Answer:
(a) P-value = 0.074, α = 0.05 do not reject H0
(b) P-value = 0.006, α = 0.001 do not reject H0
(c) P-value = 0.494, α = 0.05 do not reject H0
(d) P-value = 0.074, α = 0.10 reject H0
(e) P-value = 0.028, α = 0.01 do not reject H0
(f) P-value = 0.296, α = 0.10 do not reject H0
Step-by-step explanation:
The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not.
In order to reject the null hypothesis, the p-value should be lower than the significance level (α).
Answer:
x=-2
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.
We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:
To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.
Upon combining like terms we will get,
Therefore, the total distance traveled in terms of x will be .
Answer:
b = 18
Step-by-step explanation:
1st step is isolating b by moving 2 to the other side. When you move a number the the other side it flips (from + to - or × to ÷). The 2 in this question is being multiplied my b (no sign means multiply) so when you move it to the other side it becomes 36/2 or 18
Steps:
2b=36
b=36/2
b=18
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
