Answer:

Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =

Chi square critical value for upper tail =

80% confidence interval:

Putting values, we get,

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.
Answer:
third one helps to get the median the best measure from centre.
Answer:
4.5 inches high
Step-by-step explanation:
First, find the height of the tub using the volume 350 and the length 76 and width 60 in the volume formula.
Convert 350 gallons to cubic inches by multiplying 350*231 (since 1 gallon has 231 cubic inches). 350*231 = 80,850.
The volume formula for a rectangular prism is
.
Substitute l = 76, w = 60 and V= 80850.
80850 = 76*60*h
80850 = 4,560*h
17.7 = h
18 = h
The tub is about 18 inches high. If the water is 1/4 of the way full. it will be 1/4 of the height.
18* 1/4 = 4.5
The water is about 4.5 inches high.
In the equation F=kx, F is the force, k is the spring constant, and x is the displacement. Plug in and solve:
F=0.3(1.5)
F=0.45N
Hope this helps!!
You would write it out like this: 12/20. But yeah, it can be simplified by dividing 4 for 12 and 20. So it would be: 3/5. So 3/5 is the simplest form.