Answer:
a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)
b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2
c. The power of the test = 1 -
β = 0.998736
d. The sample size is adequate because the power of the test is approximately 1
Step-by-step explanation:
Given
Standard Deviations; σ1 = σ2 = 1.0 psi
Size: n1 = 10; n2 = 12
X = 162.5; Y = 155.0
Let X1, X2....Xn be a random sample from Population 1
Let Y1, Y2....Yn be a random sample from Population 2
We assume that both population are normal and the two are independent.
Therefore, the test statistic
Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)
See attachment for explanation
Answer:
Option 4: 0.554
Step-by-step explanation:
As we can see that the intervals and their frequencies are given.
We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.
So, combined scores of both intervals are:
172+105 = 277
Now to find the probability
= 277/500
=0.554
So option no 4 is the correct answer ..
Answer:
V = 381 in³
Step-by-step explanation:
The figure is composed of a rectangular prism and a triangular prism.
The volume (V) of the complete figure is
V = volume of rectangular prism + volume of triangular prism
= (16 × 7 × 3 ) + ( 
× 3 × 5 × 6 )
= 336 + 45
= 381 in³
Answer:
4x
Step-by-step explanation:
So what you wanna do is look everywhere a point is on a line perfectly. Then see how much it takes per point that's on a line perfectly
The inequality x < 9.7 tells us x needs to smaller than 9.7.
A number like 5 will be fine. Because 5 < 9.
But someone like 10 won't be fine.
Because 9 < 10.
Even 9.7 won't be suffice.
Because 9.7 < 9.7 does not make sense. If it was 9.7 <= 9.7 then it would be fine.
