A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?

Answers

Answer 1

Answer:

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Step-by-step explanation:

Given the data in the question;

x' = 46500

σ = 8000

sample size n = 28

Null hypothesis              H₀ : μ ≥ 50000

Alternative hypothesis  H₁ : μ < 50000

level of significance ∝ = 0.05

Using Test statistics;

Z = [(x' - μ ) / (σ√n)] ~ (0,1)

we substitute

Z = [(46500 - 50000 ) / (8000√28)]  

= -3500 / 1511.85789

= - 2.31

{ since alternative  hypothesis is left tailed } from z-table;

p-value = P( z ≤ -2.32 )

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim


Related Questions

Find the measure of arc HJ.

Answers

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

A random sample of 30 males with online dating profiles are recruited for a study about lying in online dating profiles. Each male's actual height is measured and compared to the height posted in their online profile. The difference between the online profile height and the actual height (profile- actual) for each male is computed. The mean difference in height is determined to be 0.57 inches with a standard deviation of 0.81 inches. Determine a 95% confidence interval for the difference in mean profile height and mean actual height of online daters.

Answers

Answer:

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.

The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile

Answers

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)


PLEASE HELP WITH NUMBER ONE or all of them will mark Brainly-est

Answers

Answer:

Step-by-step explanation:

 

Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Answers

Answer:

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

Step-by-step explanation:

I am 99% sure these are correct

Could someone pls help me

Answers

yes 3x-24 except 34 leaves you with 3

The relationship below is proportional true or false

Answers

Answer:

false.........

Step-by-step explanation:

......

Suppose you buy a CD for $300 that earns 3% APR and is compounded
quarterly. The CD matures in 5 years. Assume that if funds are withdrawn
before the CD matures, the early redemption fee is 3 months' interest. What is
the early redemption fee on this account?
A. $1.50
B. $6.00
C. $2.25
D. $3.75

Answers

I believe the answer you’re looking for is C exclamation :hope this helps

The early redemption fee on this account is $2.25.

What is APR?

The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.

We buy a CD for $300 that earns 3% APR and is compounded quarterly.

So, The early withdrawal fee is equivalent to 3 months' interest.  

= (APR / 12) X 3

= APR / 4

= 3% / 4

= 0.03/ 4

= 0.75

and, the Early withdrawal fee = 0.75 x $300

Thus, the redemption fee  is

= 0.0075 x $300

= $2.25

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12 = 0.005 X W
Solve the equation

Answers

Please mark me brainliest!!!

The answer is W= 2400 bc you have to divide both sides.

Hope this helps!

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Find m∠ECD

m∠B = __°
m∠ECD = __°

Answers

Answer:

Angle B= 31°

angle ECD=118°

Step-by-step explanation:

It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.

angle A=angle B

31°=31°

So Angle B=31°

angle ACB+angle B+angle A=180°

angle ACB+31°+31°=180°

angle ACB+62°=180°

angle ACB=180°+62°

angle ACB=118°=angle ECD

Because It Is Him Opposite Angle

Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125

Answers

The answer is D fasho fasho

. You want to buy a new pair of shoes. You have a coupon for $15 off. Once you get to the store, you realize your shoes are on sale for 20% off, but you can't use both the sale price and the coupon. Which discount would offer a better deal if the original price of the shoes is $150? Explain your decision.​

Answers

Answer:

I would use the sale price.

Step-by-step explanation:

20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.

literally a goat if someone gives me an answer for this please

Answers

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate data set with 20 values. Alice claims that a sample size of 25 will produce a narrower interval, all other things remaining the same. Desmond claims that a sample size of 15 will produce a narrower interval. Which statement is true about the claims made by Alice and Desmond?

a. Alice’s claim is correct.
b. Desmond’s claim is correct.
c. Both Alice’s claim and Desmond’s claim are correct.
d. Neither Alice’s claim nor Desmond’s claim is correct.
e. There is not enough information to determine whether the claims are correct.

