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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin

drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 28$

The alternate hypotesis is:

$H_{1} < 28$

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.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that $n = 50, X = 26$

Assume the population standard deviation is 6.2 weeks.

This means that $\sigma = 6.2$

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when $\mu = 28$ . It if is lower than 0.05, it provides evidence.

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

$z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}$

$z = -2.28$

$z = -2.28$ has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0

2 years ago

A hollow cylinder, open at one end, is constructed of thin sheet metal. The total external surface area of the cylinder is 192pi

MrRa [10]

S A = r² π + 2 r π h
192 π = r² π + 2 r π h / : π
192 = r² + 2 r h
2 r h = 192 - r²
h = (192 - r² ) / 2 r
V = r² π h = r² π ( (192 - r² ) / 2 r ) =
= π / 2 ( 192 r - r³ )

7 0

2 years ago

What property involves using opposites?

Kipish [7]

Answer:

Inverse property

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is a system of equations for the following situation? There is a total of 40 questions on a test. Some questions are multip

Elden [556K]

First we define the variables:

m = multiple choice questions

s = short answer questions

Next we need to satisfy 2 conditions:

1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:

$m+s=40$

2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:

$2m+4s=100$

By satisfying the conditions provided we were able to create the 2 equations!

$m+s=40$

$2m+4s=100$

8 0

2 years ago

The graph below shows a proportional relationship between y and x .

Gennadij [26K]

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

6 0

2 years ago