a. For the population whose graph is shown above, discuss any restrictions needed to apply the Central Limit Theorem.
āÆ Since the population distribution is not normal, to use the C.L.T. you need n
30
āÆ You can use the C.L.T. without any restrictions since the Population distribution is Normal
āÆ You can use the C.L.T. without any restrictions since the data is from a random sample
āÆ 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: _____