Suppose that we wish to test whether the population mean is greater than 80, where the population standard deviation is known to equal 20. Also, suppose that a random sample of 100 observations randomly selected has a mean equal to 84.

a. Formulate the null and alterative hypotheses.
b. Compute the p-value.
c. Using α =0.01, what is your conclusion?
d. Apply the critical value method when = 0.1.

answer: i literally just answered this question but they want me to do it again

step-by-step explanation:

noncoplanar points are points that do not lie on the same line.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.