Question: Customers can replace1 ,2 ,3 ,or4 tires at a time for their vehicle at Tire Town, a nationwide tire shop chain. For customers who have

Customers can replace1

,2

,3

,or4

tires at a time for their vehicle at Tire Town, a nationwide tire shop chain. For customers who have had their tires replaced at Tire Town, the mean number of tires replaced is=

3.71

,with a standard deviation of=

0.84

.Suppose that we will take a random sample of=

n

7

tire replacement orders. (Each order gives the number of tires being replaced.) Letx

represent the sample mean of the7

tire replacement orders. 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

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