Answers

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

A race is 6.75 kilometers long. What is the distance of this race in meters?

Answers

Answer:

6750 meters

Step-by-step explanation:

1 kilometer = 1000 meters

1000*6.75=6750

Answer:

6750 meters

Step-by-step explanation:

Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters

Newton yayınları anahtar kodu

Answers

Answer:

What does this even say maybe I can try and help.

Will the two expressions always be equivalent,
regardless of the value of p? Explain.
3(2p) and 2(3p)

Answers

Answer:

Yes

Step-by-step explanation:

If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same

Your cousin is building a sand box for his daughter

How much sand will he need to fill the box

how much paint does he need for the box

Answers

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

How much interest would $1,000 earn in one year at a rate of 6%, compounded annually? What would be the new balance?

Please, help me!

Answers

Answer:

The investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Step-by-step explanation:

To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:

1000 x (1 + 0.06 / 1) ^ 1x1 = X

1000 x 1.06 ^ 1 = X

1000 x 1.06 = X

1060 = X

Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.

The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and the Reputation of the Company for over 250 world-wide corporations. Both the Quality of Management and the Reputation of the Company were rated on an Excellent, Good, and Fair categorical scale. Assume the sample data for 200 respondents below applies to this study.

Reputation of Company

Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15

Required:
a. Use α = 0.05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
b. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.

Answers

Answer:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

15                       7.50                                 7.50  

∑                                                               17.0281

     

     

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

what factors determine the amount of interest earned on a fixed principal​

Answers

Answer:

The interest rate and the number of compounding periods best describe the factors that determine the amount of interest because they encompass the ideas of time and yield.

Step-by-step explanation:

Hope this helps!!!

Answer this I’ll give brainalist + points, please help!

Answers

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.

Which rule represents the dial toon applied to rectangle QRST to create triangle QRST

Answers

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

[tex]QR = 4[/tex]

[tex]Q'R' = 8[/tex]

k, is then calculated as:

[tex]k = \frac{Q'R'}{QR}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Hence, QRST is dilated by a factor of 2


I will give Brainiest

Answers

Jdjsjdkjdjxkxkeowppwpxñflflglflflf

Jim, Dan, and David share some sweets in the ratio 6:2:1. Jim gets 25 more sweets than David. How many sweets are there altogether

Answers

Answer:

45 sweets.

Step-by-step explanation:

6:2:1

To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.

6 x 5 = 30

1 x 5 = 5

30 - 5 = 25.

So, Jim as 30 candy and Dan has 1. How much does David have?

Just do the same thing but with 2 x n:

2 x 5 = 10.

Now add them together:

30 + 10 + 5 = 45.

Therefore, 45 sweets!

A farmer watered 3/8 of a field. What percentage is equivalent to the fraction of the field the farmer watered?

Answers

Answer: 37.5%

Step-by-step explanation:

To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.

Can someone pls help me?​

Answers

Answer:

26

Step-by-step explanation:

a complementary angle measures 90 degrees. minus the 64 would be 26

how to calculate tax rebate​

Answers

Charge interest to the tax and you’ll get the rebate

please answer fast!!

Answers

Answer:

x=70

Step-by-step explanation:

[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]

Answer:

x=70

Step-by-step explanation:

I hope i was right have a good day!!

Select all correct conversions.
0.6 km = 6,000 m
46 m = 4,600 cm
457 mm = 4.57 cm
7.5 m = 0.0075 km
0.31 m = 310 mm
Which ones are it?

Answers

Answer:

310 mm 0.6 km = 6,000 m 457 mm = 4.57 cmStep-by-step explanation:

The statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that conversations  1km = 1000 m

1 cm = 10 mm

1 m = 100 cm

0.6 km = 6,000 m is not correct, as 0.6 km is 600m

46 m = 4,600 cm is correct.

