The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
<h3>What is null hypothesis?</h3>
A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
- A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.
- The alternate hypothesis asserts the existence of a distinction.
- Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.
- If the null hypothesis can be rejected, it lends support to the alternative hypothesis.
- The notion of falsity in science is founded on null hypothesis testing.
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Answer:
f(x) = x^3 -2x^2 -3x +7
Step-by-step explanation:
Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...
f(x) = x^3 -2x^2 -3x +7
_____
You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

Or, you can write equations for the coefficients a, b, c, d of ...
ax^3 +bx^2 +cx +d = f(x)
These would be ...
a + b + c + d = 3
8a +4b +2c +d = 1
27a +9b +3c +d = 7
64a +16b +4c +d = 27
Your friendly linear equation solver will tell you ...
(a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above
Answer:
C. (16y + 7z)
Step-by-step explanation:
9y + 11z + 7y - 4z
1. Simplify the y's: 9y + 7y = 16y
16y + 11z - 4z
2. Simplify the x's: 11z - 4z = 7z
16y + 7z
Answer:
x = 1
Step-by-step explanation:
13x - 12 = 7x -6
6x = 6
x = 1