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Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers are asked to rate the quality of

Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers are asked to rate the quality of the food as a1

,2

,3

,4

,or5

,where a rating of1

means "not good" and5

means "excellent". The customers' ratings have a population mean of=

4.43

,with a standard deviation of=

1.71

.Suppose that we will take a random sample of=

n

7

customers' ratings. Letx

represent the sample mean of the7

customers' ratings. 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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