# QTM

July 1, 2018 | Author: Anonymous QfEAvK | Category: Mean, Confidence Interval, Median, Skewness, Variance

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QTM ASSIGNMENT-2

CENTRAL PARKING SERVICES CASE ANALYSIS

SUBMITTED BY  NAME -Akash Malik ROLL NUMBER-170102018

Q1. Explore the data for weekday and weekend. What inference can you make based on descriptive statistics?

I.

Direct comparison of weekday and weekend data

Weekday Mean 95% Confidence Interval for Mean

5% Trimmed Mean Median Variance Std. Deviation Minimum Maximum Range Interquartile Range Skewness Kurtosis Weekend Mean 95% Confidence Interval for Mean

5% Trimmed Mean Median Variance Std. Deviation Minimum Maximum Range Interquartile Range Skewness Kurtosis

Statistic 135.9832 Lower Bound Upper Bound

133.6562 138.3102 129.7681 122.0000 7037.528 83.88998 2.00 722.00 720.00 103.00 1.539 4.908 153.7624

Lower Bound Upper Bound

Std. Error 1.18698

.035 .069 1.24129

151.3289 156.1958 147.6510 141.0000 7696.301 87.72856 1.00 713.00 712.00 109.00 1.350 3.802

.035 .069

As evident from the descriptive statistics stati stics in the table, CPS parking lots experience higher lengths of stay during the weekends as compared to the weekdays.

II.

Pass holder data.

Passholder

Std. Statistic Error 32.8143 298.7600 4

Mean 95% Confidence Interval for Mean

Lower Bound Upper Bound

232.8171 364.7029

5% Trimmed Mean

293.3111

Median

258.5000

Variance

53839.04 3 232.0324 2

Std. Deviation Minimum

1.00

Maximum

712.00

Range

711.00

Interquartile Range

439.25

Skewness Kurtosis

.181

.337

-1.577

.662

The above table represents the data for the time difference of the pass holders during weekends It is clearly clearl y evident that the time difference of the pass holder is much higher than the customers that buy the tickets. Mean time difference for pass holders: 298.76 Mean time difference for ticket buyers: 153.76

III.

Non Passholder data.

`NoPa Mean ss 95% Confidence Interval for Mean

Lower Bound Upper Bound

5% Trimmed Mean Median Variance Std. Deviation

Statistic 140.702 7 138.789 0 142.616 3 139.446 3 136.000 0 4428.71 2 66.5485 7

Minimum

1.00

Maximum

300.00

Range

299.00

Interquartile Range

101.00

Skewness Kurtosis

Std. Error .97613

.248

.036

-.697

.072

The above table shows the data of people entering the parking lots without a pass on the weekend. The mean of this data is very close to the mean of the weekday data. Hence, we can infer that the pass holders are largely responsible for pushing the mean time difference of the weekend data higher.

Mean time difference for non-pass holders: 140.7 minutes Mean time difference for ticket buyers on weekdays: 135.98 minutes.

Q2. Test whether the random variable "Time Difference", for weekday and weekend follows normal distribution.

The figures show that the weekday and weekend distribution data is not normally distributed and both of them are right skewed.

Q3. CPS charges for weekends are more than weekdays. One of the reasons for higher parking fee during weekends is that the customers tend to stay for longer duration resulting in non-availability of parking lots. Is there an evidence to support that the customers stay for longer period during weekends compared to weekdays? Answer: One-Sample Test Test Value = 145

TD_Weekday

t -7.602

df 4999

Sig. (2tailed) .000

95% Confidence Interval of the Difference Mean Difference Lower Upper -9.018 -11.34 -6.69

Sample mean for weekday: 135.9 Sample mean for weekend: 153.7 The above SPSS output shows the output of the one sample t test of for the weekday data against the test value of 145. We can see that the significance level is 0. Since sample mean is less than the value of 145, this along with the significance of 0 are evident enough that the weekday parking time difference is lesser than 145, hence lesser than the weekend mean of 153.

Q4. If we divide the day into three time periods viz. 10 am - 2 pm as Morning, 2 pm - 6 pm as Afternoon and 6 pm - 10 pm as Evening, then determine if the average length of stay really varies between these three time periods. Answer:

i.

Weekdays Time group

Group

Group 2

10:00:00 to 14:00:00 14:00:00 to 18:00:00

Group 3

18:00:00 onwards

Group 1

Time difference mean 147 minutes 135 minutes 128 minutes

As can be seen from the data above, the vehicles coming in the morning tend to park their vehicles for longer periods. And this average duration reduces through the day.

ii.

Weekend Time group

Group

Group 2

10:00:00 to 14:00:00 14:00:00 to 18:00:00

Group 3

18:00:00 onwards

Group 1

Time difference mean 147 minutes 141 minutes 135 minutes

The mean time for the vehicles staying in the parking spot between the 10AM to 2PM time period is the same for weekdays and weekends.