Select the graph that does not represent two quantities in a proportional relationship.

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

2 years ago

What is the image of the point (4,7) after a reflection about the line y = 4.?

lord [1]

Answer:

(4, 1)

Step-by-step explanation:

See attachment courtesy of Desmos.

8 0

2 years ago

What is the solution set of |- x| = - 10?

Vaselesa [24]

Answer:

No Solution

Step-by-step explanation:

|-x| always = | x |

| x | = - 10

If x = 10, It does not equal to - 10

If x = -10, It becomes 10 because its an absolute value, So it does not equal to -10

So, there is No Solution

7 0

2 years ago

HOOK is a word that has horizontal line symmetry since it is made up of letters that each have horizontal line symmetry. Can you

storchak [24]

Another word that has horizontal line symmetry is "book" and it is possible to form words with vertical line symmetry.

<h3>What is horizontal line symmetry in letters?</h3>

This implies that by dividing the letter in half using a horizontal line both sides would be the same. Lettters with horizontal line symmetry include:

H
K
O
E
B
C

<h3>What are some words with these symmetry?</h3>

Hood
Book
Cook
Bee

<h3>Are words with vertical line symmetry possible?</h3>

Yes, they are because there are many letters that have this symmetry such as V, T, A, O, M, I, H. For example you can create the words:

Hi
Mum
Hit

Learn more about letters in: brainly.com/question/10361926

6 0

1 year ago

Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan. Ho

Stels [109]

Answer:

Ben is 19 Ishaan is 7

Step-by-step explanation:

7 0

3 years ago