A circle has its center at (5, -2) and a radius of 3 units. What is the equation of the circle?
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The decision rule is reject H(0) if t>1.714, test statistic t is 7.157 and Yes, we can conclude that the correlation in the population is greater than zero.
In the given question,
A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.86.
n=20, r = 0.86
The decision rule for α=0.05 significance level:
H(0): P ≤ 0
H(1): P > 0
Degree of freedom(df) = n-2
Degree of freedom(df) = 20-2
Degree of freedom(df) = 18
This is the right tailed test using the t table.
Critical Value: , df =
= 1.714
(a) The decision rule is reject H(0) if t>1.714.
(b) Test statistic is t
t= r√(n−2)/√(1–r^2)
t= 0.86*√(20 -2)/√(1-(0.86)^2)
t= 0.86*√18/√(1-0.7396)
t= 0.86*4.243/√0.2604
t= 3.65/0.51
t= 7.157
Test statistic = 7.157
(c) We have to conclude that the correlation in the population is greater than zero.
Yes, we can conclude that the correlation in the population is greater than zero.
To learn more about test statistic z link is here
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<h3>Answer:</h3>
There is an infinite number of common denominators, but 12 is the <em>least</em> common denominator. You could also use any other number that is a multiple of 12, such as 24, 36, and 48.
<h3>Explanation:</h3>12 is the least common denominator because it is the smallest number that is a multiple of both 4 and 6.
You can also use any other multiples of 12 because they are all multiples of 4 and 6.