Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Answer:
y = 4x - 7
Step-by-step explanation:
Given the following data;
Points (x, y) = (4, 9)
Slope, m = 4
To write the equation in point-slope form;
The equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
First of all, we would find the intercept c;
9 = 4*4 + c
9 = 16 + c
c = 9 - 16
c = -7
Next, we write the equation in point-slope form;
m = 4 and c = -7
y = 4x - 7
X=12 is the answer, i have done this question before, hope i helped.
Find and compare the unit rates of decline:
Run "a":
-60 yds
------------- = -0.171 yds per yd
350 yds
Run b
115 yds
------------- = -0.290 yds per yd
550 yds
Slope (b) is the steeper.
In y = mx + b form, the y intercept can be found in the b position
y = mx + b
y = 3x + (-4)
so ur y intercept is -4