Answer:
a) 

b) From the central limit theorem we know that the distribution for the sample mean
is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:

And we select a sample size of 64.
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Part a
For this case the mean and standard error for the sample mean would be given by:


Part b
From the central limit theorem we know that the distribution for the sample mean
is given by:
Part c
For this case we want this probability:

And we can use the z score defined as:

And using this we got:
And using a calculator, excel or the normal standard table we have that:
Answer:
hope this helps
Step-by-step explanation:
1 i believe because its the only one that says "more than". The other two say less than.
Answer:
The answer is 19
Step-by-step explanation: 13 scored from 91-100, and 6 scored from 81-90, all you have to do is add them together.
It would take 19.31 full containers to fill the fish tank.
There is 1000 ml in a L making it 5000 ml needed to fill the tank.
Divide the 5000 ml by 259 ml to get your answer.