Answer:
Margin of Error decreases
Pvalue decreases
Power increases
Step-by-step explanation:
The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.
The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.
When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.
The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.
Answer:
1) 10.55%
2) 30.77%
Step-by-step explanation:
52/52•39/51•26/50•13/49 = 0.105498... ≈ 10.55%
100% chance you draw a unique card on the first draw
51 cards left of which 13(3) = 39 are unique suit for your second draw
50 cards left of which 13(2) = 26 are unique suit for your third draw
49 cards left of which 13(1) = 13 are unique suit for your forth draw.
Two balls are already green
Leaves 4 red balls in a field of 13 balls
4/13 = 0.307692... ≈ 30.77%
We have the expression:
When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.
That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.
If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).
Expression:
Answer: There is no restriction for x in the expression.
Answer:
9 units²
Step-by-step explanation:
This is a trapezium.
The length of the two parallel lines (on top and bottom) are 5 units and 1 units.
The height of the trapezium is 3 units. Using these information, we can apply the formula for area of trapezium to find the answer.
Area = 1/2 (5 + 1) x 3 = 9 units²
The standard form: Ax + By = C
y = 90 - 15x <em>add 15x to both sides</em>
<h3>15x + y = 90</h3>