0.31 m = 310 mm is correct

457 mm = 4.57 cm is incorrect, as 457 mm  is 45.7 cm

7.5 m = 0.0075 km is correct

0.31 m = 310 mm is correct

Hence, the statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

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Other Questions
You now know a lot about all the angles formed from two straight lines that intersect. You know which angles are congruent and which angles are supplementary. Based on this information, you can find the angle measurements of all the angles even when you only know the measurement of one angle. In the figure below, angle 2 measures 145 degrees. What are the measurements of angles 1, 3 and 4? A angle 1 = 35 degrees, angle 3 = 145 degrees, angle 4 = 35 degrees B angle 1 = 30 degrees, angle 3 = 30 degrees, angle 4 = 160 degrees C angle 1 = 35 degrees, angle 3 = 35 degrees, angle 4 = 145 degrees D angle 1 = 135 degrees, angle 3 = 145 degrees, angle 4 = 35 degrees Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk she drinks in a day, using significant digits. A. 0.325 L B. 0.33 L C. 1 L D. 3.25 L what are different history sources? Corey buys chicken wings at a rate of $10 for 40 wings. He sells 10 wings for $5.How much does Corey pay for each chicken wing he purchases? For her birthday party, Kelly invited her friends to a nearby roller-skating rink. The area of the rectangular rink is 1,530 ft2, and the length is 51 ft. What is the width of the rink? PLEASE HELP!!!!What mixed number do these squares model? 19/5=?Enter your answer Decay product of Potassium-40 The phasor technique is not valid if the frequencies of the sinusoids in the time domain are different. Part F - Use phasors to combine sinusoids The phasor technique makes it pretty easy to combine several sinusoidal functions into a single sinusoidal expression without using trigonometric identities. However, you cannot use the phasor technique in all cases. Select the expressions below for which the phasor technique cannot be used to combine the sinusoids into a single expression. a. 45 sin(2500t 50) + 20 cos(1500t +20) b. 25 cos(50t + 160) + 15 cos(50t +70) c. 100 cos(500t +40) + 50 sin(500t 120) 120 cos(500t + 60) -100 sin(10,000t +90) + 40 sin(10, 100t 80) + 80 cos(10,000t) d. 75 cos(8t+40) + 75 sin(8t+10) 75 cos(8t + 160) Complete the ratio table.1514426056757090 Plzzzzz help AND PLZ DON'T ANSWER WITH A LINK!!!!! Help ASAP PLS! 20 Points:) I am reporting any fake responses so please be for real, I appreciate it!The population of a species of starfish in the Gulf of Mexico is decreasing at an exponential rate, A(t) = A0e(kt) . Five years ago the population was 10,000. The current population is only 2000. When the population is 500, the starfish population cannot recover. When will this event occur?Show your work and explain the process of solving this problem. help ples me i hate ixl When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car. What the citizenship requirement for house of representative :)Given that the volume of a rectangular prism is given by the formula V = lwh, what is the value of V if I = 7 cm, w = 5cm, and h = 4 cm?A)16 cmB)48 cmC)70 cmD)140 cm There is a bag with only milk and dark chocolates.5The probability of randomly choosing a dark chocolate is 112There are 25 dark chocolates in the bag and each is equally likely to be chosen.Work out how many milk chocolates there must be. i need the answer asap 20 pointsIn an arithmetic sequence, the first term, a_1,a 1 , is equal to 5,5, and the fifth term, a_{5},is equal to 41.41. Which number represents the common difference of the arithmetic sequence? What are some examples and non-examples of digital security? Which statement from the passage is not relevant in helping readers determine the focus of the essay's content?A) I think Roger Elementary School needs a recycling program so that we can help keep the earth clean. B) We need a recycling program like this at our school.C) Please help to start a recycling program.D) Many drink containers are made of foil, metal, or plastic. There are 1,065 students going on a trip. Each bus holds 60 students. How many buses are needed to hold all of the students?