Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.

Answers

Answer 1

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Answer 2

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326


Related Questions

5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST

Answers

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

Learn more about the proportion visit:

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#SPJ2

Which system of linear equations appears to have a solution of (3,0)?

Answers

Answer:

C

Step-by-step explanation:

2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?

Answers

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

how many 1/2 kg packets of salt can you obtain from 18 kg of salt​

Answers

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS

Answers

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Max walks 10 meters in 4 seconds what is his walking rate in meters per second

Answers

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Corey need a 24 boards that are 47 1/2 inches long







A. How many feet a boards should he buy? Explains.










B. if you can only buy 8-fot boards, how many should he buy? explain ​

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE

Answers

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

Answer:

67 = h - 18

Step-by-step explanation:

Sry I meant h-18 = 67

Solve the Equation

P + 75 = 100.

Answers

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Answers

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

PLEASE help!!!!


Im timed!

Answers

Answer:

it would be B

Step-by-step explanation:

Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3

Answers

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

help me i need help help me help me

Answers

It’s 21 because if u divide you’ll get it again

What accounted for the high mortality rate of the French Army in Russia?

Answers

Answer:the lost the war

Step-by-step explanation:

Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.​

Answers

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

Find the vertex of the parabola defined by the following equation. 3x^2-12x+11

Answers

Answer:

y= 3(x-2)^2-1

Step-by-step explanation:

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

I need help... plssss :))

Answers

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use

Answers

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys

Answers

Answer:

b right handed boys

Step-by-step explanation:

Determine which choice best shows the distributive property of multiplication.

Question 2 options:

1 × 6 = 6


6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


6 × (9 × 8) = (6 × 9) × 8

Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Select all the correct answers.

Janine needs to calculate the value of log , 81

Which expressions could she input into her calculator to find this value?

In 81

12



in 81

In 12

log 81

log 12

log 81

In 12

log 12

log 81

Answers

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

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in the equation x+12=30 does x=16 explain your answer please answer the questions. Is a violin and battery potential energy? yoo someone help asaapp! Who was the editor of the Memphis Free Speech and Headlight newspaper? Select the best answer from the choices provided. A. Allen Allensworth B. Senator Charles Sumner C. Ida B. Wells D. Nannie Helen Burroughs What are the values of x and y? A. x equals 136 over 15 and y equals 17 over 15 B. x equals 64 over 15 and y equals 17 over 15 C. x equals 8 over 15 and y equals 136 over 15 D. x equals 64 over 15 and y equals 136 over 15 The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to Billed Mercy Co. $2,400 for services performed.how to journalize this? Solve the Equation P + 75 = 100. Select all the correct answers.Janine needs to calculate the value of log , 81Which expressions could she input into her calculator to find this value?In 8112in 81In 12log 81log 12log 81In 12log 12log 81 How you Can find the area of a composite figure? The act of yielding or compromising in some way is known as _____________. In the move The Patriot What happens to the Rebels being treated at the Martin's farm? The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate? Rewrite in simplest terms: 8(-10r - 9) + 9r Which of these resulted from the modification of the environment shown in the illustration ? A. Community parks were established to preserve wildlife B. Crop irrigation declined because of water pollution C. Property was damaged by increased flooding D. Surrounding are became more industrialized C. Would the number 14 be in the solution set? Tell why or why not. HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE Select the correct answer.de.Currently there are 691,255 trees in a national forest. A park ranger discovered that anuntreatable disease is killing the trees at a rate of 1.5% every year.Let t represent the number of years after the current date. Determine the inequality that can beused to model when there will be no more than 621,859 trees, and then solve the inequality for t. CHECK ATTACHMENT FOR OPTIONS What accounted for the high mortality rate of the French Army in Russia?