2-T Sample Test on Delivery Time of Pizza by Car and by Bicycle
Introduction
A pizza store in downtown uses bicycles and cars to deliver its pizza to the market. The store is interested in determining the more convenient means of transport so as to do away with the other. As such, consumer satisfaction will increase due to timely delivery, leading to increased profits. The study recorded 15 deliveries made by both the bicycle and the car. The null hypothesis tested by the study is: H0: there is no difference in the average delivery times between cars and bicycles. The average time of delivery indicated that cars deliver the pizza faster to the market, taking an average of 7.93 minutes as compared to bicycles that take 16.31 minutes.
The data was collected using secondary sources because they offer accurate data and the data is quickly accessible. The time of delivery was recorded in minutes for the purpose of convenience. On average, the time taken for the bicycle to make a delivery is more than the time taken for a car to make a delivery. The following bar-chart gives a summary of the average delivery times for the bicycle and the car. The y-axis shows the average time taken by both the car and the bicycle and the x-axis shows the respective means of delivery.
In every delivery, the car was faster than the bicycle. As such, all the delivery incidences indicate that the car is most convenient means of delivering the pizza to the market. The data also indicates that the bicycles caused most critical delays. For instance, in the second delivery, the bicycle took 40 minutes to deliver the pizza. On the other hand, the slowest delivery by the car was 25.71 minutes. The following table summarizes the data collected on the time of delivery.
| Cars | Bicycles | |
| Delivery 1 | 5 | 10 |
| Delivery 2 | 5.38 | 18.2 |
| Delivery 3 | 25.71 | 40.34 |
| Delivery 4 | 3.67 | 7.54 |
| Delivery 5 | 9.6 | 20 |
| Delivery 6 | 3.16 | 6.43 |
| Delivery 7 | 6.54 | 8.57 |
| Delivery 8 | 5.66 | 14.54 |
| Delivery 9 | 0.9 | 21.34 |
| Delivery 10 | 8.85 | 16.23 |
| Delivery 11 | 3.6 | 24.24 |
| Delivery 12 | 4.9 | 7.43 |
| Delivery 13 | 11.25 | 9.65 |
| Delivery 14 | 8.28 | 9.45 |
| Delivery 15 | 18.46 | 23.45 |
| Delivery 16 | 8 | 20 |
| Delivery 17 | 13 | 24.34 |
| Delivery 18 | 15.54 | 25 |
| Delivery 19 | 6 | 19.45 |
| Delivery 20 | 12 | 23 |
| Delivery 21 | 9.45 | 15 |
| Delivery 22 | 6 | 25.78 |
| Delivery 23 | 6 | 15 |
| Delivery 24 | 15.98 | 23 |
| Delivery 25 | 7 | 16.45 |
| Delivery 26 | 12 | 19 |
| Delivery 27 | 5.34 | 25 |
| Delivery 28 | 6 | 21 |
| Delivery 29 | 14.23 | 18 |
| Delivery 30 | 10 | 15 |
| Average | 8.916667 | 18.081 |
2-t Sample Test
This study will use a 2-t sample test to test the difference in ratios between the delivery time of pizza by cars and bicycles. 2-t sample test compares the ratio of the delivery time of pizza by car and by bicycle, showing the difference between the ratios of the two samples. Moreover, the test will deliver more reliable results, leading to accurate conclusions from the data (Ramachandran & Tsokos, 2009). 2-t sample test, also, gives a test statistic, means, sample sizes, and the p-value in on run. As such, the test is faster and more elaborate in determining if the ratios of two samples are related or not.