Distribution of the sample data

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Reference no: EM133081311

The local city council wants to determine whether the pricing of their main car park is appropriate. Over a three months period, 20 days were randomly selected with the number of cars counted in the car park. The results of this sample are below:

Day 1

750

Day 11

462

Day 2

745

Day 12

710

Day 3

489

Day 13

732

Day 4

322

Day 14

714

Day 5

704

Day 15

769

Day 6

680

Day 16

798

Day 7

695

Day 17

576

Day 8

760

Day 18

499

Day 9

775

Day 19

702

Day 10

507

Day 20

698

a1 Summarise the sample data shown above by finding the mean, median and standard deviation.

a2 Is the distribution of the sample data symmetrical or skewed? Explain your answer.

 = 5%. Be careful to state your conclusion.aa3 The general manager claims that the average occupancy rate of the car park for the ENTIRE YEAR is greater than 85%. The maximum occupancy of the car park is 800 cars. Test this claim, using a significance of

b Determine the 95% confidence interval for the proportion of ALL days where the occupancy rate was greater than 85%.

c Further investigation of the sampling process revealed that the council worker sent to count cars was only walking up to the fourth floor of the car park on the weekend. Consequently, three levels were not counted. Identify the type(s) of bias that may have occurred and explain whether the validity of our conclusions in either (c) or (d) above have been impacted.

Reference no: EM133081311

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