkers and chess against your friend

30% you win against your friend in chess

Now we take both probability's 20% and 30%

We are know working with a probability out of 200%

Let's add 20% and 30%

20%+30%=50%

Now 50% of 200% is

25%

What is the factored form of the polynomial?

x2 – 16x + 48

(x − 4)(x − 12)
(x − 6)(x − 8)
(x + 4)(x + 12)
(x + 6)(x + 8)

Answers

Answer:

(x − 4)(x − 12)

Step-by-step explanation:

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.

What is a polynomial?

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:

x² - 16x + 48 = x² - 4x - 12x + 48

= (x² - 4x) + (-12x + 48)

= x(x - 4) - 12(x - 4)

= (x - 4)(x - 12)

Therefore,

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ5

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