PROBLEM B: Use the following to answer questions i - iii: A small, independent amusement park collects data on the numbe

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PROBLEM B: Use the following to answer questions i -iii: A small, independent amusement park collects data on thenumber of cars with out-of-state license plates. The sample size isfixed at n=25 each day. Data from the previous 10 days indicate thefollowing number of out-of-state license plates:
Out-of-state
Day Plates
1 6
2 5
3 6
4 7
5 8
6 4
7 4
8 6
9 5
10 5
i. Calculate the overall proportion of "tourists" (carswith out-of-state plates) and the standard deviation ofproportions.
a. p-bar = 0.224; the standard deviation of proportions= 0.0834
b. p-bar = 0.244; the standard deviation of proportions= 0.0834
c. p-bar = 0.224; the standard deviation of proportions= 0.006953
d. p-bar = 0.244; the standard deviation of proportions= 0.007378
ii. Using 3 limits, calculate the LCL and UCL forthese data.
a. UCL = .4942; LCL = 0
b. UCL = .4742; LCL = 0
c. UCL = .231; LCL = 0.219
d. UCL = .245; LCL = 0.203
e. UCL = .266; LCL = 0.222
iii. Is the process under control?
a. Days 4 and 5 are above the UCL. The process is not incontrol.
b. Day 10 is below the LCL. The process is not incontrol.
c. All the points are within the control limits. Theprocess is in control.
d. Day 5 is above the UCL. The process is not incontrol.