Answer:
The student is wrong
a. The central limit theorem says that the histogram of sample means (from many large samples) will look more and more Normal.
e. The histogram of the sample data values will look like the population distribution, whatever it might happen to be.
The sampling distributions of means of large sample size is always normal when approximated. It doesn't matter whether the population is normal or it is not, as long as the population is above 30 (30 is considered large enough), then the sampling distribution of means will be approximately normal.
Also, as a general behaviour of the histogram, the central limit theorem states that irrespective of the shape the population distribution takes, the sampling distribution of the sample means approaches a normal distribution as the sample size will get bigger.
Answer:
a)Both X and Y can be well approximated by normal random variables.
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they are right-handed, or they are left-handed. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability:
Probability of exactly x sucesses on n repeated trials, with probability p.
The binomial probability can be well approximated by normal random variables, using the expected value 
and the standard deviation 
Let X be the number of males (out of the 100) who are left-handed.
and 
. Can be well approximated.
Let Y be the number of females (out of the 80) who are left-handed.
and 
. Can be well approximated.
The correct answer is
a)Both X and Y can be well approximated by normal random variables.
Answer:
800
Step-by-step explanation:
3/4*3.14*(14/2)^3 = 807.77
Answer:
Jessi's work 12a = 6 12a/12 = 6/12 a=1/2
Step-by-step explanation:
The first step is to get a by itself so 6 must be divided by 12 which leads to the answer 1/2.
<span>We have to draw a figure with a perimeter 6 units. If we want to draw a rectangle it can`t be a 3 by 2 because it has a perimeter 2*2 + 2*3 = 4 + 6 = 10 units. It must be a 2 by 1 rectangle ( 2*2 + 2*1 = 4 + 2 = 6 units ).</span>
