You have an srs of size n = 9 from a normal distribution with σ = 1.

you wish to test:

h0: μ = 0
ha: μ > 0

you decide to reject ha if x > 0 and to accept h0 otherwise.

a) find the probability of a type i error.
b) describe a type ii error.

a)

The probability of type I error is 0.5

b)

Type II error is an error committed when we fail to reject the null hypothesis when actually it is false. The probability of Type II error is beta and 1 -beta gives the power of a test.

Step-by-step explanation:

The probability of a Type I error is the probability of rejecting the null hypothesis when it is actually true. In this case;

pr(x>0 / mu =0)

If the mean is 0 and sigma 1 then x has the standard normal distribution. Now, if  x has the standard normal distribution then  pr(x>0) = 0.5 since the standard normal distribution curve is symmetric about the mean which in this case is 0.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

54.864 meters

step-by-step explanation: