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](https://tex.z-dn.net/?f=H_%7B0%7D%20%3D%2028)
The alternate hypotesis is:
![H_{1} < 28](https://tex.z-dn.net/?f=H_%7B1%7D%20%3C%2028)
The test statistic is:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the value tested at the null hypothesis,
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](https://tex.z-dn.net/?f=n%20%3D%2050%2C%20X%20%3D%2026)
Assume the population standard deviation is 6.2 weeks.
This means that ![\sigma = 6.2](https://tex.z-dn.net/?f=%5Csigma%20%3D%206.2)
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
. It if is lower than 0.05, it provides evidence.
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B26%20-%2028%7D%7B%5Cfrac%7B6.2%7D%7B%5Csqrt%7B50%7D%7D%7D)
![z = -2.28](https://tex.z-dn.net/?f=z%20%3D%20-2.28)
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
Answer: Divide 93.7 by 2.7
Step-by-step explanation:
Explanation in progress:
Let’s say the the smudged number is x, for simplicity.
So, the equation will look like this:
x · 2.7 = 93.7
To get x, you will have to isolate it, meaning leave it alone and bring all the other numbers to the other side.
Since we used multiplication for x, we need to use the opposite of it, which is division, to get rid of the number next to the x.
The equation will now look like this:
= ![\frac{93.7}{2.7}](https://tex.z-dn.net/?f=%5Cfrac%7B93.7%7D%7B2.7%7D)
Therefore, we will be using division to solve this problem, making the answer to be “divide 93.7 by 2.7”.
Hope this helps! :)
Answer:
Coordinates are in the form (x,y). This means you go x units along the x-axis and y units along the y-axis.
(8,0) means you go 8 along the x-axis, and 0 along the y-axis.
Answer:
It will cover 4.5 miles in 30 seconds.
Step-by-step explanation:
An airplane is flying from nyc to la.
The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :
d=0.15t ...(1)
Let us assume we need to find the distance at t = 30 s.
Put t = 30 s in equation (1).
d=0.15 × 30
d = 4.5 miles
Hence, it will cover 4.5 miles in 30 seconds.
Answer: m<3 is 36 degrees.
Step-by-step explanation:
7x=3x+9+3x
7x=6x+9
-6x -6x
x=9
m<3=3(9)+9
m<3=27+9
m<3=36