Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)
m = =
=
Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus
y = x + 3 ← equation of line
Answer:
a)
b)Step-by-step explanation:
Previous concepts
The Chi Square distribution is the distribution of the sum of squared standard normal deviates .
For this case we assume that the sample variance is given by and we select a random sample of size n from a normal population with a population variance
. And we define the following statistic:
And the distribution for this statistic is
For this case we know that n =25 and so then our statistic would be given by:
With 25-1 =24 degrees of freedom.
Solution to the problem
Part a
For this case we want this probability:
And we can multiply the inequality by 4 on both sides and we got:
And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"
Part b
For this case we want this probability:
If we multiply the inequality by 4 on all the terms we got:
And we can find this probability like this:
And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"