there are a hundred and 50 monkeys 23 bears and 123 snakes living in the forest 20 monkeys were captured by the owners of the zo
2 answers:
You might be interested in
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:
77
Step-by-step explanation:
If you have any questions about the way I solved,don't hesitate to ask
