Mathematics, 21.05.2021 17:30 lilay30

The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Required:
Do the data provide statistically significant evidence at the 0.06 kevel that the average teaching stay in the metro Atlanta area is greater than the state average?

Answers: 3

Show answers

Answers

The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.

Step-by-step explanation:

The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more.

At the null hypothesis, we test if they pay the average, that is:

$H_0: \mu = 48553$

At the alternate hypothesis, we test if they pay more, that is:

$H_1: \mu 48553$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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

48553 is tested at the null hypothesis:

This means that $\mu = 48553$

Sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.

This means that $n = 228, X = 49021, \sigma = 3127$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{49021 - 48553}{\frac{3127}{\sqrt{228}}}$

z = 2.26

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 49021, which is 1 subtracted by the p-value of z = 2.26.

Looking at the z-table, z = 2.26 has a p-value of 0.9881

1 - 0.9881 = 0.0119

Answer from: Quest

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation:

Answer from: Quest

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the square root of the area

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

If m∠abc = 70°, what is m∠abd? justify your reasoning. using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°. using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°. using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality. using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Which of the following shows the length of the third side, in inches, of the triangle below

Answers: 2

Answer

Mathematics, 21.06.2019 22:20

Which is the focus of a parabola with equation y2=4x

Answers: 1

Answer

You know the right answer?

The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlant...