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!
a. The general equation for a circle centered at
with radius
is

The described circle has equation

We know the circle passes through the origin. This means that the equation above holds for
and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:

So the circle's equation is

b. If the distance between point B and the center is less than
, then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is

, so
, which means B falls outside the circle.
The answer is b the second one is the correct answer
Answer:
5
Step-by-step explanation: