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A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L,

Delicious77 [7]

Answer:

The test statistic for Norah's test is $t = -2$

Step-by-step explanation:

Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.

This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

$H_0: \mu = 500$

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

$H_a: \mu \neq 500$

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.

500 is tested at the null hypothesis:

This means that $\mu = 500$

She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.

This means that $n = 16, X = 497, s = 6$

Calculate the test statistic for Norah's test.

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

$t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}$

$t = -2$

The test statistic for Norah's test is $t = -2$

4 0

3 years ago

Read 2 more answers

Help me with this please

QveST [7]

Answer:

Slope is equal to the change in y over the change in x , or rise over run.

m=change in y/ change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=0−(2)/9−(5)

Simplify.

m=−12

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Complete the patterns<br><br> 0, 1, 3, 7, 15, 31, _<br> 0, 1, 1, 2, 3, 5, 8, 13, _

Ratling [72]

Answer:

63

21

Step-by-step explanation

4 0

3 years ago

Read 2 more answers

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations diff

liubo4ka [24]

Answer:

There is only one real zero and it is located at x = 1.359

Step-by-step explanation:

After the 4th iteration the solution was repeating the first 3 decimal places. The formula for Newton's Method is

$x_{n}-\frac{f(x_{n}) }{f'(x_{n}) }$

If our function is

$f(x)=x^5+x-6$

then the first derivative is

$f'(x)=5x^4+1$

I graphed this on my calculator to see where the zero(s) looked like they might be, and saw there was only one real one, somewhere between 1 and 2. I started with my first guess being x = 1.

When I plugged in a 1 for x, I got a zero of 5/3.

Plugging in 5/3 and completing the process again gave me 997/687

Plugging in 997/687 and completing the process again gave me 1.36976

Plugging in 1.36976 and completing the process again gave me 1.359454

Plugging in 1.359454 and completing the process again gave me 1.359304

Since we are looking for accuracy to 3 decimal places, there was no need to go further.

Checking the zeros on the calculator graphing program gave me a zero of 1.3593041 which is exactly the same as my 5th iteration!

Newton's Method is absolutely amazing!!!

5 0

4 years ago

What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be si

lozanna [386]

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

Given parameters:

Points = (1,1) and (5,-5)

Unknown:

Slope = ?

Solution:

The slope of the a line is the ratio of the rise of a line to its run.

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

x1 = 1

y1 = 1

x2 = 5

y2 = -5

Insert the parameters and solve;

Slope = $\frac{-5 - 1}{5-1}$ = $\frac{-6}{4}$ = $-\frac{3}{2}$

4 0

3 years ago