Answer:
The shape of the distribution of the sample mean would be bell-shaped(normally distributed).
Step-by-step explanation:
The Central Limit Theorem answers this question.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size, of at least 30, can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that
The population distribution is right-skewed.
Sampling distribution of the sample mean with size 40.
The Central Limit Theorem estabilishes that the sampling distribution of the sample mean will be normally distributed, even if the distribution of the population is not.
So the shape of the distribution of the sample mean would be bell-shaped(normally distributed).
Without experience that would help you recognize it right away, I think
you would just need to try numbers until you find it.
Pick a number, multiply it by itself with pencil and paper, and see if it works.
(2)² = 4 too small
(3)² = 9 too small, and not growing fast enough; this could take all day
(10)² = 100 still too small
(15)² = 225 oops, too big; go back down
(12)² = 144 too small
(14)² = 196 too big
(13)² = 169 just right; hope the bears don't come back too soon
Answer:
There are 1,512 books in all.
Step-by-step explanation:
All we need to do is multiply the number of books by the number of shelves.
So:
42 × 36 = 1,512.
Answer:
y=-x+8
Step-by-step explanation:
First distribute the negative
2y=(-x+4)2+8
then you would multiply the (-x+4) by the two
2y=-2x+8+8
then you would combined like terms
2y=-2x+16
then you would divide both sides by 2
y=-x+8