Answer:
Step-by-step explanation:
Given Parameters
Mean,
= 180
total samples, n = 20
Standard dev,
= 30
= 1 - 0.95 = 0.05 at 95% confidence level
Df = n - 1 = 20 - 1 = 19
Critical Value,
, is given by

a).
Confidence Interval,
, is given by the formula



b).
Critical Value,
, is given by

Confidence Interval,
, is given by


= 180 +/- 14.0403
= 165.9597 <
< 194.0403
Answer:
The answer is below
Step-by-step explanation:
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b, length be a and height be c Hence:
b² = a² + c²
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
B) The plywood needs to be 5.83 feet long
C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:
10² = a² + 6²
100 = a² + 36
a² = 64
a = 8 feet
1. Z=-3
4. W=-1/3
5. M=12
6. K=65/3