Only answer the last question.

1.What is the sample mean and sample standard deviation of this data set?

Sample Mean:

(3+8+25+47+61+25+10+32+31+20+10+15+7+62+48+51+17+30)/18=27.89

Sample Standard Deviation:

6049.74/918-10= 355.87

2. Should we be using the Z or T distribution? Explain why

It is better to use the T distribution because the sample size is less then 30 and before the SD was unknown.

3.Find the Critical Z or T value for this problem.

Critical T value is 1.740

4.Compute the Margin of Error, E

EBM=35 +/- 145.95

5. Write out the confidence interval

90% CI= (110.95,180.95)

6. The ER claims its average wait time on Friday nights will be less than 35 minutes. Based on our confidence interval, does this seem like a valid claim?

No, it is estimated to be anywhere form 110 minutes to 181 minutes.

7. Do not do the work just comment. What is your comment for this work?