Let n = required random sample size.
Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.
Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²
This means that the sample size is about 128 times the population variance.
Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
The numerical coefficient of this term is -3.
Suppose, number of sunshine days in Boston, Massachusetts is: x
Then, number of sunshine days in Colorado Spring, Colorado will be: 1.4 x
Given that, total number of days of sunshine for both city is: 475
That is, x+1.4x = 475
Solving for x,
x=198
1.4x= 277
Therefore,
Number of sunshine days in Boston, Massachusetts is 198
and
Number of sunshine days in Colorado Spring, Colorado is 277
Answer:
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
I just did it off of A.P.E.X
