Ask question

Ask question

All categories

3 years ago

10

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo

r a sample of 14 stations last Tuesday, the correlation was 0.65. Can the company conclude that the correlation is positive

1 answer:

Semenov [28]3 years ago

6 0

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

The sample size is n = 14

The correlation is r = 0.65

The null hypothesis is $H_o : r < 0$

The alternative hypothesis is $H_1 : r > 0$

Generally the standard deviation is mathematically evaluated as

$Sr = \sqrt{1- r}$

$Sr = \sqrt{1- 0.65}$

$Sr = 0.616$

The degree of freedom for the one-tail test is

$df = n- 2$

$df = 14- 2$

$df = 12$

The standard error is evaluated as

$SE = \frac{0.616}{ \sqrt{12} }$

$SE =0.1779$

The test statistics is evaluated as

$t = \frac{r }{SE}$

$t = \frac{0.65 }{0.1779}$

$t = 3.654$

The p-value of of t is obtained from the z table, the value is

$p-value = P(t < 3.654) = 0.00012909$

Given that $p-value < \alpha$ then we reject the null hypothesis

Hence the company can conclude that the correlation is positive

You might be interested in

2+4 vngfhgffbhdhfjgjdgjdfjdd

Scorpion4ik [409]

The answer is 6 but idk that last part

6 0

3 years ago

Read 2 more answers

A point P(x,y) moves along the graph of the equation y = x3 + x2 + 2. The x-values are changing at the rate of 2 units per secon

CaHeK987 [17]

Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.

---------------------

The equation is:

$y = x^3 + x^2 + 2$

Applying implicit differentiation in function of t, we have that:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

x-values changing at a rate of 2 units per second means that $\frac{dx}{dt} = 2$
Point Q(1,4) means that $x = 1, y = 4$ .

We want to find $\frac{dy}{dt}$ , thus:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

$\frac{dy}{dt} = 3(1)^2(2) + 2(1)(2) = 6 + 4 = 10$

y is changing at a rate of 10 units per second.

A similar problem is given at brainly.com/question/9543179

5 0

2 years ago

What is the value of X?

nasty-shy [4]

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

6 0

2 years ago

Suppose f(x) = x. Find the graph of f(x+2).

Ostrovityanka [42]

<h2>Hello!</h2>

The answer is:

The fourth graph.

<h2>Why?</h2>

We are given the following equation:

$f(x)=x$

Then, we need to find the graph of f(x+2) that will be equal to:

$f(x+2)=x+2$

$y=x+2$

Now, finding the x-axis interception, making "y" equal to 0, we have:

$0=x+2$

$-2=x$

Therefore, the x-axis interception point is located at (-2,0), it matches with the fourth graph.

Now, finding the y-axis interception, making "x" equal to 0, we have:

$y=x+2$

$y=0+2=2$

Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.

Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.

Have a nice day!

7 0

2 years ago

Can someone explain how you would find the answer

zzz [600]

Answer:

B. point B

because -16/6 = - 2.67 here we can see the point B is in that place so.

3 0

3 years ago

Read 2 more answers