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
Veseljchak [2.6K]
3 years ago
10

A survey of 32 different gas stations in Texas found the average price of gasoline to be $3.19 a gallon with a sample standard d

eviation of $0.096. Let μ be the true average price of gasoline price in Texas. The survey company claimed that gasoline in Texas was significantly lower than the national average $3.26 a gallon. The alernative hypothesis to test the claim is H 1 : μ <$3.26. Calculate the test statistic.
Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

The value of test statistic is -4.1247

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $3.26 a gallon

Sample mean, \bar{x} = $3.19 a gallon

Sample size, n = 32

Sample standard deviation, σ = $0.096

First, we design the null and the alternate hypothesis

H_{0}: \mu = 3.26\text{ dollars a gallon}\\H_A: \mu < 3.26\text{ dollars a gallon}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{3.19 - 3.26}{\frac{0.096}{\sqrt{32}} } = -4.1247

Thus, the value of test statistic is -4.1247

You might be interested in
Which of the following is not a possible value for a probability?
USPshnik [31]
Probability can never be greater than 1. Therefore 11.05 is not a possible value for a probability.
6 0
3 years ago
Read 2 more answers
Y=2/3x constant of proportionality
kvv77 [185]

Answer:

Looking at the equation, k=23 is our constant of proportionality because 23 is the constant number we multiply x by.

4 0
2 years ago
The statement "cot theta= 12/5, sec theta = -13/5, and the terminal point determined by theta in quadrant 4"
lora16 [44]
If cot θ = 12/5, then tan θ = 5/12.
If sec θ = -13/5, then cos θ = -5/13

For tan θ to be positive while cos θ is negative, the quadrant is 3.
The figure below shows θ graphed as a reference angle in quadrant 3.

Answer:
The statement that θ is in quadrant 4 is FALSE.

5 0
3 years ago
(x+6)(x-5) what is the degree,leading coefficient,constant term,horizontal interception,vertical intercepts
nikitadnepr [17]

Degree: 2

Leading coefficient: 1

Constant term: -30

Horizontal/X intercepts: (-6, 0) and (5, 0)

Vertical/Y intercept: (0, -30)

Here's a quick rundown: Distribute to find the standard form quadratic. Because it is quadratic, its degree must be 2. There isn't any number before the first variable, so it can be assumed to be 1. The last term, which doesn't have a variable and therefore the constant, is -30. By reversing the signs of the signs of the numbers in the factors, you can easily find the horizontal intercepts/X-intercepts/zeros/roots which are (-6, 0) and (5, 0). The constant term will in most cases also be the Y-intercept/horizontal intercept. Therefore the Y-intercept is (0, -30) This applies to this equation because there is nothing being multiplied across the entire equation.

5 0
2 years ago
Ngle DCA is 120°. What percent of the circle's area does this section represent?
krok68 [10]

a circle has 360°

so, you have 120°

divide 360/120= 3

so, DCA represents 1/3 of the circle

3 0
3 years ago
Read 2 more answers
Other questions:
  • Is 24x + 12 and 24 + 12x equivalent
    15·1 answer
  • Hey can you please help me posted picture of question
    6·2 answers
  • In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
    8·2 answers
  • HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will
    13·1 answer
  • Can I have some help please?? I will give Brainliest!!!
    13·2 answers
  • Review later
    14·1 answer
  • A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t
    14·1 answer
  • Rani finishes painting her room at 4:17 p.m. She painted for 42 minutes​
    5·1 answer
  • Factor the following by completing the square w^4-22w^2+9
    10·1 answer
  • If -2 is added to a number and the sum is doubled, the result is -15 less than the number.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!