Astudent believes that the average grade on the statistics final examination is 87. a sample of 36 final examinations is taken. the average grade in the sample is 83.96 with a sample standard deviation of 12. carry out the hypothesis testing that the real mean is less than 87. use a 0.05 level of significance.

answer: 59

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

17

step-by-step explanation:

51/3=17

thus 17 is your answer.