You want to test whether or not the following sample of 30 observations follows a normal distribution. the mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 the hypothesis is to be tested at the 5% level of significance. if the expected frequencies for the classes are equal to 5, what is the critical value of the test statistic? select one: a. 1.645 b. 1.96 c. 7.815 d. 12.592

D

Step-by-step explanation:

Degree of freedom, df is  given by the following

df = (number of rows-1) * (number of columns-1)

Given:

number of rows = 6

number of columns = 3

Hence, df = (6-1) * (3-1) = 10

We will choose the option where the value is greater than or equal to 10,

Hence, Option D is correct.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

where is the gragh

step-by-step explanation: