Answer:
101, 3, 0.025, 0.7416
Step-by-step explanation:
Given that a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12.
As per central limit theorem we have
a) Mean of sample mean =
Std deviation of sample mean =
Mean = 101
Std dev =3.00
b)
c) the probability that the sample mean deviates from the population mean μ = 101 by no more than 4.
=
Answer:
We need at least 217 compact fluorescent light bulbs
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
How many compact fluorescent light bulbs need to be selected?
We need at least n bulbs, in which n is found when
So
We need at least 217 compact fluorescent light bulbs