The probability of concluding that assignable variation exists when only random variation is present is: I. the probability of a type I error.
II. known as the alpha risk
III. highly unlikely.
IV. the sum of probabilities in the two tails of the normal distribution

a. I and II
b. I and IV
c. II and III
d. I, II, and IV
e. I, III, and IV

d. I, II, and IV

Step-by-step explanation:

The probability of a type I error: A type I error comes to play when one turns down the null hypothesis when it is true.

known as the alpha risk: this is also referred to as type I error, it is the risk in a statistical test which shows that a null hypothesis will be rejected even though it is actually true.

The sum of probabilities in the two tails of the normal distribution.

Hence, I, II, and IV are the options

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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