Answer:
P = 0.018
Step-by-step explanation:
In this problem, the null and alterantive hypothesis are:
If the sample has a size of n = 40, the degrees of freedom are 40-1 = 39.
If the value of the test statistic is t = 2.463, we can look up in a t-table to find the p-value. In this test, because the mean can be bigger than 73 or smaller than 73, we have to do a two-tailed test.
For a two-tailed test for t = 2.463 and df = 39, the P-value is P = 0.018.
(1) Answer :
Step 1:
Step 2:
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
The coefficient of x is -6. = (-3)^2 = 9
The coefficient of y is -4. = (-2)^2 = 4
Step :
(2)
To find center and radius we write the equation in the form of
using completing the square form
Where (h,k) is the center and 'r' is the radius
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
Here h= -3 and k=3 and so r= 4
Center is (-3,3) and radius = 4
(c) Step 1:
Step 2:
Step 3:
Step 4:
We factor out each quadratic
(x^2 + 8x + 16) = (x+4)(x+4) =
((y^2 - 6y + 9)) = (x-3)(x-3) =
Step 5 :
