If the working age population is 250 million, 170 million are employed and 9 million are unemployed, the unemployment rate is
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Answer:
The value of test statistics is 1.06.
Step-by-step explanation:
We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.
We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.
Let, NULL HYPOTHESIS, :
= 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}
ALTERNATE HYPOTHESIS, :
> 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}
The test statistics that will be used here is One-sample t-test;
T.S. = ~
where, = sample mean amount of time per month each teenager watched social media posts = 15.6 hours
= sample standard deviation = 2.5 hours
n = sample of teenagers = 11
So, <u>test statistics</u> = ~
= 1.06
Hence, the value of test statistics is 1.06.
From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm