A leasing firm claims that the mean number of miles driven annually, , in its leased cars is less than miles. A random sample of cars leased from this firm had a mean of annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is miles. Assume that the population is normally distributed.
Is there support for the firm's claim at the level of significance?
Perform a one-tailed test.
null hypothesis?
alternative hypothesis?
type of test statistic?
value of the test statistic?
the p-value?
Can we support the leasing firm's claim that the mean number of miles driven annually is less than 12800 miles?

Answers

Answer 1

Complete question is;

A leasing firm claims that the mean number of miles driven annually, u , in its leased cars is less than 12800 miles. A random sample of 50 cars leased from this firm had a mean of 12499 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3140 miles. Is there support for the firm's claim at the 0.05 level of significance?

Perform a one-tailed test.

null hypothesis?

alternative hypothesis?

type of test statistic?

value of the test statistic?

the p-value?

Can we support the leasing firm’s claim that the mean number of miles driven annually is less than 12800 miles?

Answer:

A) Null hypothesis; μ ≥ 12800

Alternative hypothesis; μ < 12800

B) type of test statistic: z-score test

C) test statistic; z = -0.678

D) p - value = 0.2489

E) No, we can't support the leasing firms claim

Step-by-step explanation:

We are given;

Population mean; μ = 12800 miles

Sample mean; x¯ = 12499 miles

Sample size; n = 50

Population standard deviation; σ = 3140

Let's define the hypothesis;

Null hypothesis; μ ≥ 12800

Alternative hypothesis; μ < 12800

The alternative hypothesis is the claim.

Since sample size is greater than 30, we will use z-score test.

Formula for z-score;

z = (x¯ - μ)/(σ/√n)

z = (12499 - 12800)/(3140/√50)

z = -0.678

From online p-value from z-score calculator attached, using z = -0.678 with one tailed hypothesis and significance value of 0.05,we have;

p - value = P(z < -0.678) = 0.2489

The p-value is greater than the significance value, so we will fail to reject the null hypothesis and conclude that there is no sufficient information to support the leasing firm's claim

A Leasing Firm Claims That The Mean Number Of Miles Driven Annually, , In Its Leased Cars Is Less Than

Related Questions

Aaron bought 7 packs of balloons for the party. There were 50 balloons in each bag. 40 of the total number of balloons were yellow. How many balloons were not yellow?

Answers

Answer:

[tex]total \: balloons = (50 \times 7) \\ = 350 \: balloons \\ none \: yellow \: balloons = 350 - 40 \\ = 310 \: none \: yellow \: balloons[/tex]

Answer:

310

Step-by-step explanation:

The equation that we would use to solve this problem is 7 × 50 - 40 = b

(b is the number of non-yellow balloons)

Since Aaron bought 7 packs of balloons with 50 balloons in each pack, we would need to multiply 7 and 50 to find the total amount of balloons that he bought.

7 × 50 = 350.

Now we subtract 40 (the total number of yellow balloons) from 350 (the total number of balloons), to find the amount of balloons that are not yellow.

350 - 40 = 310

Please help me!!!!!!!!!!!!!!!!!!

Answers

Answer:

6. peach , plum, crab apple

7. pepper tree, common apple, pear

8. because the graph is lowered And that the boxes are needed to go higher to get to the other numbers and the graph is misleading and etc.

9. black cherry, magnolia, live oak, sweet cherry.

10.because the graph is lowered And that the boxes are needed to go higher ot get to the other numbers and the graph is misleading

Step-by-step explanation:

I don't really understand 8 and 10 so this all i got

A 2-column table with 5 rows. Column 1 is labeled Evelyn's Scores with entries 125, 137, 138, 145, 145. Column 2 is labeled Distance from the Mean with entries x, y, 0, 7, z.
What is the mean absolute deviation of Evelyn’s scores?
5.1
5.6
5.8
7

Answers

Answer:

Column 1(X)      Column 2(mean - X)

  125                   -13

  137                     -1

  138                     0

  145                     7

  145                     7

Mean = 138

Mean Absolute Deviation : 5.6

Answer:

for all the lazy readers on top the answer is.. B. 5.6:)

Step-by-step explanation:

2
Jerry flips a coin and rolls a six-sided die. What is the probability of getting heads on the coin and an odd number on the die?
A. 1/4
B. 1/2
C. 1/3
D. 1/12

Answers

A because i did it so it’s a trust me
A A A A A have a good day

HELP


WILL GIVE BRAINLIST


FOR MATH

...
.
.
.
.
.
.

