asrigordonLv1

15 Oct 2022

a. For the population whose graph is shown above, discuss any restrictions needed to apply the Central Limit Theorem.

◯ Since the population distribution is not normal, to use the C.L.T. you need n 30

◯ You can use the C.L.T. without any restrictions since the Population distribution is Normal

◯ You can use the C.L.T. without any restrictions since the data is from a random sample

◯ Regardless of the population distribution, the C.L.T. always requires n 30

 

The above graph represents a Uniform Distribution with a = 8 and b = 22. In other words, X U (8,22)

We know from Section 5.2 that:

 

  and   

 

Now suppose that repeated samples of size n = 42 are taken from this population. Find to two decimal places:

b. \mu_x: _____

c. \sigma_x: _____