a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. a homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. test the manufacturer's claim. use alpha equal to 0.05. state the sample mean and the population standard deviation.

Answers

Answer 1

Z-score of the manufacturer's claim is 0.25.

what is Z-score?

It is a statistical expression that refers the difference between observed value and standard deviation.

How to calculate Z value?

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

           (Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

                               (1500-1480)/80=0.25

hence, Z-score is 0.25

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Answer 2

Z-score of the manufacturer's claim is 0.25.

what is Z-score?

It refers to the difference between the observed value and standard deviation and is a statistical statement.

The standard score, also known as a z-score, is a highly helpful statistic since it lets us compare scores from different normal distributions and assess the likelihood that a given score will fall within our normal distribution.

The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator. Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.

How to calculate Z value?

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

(Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

 (1500-1480)/80=0.25

hence, Z-score is 0.25

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Related Questions

1/2 plus 1/8 equals.

Answers

Answer:

5/8

Step-by-step explanation:

1/2=4/8

4/8+1/8=5/8

-18 = 9z - 9
z =___?

Answers

Answer:

z = - 1

Step-by-step explanation:

Given

- 18 = 9z - 9 ( add 9 to both sides )

- 9 = 9z ( divide both sides by 9 )

- 1 = z

find the value of x and y​

Answers

Answer:

It's hard to make out which is x and y, if x is lower right and y is at the top, then:

x = 55°

y = 70°

Step-by-step explanation:

x = 55° because it is an isosceles triangle

y = 180° - 55° - 55° = 70°

Find the length x to the nearest whole number.
430
|
502
29°
X
(Round to the nearest whole number as needed.)

Answers

Answer:

x = 557 to the nearest whole number

Step-by-step explanation:

The triangle is divided into two right triangles

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 29 = (x/2)/502

x/2 = 502 tan 29'

x/2 = 278.26

x = 278.26 * 2

x = 556.52

x = 557 to the nearest whole number

Given the function f(x) = 3x - 3, explain how to find the average rate of change between x = 0 and x = 5.

Answers

Answer:

3

Step-by-step explanation:

Find f(0):

f(0) = 3*0 - 3 = - 3

Find f(5):

f(5) = 3*5 - 3 = 12

Average rate of change:

(12 - (-3))/(5 - 0) = 15/5 = 3

The area of a rectangle is 12x^2 - 8x - 15. The width is (2x - 3). What is the length of the
rectangle?

Answers

Answer:

6x+5 us the length of the rectangle

Step-by-step explanation:

If A = 12x² - 8x - 15 and w = 2x - 3, then..

l = (12x² - 8x - 15)/(2x - 3)

= (2x - 3)(6x + 5)/(2x - 3)

= 6x + 5 cm

2. What is the measure of angle AOE and angle EOD?

X+138

x + 48

Answers

Answer:

AOE = 138, EOD = 48

Step-by-step explanation:

Since AD is the diameter of the circle and goes through the middle

angle AOE + angle EOD  = 180

Solving the equation (x + 138) + ( x+ 48) = 180

We get x = 0.

BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?


A) Use the distance formula to find the length of each side, and then add the lengths.

B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.

C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.

D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answers

A) Use the distance formula to find the length of each side, and then add the lengths.

the answer is A :) (i need more letters lol)

hi, find the real zeros. if there are none, just say none.

Answers

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Help!! I will give brainlest

Answers

Answer:

the first one

Step-by-step explanation:

A bag contains six white marbles and four black marbles a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw polo buy a black marble on the second?

Answers

Answer:

4/15

Step-by-step explanation:

Total event: 6+4=10

First draw: 6 white out of 10 marbles  6/10

2nd draw: 4 black out of 9 marbles  4/9

probability of drawing a white marble on the first draw polo buy a black marble on the second: 6/10 x 4/9 = 4/15

Percent increase in the price

Answers

Answer:

?

Step-by-step explanation:

Find mHT
A) 140°
C) 145°
B) 150°
D) 120°

Answers

Answer:

A

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, then

[tex]\frac{1}{2}[/tex] (20x - 7x - 11) = 40 ( multiply both sides by 2 to clear the fraction )

13x - 11 = 80 ( add 11 to both sides )

13x = 91 ( divide both sides by 13 )

x = 7

Then

arc HD = 20x = 20 × 7 = 140° → A

I need answer please

Answers

Answer:

they are integers

Step-by-step explanation:

Let f(x) =3x+2 and g(x)=x-3 find f(x)-g(x)

Answers

The correct answer is 2x+5.

Use point slope form to write the equation of a line slope intercept form that passes through the points 0,-5 and -3,4

Answers

Answer:

y + 5 = -3(x - 0)

Step-by-step explanation:

First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.

Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)

Yay!!!! :D

find the solution of the system of linear equations below
y = 5x +1
–5x + y = 1​

Answers

Answer:

Infinite number of solutions.

Step-by-step explanation:

Y=5x+1

-5x+Y=1

substitute value of y in first equation (5x+1) into 2nd equation

-5x+5x+1=1

0+1=1

1=1

since answer equals on both sides of the equatio, the answer is determined to be infinite.

What is the measure of x and what is the reasoning you used

Answers

Answer:

x = 108 because of supplementary angles

Step-by-step explanation:

Solving for x:

Since x and 72 are supplemenatry angles, they'll equal to 180, so:

x + 72 = 180

x = 180 - 72

x = 108

Tarzan split up $21 equally among 30 winners. What decimal is equivalent to the fraction of a dollar that each winner received? Round to hundredths.​

Answers

Answer:

21/30 = 7/10 = 0.7

Step-by-step explanation:

spliting up 21 dollars among 30 winners, is dividing 21 by 30. When you do this you can simplify it to 21/30 = 7/10. 7/10 is equal to 0.7.

Answer:

$0.7

Step-by-step explanation:

As you may know, instead of saying divide. You can say split. So $21 split between 30 people would be $0.7 or 70 cents.

BRAINIEST ANSWER:)))

Help please

Answers

1.1592.5in

3.2521.91mm

help me pleseeeeeeeeee

Answers

Answer:

2/4

Step-by-step explanation:

2/4 = 4/8

They both equal 1/2

if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=
(a)1.27
(b)2.07
(c)2.77
(d)4.15
(e)5.53

Answers

The answer to this question is c


Sally has 8 red marbles and 16 green
marbles. She also has red bags and
green bags. She wants to put marbles in
the bags that match their color. Each
bag will have the same number of
marbles. What is the largest number of
marbles she can put into each bag?

Answers

Answer: 8

Step-by-step explanation: It's just GCF.  The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.

help please also dont put links:(​

Answers

Answer:  $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

Answer:

The answer is 61 dollars and 50 cents. So 61.5.

compute the distance between (9,-5,4) and (-10,3,4)

Answers

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]

I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW

Answers

Answer:  Function A= (0,8)

Function B= (0,2)

{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)

I didn’t do the last one I’m sorry

Step-by-step explanation:

i need help with a question what is 4n=12?

Answers

answer n=3 let me know if i’m wrong

Answer:

n=3

Step-by-step explanation:

To solve the equation divide both sides by 4.

4n=124n/4=12/4n=3

I'm assuming that you want to find n...

PLZ HELP I NEED TO TURN THIS IN TODAY

Answers

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

Answer:

The First One

Step-by-step explanation:

Don't Ask How Long It Took

True or false? Please help meee

Answers

Yes the answer is true 100%

What is the measure of n?
12
4
m
n
[?]

Answers

Answer:

48

Step-by-step explanation:

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