A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.

Answers

Answer 1

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)


Related Questions

Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer:

 

Step-by-step explanation:

help pls ! need it asap

Answers

Answer:

m∠X = 110°

m∠V = 60°

Step-by-step explanation:

1.) Angle Y and W are equal from the markers, which means the angles are equal

35*2 = 70

180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)

2.) This is another isosceles (equal angle and sides)

Some times all sides aren't equal on isosceles but you can see these are

180/3 = 60°

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled

Answers

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 434[/tex]

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 434[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that [tex]\mu = 434[/tex]

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]

[tex]z = -0.75[/tex]

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.


Helpppppppppppppooopp

Answers

Answer:

I can't see clearly

Step-by-step explanation:

Hikers spent the following amounts of time (in minutes) to complete a
nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
Suppose another hiker takes 92 minutes to complete the hike.
How does the median and mean change when the new hiker is
factored in to the data?

Answers

Answer:

the mean is 53.75 and median is 54

Step-by-step explanation:

I need some help! I would really appreciate it!

Answers

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

please help!! Area of Trapezoids and Triangles ​

Answers

Answer: Area of the shape is 168 ft.

Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.

Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.

Identity the coterminal angle between 360° and 360° for the angle - 120°
No

Answers

answer is 240 degrees

Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!

Answers

Answer: it’s acute

Step-by-step explanation:

the second one lollollol

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Select all numbers that have and absolute value of 0.6

Answers

I needed help on this... Answer:
l-0.6l and 0.6 and l 0.6 l
Step-by-step explanation:
a number in l x l for is to be changed to positive if not already!

(-6, -7) and (3,-4)
Pleaseee helppppppp​

Answers

Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

brainly.com/question/22091903

#SPJ2

what makes 1/3 x > 12 true

Answers

Answer:

I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some

Tristian has 35 rock songs, 50 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a dance song?

Answers

Answer:

1/2

Step-by-step explanation:

35+50+15 = 100

probability of the dance song = 50/100 = 1/2

Answer:50%

Step-by-step explanation:

35+15+50=100

50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100

Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.​

Answers

Answer:

1st

Step-by-step explanation:

A coffee shop recently sold 10 drinks, including 4 mochas. What is the experimental
probability that the next drink sold will be a mocha?
Simplify your answer and write it as a fraction or whole number.
P(mocha) =
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:

2/5

Step-by-step explanation:

IXl answer

The experimental probability that the next drink sold will be a mocha is 2/5.

Number of mochas =4

Total drinks =10

What is probability?

Probability is the quantification of possibilities.

P(event) = Favorable outcomes/ Total outcomes

P(mocha) = 4/10

P(mocha) =2/5 =0.4 or 40%

Thus, the experimental probability that the next drink sold will be a mocha is 2/5.

To get more about probability visit:

https://brainly.com/question/24756209

A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective

Answers

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

a) Factor2+7x+12

b) Use the zero product property to solve for x







b) Use the zero product property to solve for x

Answers

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

whoever answers it correct first gets brainlest

Answers

Answer:

f(x)=x+1 ok

please mark me as brainlest

Find the measure of <4.
{
44
158°
{
44 = [?]

Answers

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

Same side interior angles are supplementary

<4+158=180<4=180-158<4=22°

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Answers

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Which of these graphs represents a function ?

Answers

Answer:

Graph C

Step-by-step explanation:

Will you explain it

Answers

Answer:

there is literally nothing in the picture

Answer:

it's a black screen sized 200x200

CAn someone help me plsss

Answers

13.76

Divide 27.52 by 2 to get 13.76

Anyone else been saved by brainly?

Answers

Answer:

Yes, many times actually. I've aced tests because of brainly

Step-by-step explanation:

which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.

Answers

When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.

What is the median fit method?

This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.

As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.

Find out more on the median fit method at https://brainly.com/question/23298464.

#SPJ2

Answer: C

Step-by-step explanation:

Tell whether b=6 is a solution of 8b=48

Answers

Answer:

b= 6 for sure

Step-by-step explanation:

Other Questions
2. The length of the side of square A is half the length of the side of square B. What is the ratio of the perimeter of square A to the perimeter of square B? PLEASE HELP:):):):):):):):) A number x is rounded to 1 decimal place and its 3.7write down the error interval for x Which of Reagan's policies do you feel was most successful and why? What would be the best reason for having the lamp on during the experiment How long and often should on participate in strengthtraining activities?30-40 min, 2-3 times per week, with one day of restbetween workouts20-30 min, 2-3 times per week, with one day of restbetween workouts20-30 min, 2-3 times per week, with no rest inbetween workouts50-60 min, 2-3 times per week, with no rest inbetween workouts Whoever helps me will have a good day and maybe get kissed by your crush Whats the answer?Needed now Solve for angle B, then side a. Round to the nearest tenth. Describe a friend with at least one quantity adjective and one quality adjective.REQUIRED: Make it 4 sentences long.PLS HURRY TIME SENSITIVE A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose? What would happen within a few months if all de composers on earth disappeared overnight Ill leave a picture here For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Percy then put all the rubber ducks in his schools swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same. Amir paid $15 to play the game once. If we assume he randomly selected a du The hanger image below represents a balanced equation.Write an equation to represent the image. In three sentences, describe who is going where, and what they are going to do there.Example: Voy al mercado y voy a comprar la comida.*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, more importantly, it will enhance your language ability. This activity will not count towards your grade. A spherical stone in the courtyard of the National Museum of Costa Rica has thediameter of about 8 feet. Find the volume of the spherical stone. Round to the nearesttenth. Leave your answer in terms of .A. 682.7 cubic feetB. 85.3 cubic feetC. 10.7 cubic feetD. 683.0 cubic feet If a collection of people share some characteristics, interact with each other, and have some feelings of unity, they make up a(n) Find the value of x. por favor descripciones de los viajes de colonPRIMER VIAJE:segundo viaje tercer viajecuarto viajegracias Need help with Spanish!!!