Answer:
Step-by-step explanation:
The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here
x method y
-3 (-3)^2 + 2(-3) + 3 = 6
-2 (-2)^2 + 2(-2) + 3 = 3
-1 (-1)^2 + 2(-1) + 3 = 2
0 3
1 (1)^2 + 2(1) + 3 6
2 (2^2) + 2(2) + 3 11
3 (3)^2 +2(3) + 3 18
See the graph below.
You can pick it out from the graphs you were given.
Answer:
The sampling distribution of X, for a sample of size 16, will be approximately normal with mean 2 mm and standard deviation 0.01 mm.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For the population:
Mean 2 mm, standard deviation 0.04 mm
Describe the sampling distribution of X (for a sample of size 16).
Sample of size 16 means that
By the Central Limit Theorem, approximately normal with mean 2 and standard deviation