During a wisdom teeth removal procedure,1

,2

,3

,or4

wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is=

3.83

,with a standard deviation of=

1.37

.Suppose that we will take a random sample of6

wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Letx

represent the sample mean of the6

procedures. Consider the sampling distribution of the sample meanx

.

Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.

(a)Find

x

(the mean of the sampling distribution of the sample mean).

=

x

(b)Find

x

(the standard deviation of the sampling distribution of the sample mean).

=

x