Assume that the heights of adult puffins are normally distributed, with a mean of

=

=

12.8 inches and a standard deviation of

=

=

2.5 inches.For a random sample of 64 puffins, answer the following:

What is the mean of the distribution of

x

x

?

What is the standard deviation of the distribution of

x

x

?

What is the probability of obtaining a sample mean height less than 11.4 inches?

What is the probability of obtaining a sample mean height greater than 13.5 inches?