2. A small, independent amusement park collects data on the number of cars with out-of-state license plates. The sample size is fixed at n=25 each day. Data from the previous 10 days indicate the following number of out-of-state license plates: [10 points]

Day	Out-of-state Plates
1	6
2	4
3	8
4	9
5	8
6	3
7	7
8	6
9	9
10	10

(a) Calculate the overall proportion of "tourists" (cars with out-of-state plates) and the

standard deviation of proportions.

(b) Using a 99.73% confidence, calculate the LCL and UCL for these data.

(c) Draw the control chart?

(d) Is the process under control? Explain why.

(e) What type of variation is present?

please show all calculations