1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
3 years ago
7

A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the differen

ce in the two​ brands, an experiment is conducted using 8 of each​ brand, assigned at random to the left and right rear wheels of 8 taxis. The tires are run until they wear out and the​ distances, in​ kilometers, are recorded in the accompanying data set. Find a 95​% confidence interval for mu1minusmu2. Assume that the differences of the distances are approximately normally distributed.
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 8 of each brand, assigned at random to the left and right rear wheels of 8 taxis. The tires are run until they wear out and the distances, in kilometers, are recorded in the accompanying data set. Find a 95% confidence interval for Hx - Hy. Assume that the differences of the distances are approximately normally distributed Data Set Let, Hx be the population mean for brand A and let Hy be the population mean for brand B. The confidence interval is -42- (Round to one decimal place as needed.) Taxi Brand A 37,700 46,800 36,500 40,600 43.600 31,300 37,600 43.800 Brand B 39,800 47,500 37.100 39,200 42,900 36,000 38,700 45,000

Solution:

For brand A,

Mean,x1 = (37700 + 46800 + 36500 + 40600 + 43600 + 31300 + 37600 + 43800)/8 = 39737.5

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (37700 - 39737.5)^2 + (46800 - 39737.5)^2 + (36500 - 39737.5)^2 + (40600 - 39737.5)^2 + (43600 - 39737.5)^2 + (31300 - 39737.5)^2 + (37600 - 39737.5)^2 + (43800 - 39737.5)^2 = 172438750

Standard deviation = √(172438750/8

s1 = 4642.72

For brand B,

Mean,x2 = (39800 + 47500 + 37100 + 39200 + 42900 + 36000 + 38700 + 45000)/8 = 40775

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (39800 - 40775)^2 + (47500 - 40775)^2 + (37100 - 40775)^2 + (39200 - 40775)^2 + (42900 - 40775)^2 + (36000 - 40775)^2 + (38700 - 40775)^2 + (45000 - 40775)^2 = 111635000

Standard deviation = √(111635000/8

s2 = 3735.56

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 95% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (8 - 1) + (8 - 1) = 14

z = 2.145

x1 - x2 = 39737.5 - 40775 = -1037.5

z√(s1²/n1 + s2²/n2) = 2.145√(4642.72²/8 + 3735.56²/8)

= 4519.1

95% Confidence interval = - 1037.5 ± 4519.1

You might be interested in
Patrice goes to fishers candy shop with the price of gummy candies modeled by the equation y=5/2x where x is the amount of gummy
icang [17]

Answer:

You need to put the question, but I'll try to help as much as I can without the question. y=5/2x, if you put the amount of gummy candy in lbs in the x's place, and you multiply the amount by 5/2, you will get the price.

Step-by-step explanation:

7 0
3 years ago
What is a fraction of 42 is 7
kramer
\frac{7}{42}\ of\ 42\ is\ equal\ 7\\\\check:\frac{7}{42}\cdot42=\frac{7}{42}\cdot\frac{42}{1}=\frac{7}{1}=7
3 0
2 years ago
find two numbers that round to 15.5 when rounded to the nearest tenth. besides 15.04 15.55 15.508 15.445 15.0 15.49
Kitty [74]
Two other numbers are 15.48 and 15.52
4 0
2 years ago
Which correctly describes the graph shown below
Alborosie
The answer is C. Explanation: The line isn’t a straight line, so it can’t be a linear line. Then, do the vertical line test to see if the line is a function (to do this, draw a vertical line through the graph, and see if it passes more than one point on the graph. If the vertical line passes any more than one point on the graph on any spot, it is not a function), and since the graph fails the vertical line test, it is not a function. Therefore, the answer is C.
5 0
3 years ago
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-
Elza [17]

3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.

Given in question,

Pick-up fee = $2.50

Fee per mile = $3.50

Total fare = $79.50

Let the no. of miles = m

Fee for m miles = 3.50m

Equation, 3.50m + 2.50 = 79.50.

Hence, the equation is 3.50m + 2.50 = 79.50.

To learn more about equation here:

brainly.com/question/14686792

#SPJ1

5 0
1 year ago
Other questions:
  • Solve for x: 2|2x − 2| + 4 = 20.
    14·2 answers
  • Anyone waanna talk on Instagram ​
    9·2 answers
  • X^6+3x^3-5 <br> write the expression in quadratic form
    6·1 answer
  • 6. An ice cream costs 15 more than a cold drink. If the cost of
    13·2 answers
  • 20 POINTSSS AND I WILL GIVE BRAINLIEST !!
    9·1 answer
  • El tamaño de cierto cultivo de bacterias se multiplica por 2 cada 30 minutos. Si suponemos que el cultivo tiene inicialmente 256
    13·1 answer
  • PLS HELP ME FAST PLS !!!!!!!!!!!
    13·1 answer
  • Finding Missing Measurements.
    6·1 answer
  • Please help me its help.
    12·2 answers
  • Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!