Answers

Answer:

20 cyclists

Step-by-step explanation:

In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years

Answer:

if each bicycle is ten go by multipls of 10

it's in 2007

and of you count by 10 that's 20

In the figure below, UV is best described as _____.

Answers

Answer:

Segment

Step-by-step explanation:

Its only part of the line.

Answer:

The answer is ray

Step-by-step explanation:

What is the mode of 7 3 3 6 3 7

Answers

Answer:

3

Step-by-step explanation:

3,3,3,6,7,7

the mode is the number the occurs the most and 3 is there 3 times so it is the mode

Answer:

3

Step-by-step explanation:

Since 3 occurs the most in the set of data, it is the mode.

Mode: The mode is the value that appears most frequently in a data set.

I hope this helps! Have a great day! :)

reduce the fraction 512/128 into the simplest form.​

Answers

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of  

512

128

is  

4

1

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:  

4

1

Therefore, 512/128 simplified to lowest terms is 4/1.

HELP!!!! Which expression is equivalent to

Answers

Answer:

The answer is the first option just cause i checked on calculator and boith equaled the same thing 3072

Step-by-step explanation:

The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large shipment of cfls is equal to 6500 hours. the population standard deviation is 500 hours. a random sample of 50 cfls indicates a sample mean life of 6,700 hours and sample standard deviation is 600 hours.
Critical values, where P(Z > Z) - a and P(t >) - a 2016-1282 20.06-1645 20.02 -1.960 10.10. - 1.299 10.06.45 - 1677 foto - 2010 1.115 pt.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 6,500 hours?
b. Compute the p value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
d. Compare the results of (a) and (c). What conclusions do you reach?

Answers

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

No Links/Incorrect Answers = Report
First to get the question correct get's brainliest.

Answers

I calculated this myself, and I got the answer 3/4, but I'm trash at explaining long problems. So here is what I found to help explain it. It's not a link.

"If (p, r) lies on the line y = x + b, then

r = p + b…. (1)

If (2p, 5r) lies on the line y = 2x + b, then

5r = 2(2p) + b

or 5r = 4p + b…. (2)

Subtracting equation (1) from (2), we get

5r - r = 4p + b - p - b

4r = 3p or r/p = 3/4"

Since I don't believe in plagiarism here's the person who is a life saver at explaining things.

(Mohammad Faizan)

PS. I really did try to explain it myself, only to give myself a headache, so please don't be mad and report me. I only wanted to help.

Answer:

a

Step-by-step explanation:

What are satellites

Answers

Answer:

A satellite is a moon, planet or machine that orbits a planet or star. ... Usually, the word "satellite" refers to a machine that is launched into space and moves around Earth or another body in space. Earth and the moon are examples of natural satellites. Thousands of artificial, or man-made, satellites orbit Earth.

Step-by-step explanation:

Find the measure of the angle, round to the nearest tenth: Cos Y = .5736

Answers

Answer:

Y ≈ 54.998°

Step-by-step explanation:

Cos Y = .5736

=> Y = [tex]cos^{-1}[/tex](.5736)

=> Y ≈ 54.998

1. There are 3,768 books on the library wall.
There are 24 rows of books, each with an equal
number of books. How many books are in each
row?

Answers

Answer:

157 books in each row

Step-by-step explanation:

24 rows=3768 books

1 row=3768/24 books

=157 books

Therefore,Each row contains 157 books

Mark this answer as brainliest....

Can someone help me please

Answers

Answer:

12

Step-by-step explanation:

1:3 multiply them by 4 for 4 juice cans

Answer:

The answer would be A, 12.

Step-by-step explanation:

The ratio of juice to water is 1:3. 1 being the amount of juice, and 3 being the amount of water. If Maria used 4 cans of juice, that makes the new ratio 4:w. W can stand for the amount of water. 1x4=4 so we can multiply 3x4=12.

Mark brainliest please! :)

swag on ha dragga dab dab dab

Answers

Answer:

8 1/2

Step-by-step explanation:

8 1/2 8 whole number and 1 over 2

A stack of 14 cookies is 23.1 centimeters high. How thick is each cookie?

