Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Answer:
1/4
Step-by-step explanation:

Answer:
π
Step-by-step explanation:
The standard form of the sine function is
y = a sin(bx + c)
where a is the amplitude, period =
and
phase shift = - 
here b =
, c = - 
phase shift = - 
=
× 2 = π
Answer:
- 2x + 18
Step-by-step explanation:
Given
4x - 2(3x - 9) ← distribute
= 4x - 6x + 18 ← collect like terms
= - 2x + 18 OR 18 - 2x