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
adelina 88 [10]
2 years ago
5

In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. Th

e sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
7 0

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that \mu = 0

Randomly select 10 cars

This means that n = 10

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that X = 0.41, s = \sqrt{0.16} = 0.4

Calculate the test statistic.

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}

t = 3.24

The test statistic is t = 3.24.

You might be interested in
Find the range for the measure of the third side of a triangle if the measuresof the two sides are 10 and 16.
VladimirAG [237]
Minimum length: 16-10=6
Maximum length: 10+16=26

In both cases the triangle is flattened to a straight line!
5 0
3 years ago
I need the graph functioned
s2008m [1.1K]
Can yall help me with my last two questions i posted
5 0
3 years ago
Read 2 more answers
Double the expression 8x-3.55
kobusy [5.1K]

16x-7.1 is the doubled version of that expression

7 0
3 years ago
Read 2 more answers
Multiplying by 1.75 is the same as increasing by _____%.
nevsk [136]

Step-by-step explanation:

1.75% × 10,000 =

(1.75 ÷ 100) × 10,000 =

(1.75 × 10,000) ÷ 100 =

17,500 ÷ 100 =

175 hope this helped, pls rate brainliest

5 0
3 years ago
You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
3 years ago
Other questions:
  • In 2013, the national debt was
    5·1 answer
  • I want to know what is 43 x 30 this question might be really hard?
    12·2 answers
  • f the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be
    10·1 answer
  • If x^2 + y^2 = 25, find the equation of the line tangent to the circle when x = -4
    9·1 answer
  • What does it mean to multiply fractions?
    6·1 answer
  • Simplify the equation 5x + 4 = -16
    13·1 answer
  • Some help me with these two questions please!!!!!!!
    8·1 answer
  • ZA and B are vertical angles. If m A = (5x + 6) and m B = (6.2 – 25)°, then find the value of x.​
    6·1 answer
  • Select the values of r that make the inequality true.
    5·2 answers
  • Here is a linear equation: y = 1/4x + 5/4 Are (1. 1.5) and (12.4) solutions to the equation? Select the correct choice
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!