Answers

1.65cm

I searched it up

How many pints are in 5 gallons? Enter only a number. Do not include units.

The solution is____

Answers

Answer:

0 because it's purified water :)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

answer is right there, you only asked for a number.

PYTHAGOREAN THEOREM !! DONT NEED U TO EXPLAIN JUST GIVE ANSWER DONT HAVE TIME FOR THAT !

Answers

Answer:

√14 or 3.74

Step-by-step explanation:

_________________

Answer:

√14 or 3.74

Step-by-step explanation:

x = 3.74

which expression is equal to 45 x 4-7: 4-2?

Answers

Answer:

12

Step-by-step explanation:

if x equals to 6 than

6+6=12

a food company can produce 732,291,285crackers per hour. A second food company can produce 732,341,285 crackers per hour.Which company can produce more crackers per hour. explain how you found your answer ​

Answers

Answer:

the second company

Step-by-step explanation:

the second company produces 50,000 more crackers an hour than the first company

What is the area of the triangle?

Answers

Answer:

21

Step-by-step explanation:

Add 5.3 + 1.7 and you get 7 (7 is the base of the triangle). Multiply 7 by the height (6) and you get 42. When you put 2 triangles together, it will create a quadrilateral. "Cut the quadrilateral in half" and you will get your triangle's area. The area is 21 :)

Answer:

53.9 square units was my answer, but I learned that it was 21 !

Find the diameter of each circle.

Answers

answer:

2. 10 km

4. 20 km

step-by-step explanation:

multiply the radius by 2 to find the diameter

2 — 5 X 2 = 10 km

4 — 10 X 2 = 20 km

hellpppppppppspspspspspspsp

Answers

I'd say 13, hope this helps

Step-by-step explanation:

I think it’s 13 sending good vibes your way

True or false: The equation below is too complicated to use the "isolate the
radical, then square both sides" method to simplify.

Answers

Answer: False

=============================================================

Explanation:

The radical is one step away from being fully isolated. We would apply the rule that [tex]\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}[/tex]

In this case,

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}[/tex]

Meaning that the equation

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} =3[/tex]

is the same as

[tex]\sqrt{\frac{x+3}{x-1}} = 3[/tex]

From here, we square both sides and use algebra to isolate x.

easy math have fun!!!

Answers

Answer:

A = 12

Step-by-step explanation:

First you need to get the length from the perimeter, the formula is l= p/2 - w

After using the formula, you would get 6 for length. The formula for the area of a rectangle is a = lw, so you would multiply 6 and 2 which would give you 12 as your answer.

I apologize if I made any grammar mistakes or if it is unclear.

Answer:

I got area is 12 too

Step-by-step explanation:

2x2=4 because 2 widths

16-4 to find the 2 lengths added up

12÷2 to find the length

6x2=12 because length times width

a school has 60 girls and 90 boys. the ratio of girls to boys​

Answers

Answer:

60:90

Step-by-step explanation:

The ratio of girls (G) to boys (B) is 2 : 3.

Let the girls be represented by G.Let the boys be represented by B.

Given the following data:

Number of girls = 60 girlsNumber of girls = 90 boys

In this exercise, you're required to find the ratio of girls (G) to boys (B). In order to do this, we would divide the two values to the least.

[tex]G : B = 60 : 90[/tex]

Dividing both sides by 30, we have;

[tex]G : B = \frac{60}{30} : \frac{90}{30} \\\\G : B = 2 : 3[/tex]

Therefore, the ratio of girls (G) to boys (B) is 2 : 3.

Read more: https://brainly.com/question/12212308

Construct an equation for the expression: 3 less than 2 times a number is 7. Show the solution to the equation and prove your solution to be true through your work.

Answers

Answer:

5 x 2 -3 = 7

Step-by-step explanation:

i mean.... thats all

Please help me I am insanely confused!!! PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

340.4 in³

Step-by-step explanation:

volume= (½× 8 × 6.9 × 10) + (⅓×½×8×6.9×7)

= 276 + 64.4 = 340.4 in³

In the figure below, EC || AB. Find the length of EC.

Select the best choice from the answers provided.
A.) 12.5
B.) 18
C.) 25
D.) 39.6

Answers

Answer:

Letter a)

Step-by-step explanation:

quizlet

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