Who replaced circles with ellipses in a heliocentric model of the universe
1 answer:
You might be interested in
Answer:
Check the explanation
Step-by-step explanation:
Going by the first attached image below we reject H_o against H_1 if obs.
here obs.T=1.879
we accept at 5% level of significance.
i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.
1.
this problem is simillar to the previous one except the alternative hypothesis.
Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.
we assume that independently
We want to test
define
now
the hypothesis becomes
in the third attached image, we use the same test statistic as before
i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .
Answer:
The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.
Step-by-step explanation:
Given equation:
To find the set of natural numbers that satisfies the above equation.
Solution:
In order to find the set of solutions for the equation, we will solve it for
We have:
Subtracting both sides by 8.
∴
Thus, we get only one solution for that satisfies the given equation but it is not a natural number. -3 is an integer.
Set of natural numbers {1,2,3,4,5,6........}
Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.