Answer:
C. Type I error
Step-by-step explanation:
Hello!
The hypothesis tested was:
H₀: μ = 7
H₁: μ > 7
The decision was taken: Reject the null hypothesis.
Reminder:
There are four decisions you can take when you make a hypothesis test.
1. Reject the null hypothesis when the hypothesis is false (This is a correct decision)
2. Reject the null hypothesis when the hypothesis is true (This decision is also known as Type I error)
3. Fail to reject the null hypothesis when the hypothesis is true (This is a correct decision)
4. Fail to reject the null hypothesis when the hypothesis is false (This decision is also known as Type II error)
Since they concluded, that the average process time vas greater than 7 days, when it was 7 days, they rejected the null hypothesis when it was true. This is a Type I error and its associated probability is α.
I hope it helps!
Answer:
C
Step-by-step explanation:
The range is the values of y that extend from the vertex downwards
The vertex = (- 2, - 1) → y = - 1
range is (- ∞, - 1 ]
Step-by-step explanation:
5(x+6x-3x)
(5+30-15)x
if you open the brackets, it will be 5x+30x-15x
Answer:
115x-12x
Step-by-step explanation:
3(9-X) x 4+7
12(9-X)+7
108-12x +7
115-12x
The Cartesian product of two sets can be defined as the following: the set of all possible pairs where the 1st coordinate is an element of the 1st set and the 2nd coordinate is the element of the 2nd set. This has an obvious generalization for n sets (the cartesian product has then n coordinates).
Let us pick now all the pairs that have 100 as their first coordinate. We then have 2 choices for the 2nd coordinate, 1 and 2. Hence, the 2 pairs are: (100,1), (100,2). Similarly, if 200 is the first coordinate, the pairs are (200,1), (200,2).
These 4 pairs are the cartesian product (we have 4 pairs =2 elements from X* 2 elements from Y) .
It helps to remember that the cartesian product has as many elements as the product of the number of elements of each set.
