Question

Consider a normal distribution with a given mean Hand a given standard deviation 0.i) If the mean stays the same but the standard deviation is increased how will this affect the shape of thedistributionii) If the mean stays the same but the standard deviation is decreased how will this affect the shape of thedistribution.

Answer 1

We will have the following:

I) If the standard deviation increases then the distribution will be wider [For the graph].

II) If the standard deviation decreses then the distribution will be thinner [For the graph].