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
user100 [1]
3 years ago
15

Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh

ether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed.
Driver Manufacturer A Manufacturer B
1. 32 28
2. 27 22
3. 26 27
4. 26 24
5. 25 24
6. 29 25
7. 31 28
8. 25 27
At a.10, the null hypothesis
a) should not be rejected.
b) should be rejected.
c) should be revised.
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

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

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

You might be interested in
In a circle, what does the ratio A/r^2 represent?
Pepsi [2]
The ratio A/r² would represent \pi which is the circumference of a circle divided by its diameter.

You can see this because the area of a circle is \pir² and if you divided that by the radius squared, you are given pi which is the circumference of a circle divided by its diameter.
5 0
3 years ago
2<br> Which expression is equivalent to
love history [14]
The second option square root of 2^5
6 0
3 years ago
Read 2 more answers
A company's current stock price is $50.00 and its most recent dividend was $2.00 per share. Since analysts estimate the company
4vir4ik [10]

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

6 0
2 years ago
The distance between the points (4, 5) and (2, 2)
Morgarella [4.7K]

Answer:

(2,3)

Step-by-step explanation:

6 0
2 years ago
The total amount of money that he had deposited into his account at the end of March is what
valkas [14]

Answer: 1,200.65+ 985.43+ 1,200.23= 3,386.31

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
    15·2 answers
  • A New York taxi service charges a $3.25 boarding rate in addition to its meter which is $2 for every mile. How much does it cost
    11·1 answer
  • Which is a terminating decimal number? A 3.14159... B2.3 repeated C 1.25 D 7.141414 repeated
    15·2 answers
  • A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probabi
    14·1 answer
  • I count on equal steps my first number is -2 my fifth number is 26 what’s my third number
    13·1 answer
  • There are 10 gallons of water in a tank. Each minute, 4 more gallons are added. The volume of the water in a tank after t minute
    11·1 answer
  • Sandys high school played 18 games this year and were defeated during 4 games how many did they win ?
    5·1 answer
  • Is 2/10 a simplest form
    11·2 answers
  • I need help with 36 please ❤️❤️
    12·1 answer
  • 21 is what percent of 175?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!