Answer:
a.

b-Check illustration below
c.(-0.0517,0.0177
Step-by-step explanation:
a.let
denote processes 1 & 2.
For
: T1=10,n1=200
For
:T2=20,n2=300
Therefore

b. To test for hypothesis:-
i.

ii.For a two sample Proportion test

iii. for
(0.5 alpha IS 0.025),
reject
if
iv. Do not reject
. The noncomforting proportions are not significantly different as calculated below:

z=-0.78
c.
for the p1-p2 is given as:

=(-0.0517,+0.0177)
*CI contains o, which implies that proportions are NOT significantly different.
If these are in mixed fraction then they are in these following fractions:
a. 1 277/1000
b. 3 7/10
c. 2 43/100
d. 1 156/1000
This is just simple, you just have to times the denominator to the whole number and add it to the numerator. You will get the same answer as the given.
The arc length of AB is 8 m (app.)
Explanation:
Given that the radius of the circle is 8 m.
The central angle is 60°
We need to determine the arc length of AB
The arc length of AB can be determined using the formula,

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

Simplifying the terms, we get,

Dividing, we get,

Hence, the arc length is approximately equal to 8.
Therefore, the arc length of AB is 8 m