Imagine you are the Lead Business Analyst atRandom Motors, an automobile conglomerate that manufactures cars across a large range of price points. Given the scale of your firm, you have different brands for different consumer segments.

For the price-conscious working-class consumers, Random Motors manufactures cars under the brandRocinante.The various models of Rocinante fall in the range of5-10 lakh.The brand is known for cars that arevalue for money and very attractive mileage.

For the consumers willing to purchase a luxury car, Random Motors operates under the brandMarengo.Marengo models fall in the range of30-60 lakh.They are considered sports cars and havehigh horsepower and top speed.

Every time Random Motors launches a new model, it advertises the model's specifications, such as price, mileage, and top speed, because consumers usually take these factors into account before purchasing cars.

Suppose your chief engineer has recently come up with two new models:Rocinante36 and Marengo32.He promises that they will outperform the existing competitors in the market.

Rocinante36is priced at7 lakhand has been designed to deliver a mileage of22 km/litreand a top speed of140 km/hr.

Marengo32is priced at41 lakhand has been designed to deliver a mileage of15 km/litreand a top speed of210 km/hr.

The chief engineer has built 20 prototypes of each of the two models to check if the cars are performing as per the desired specifications. If the cars are performing better than expected, then the engineer wants to revise the specifications. However, if they are performing worse than expected, then it is an indication that more investment is needed in the design to improve their performance.

The test drive results for the 20 prototypes of each of the two models are provided below.During the test, the mileage and the top speed is recorded for each of the prototypes. The data will be used for performing hypothesis testing for the claims made on the specifications.

Rocinante 36 Marengo 32 Car No. Mileage (km/ltr) Top speed (km/hr) Car No. Mileage (km/ltr) Top speed (km/hr) 1 21.2 151.9 1 15.04 211.3 2 21.79 147.6 2 15.41 207 3 21.87 145.6 3 15.43 206.2 4 22.71 136.1 4 15.92 213.4 5 22.52 139.7 5 15.2 204.2 6 21.41 146.1 6 15.22 208.7 7 22.71 139.6 7 14.6 200 8 21.71 143 8 14.41 210.9 9 19.95 136.4 9 14.79 208.5 10 20.65 146.6 10 14.81 214.2 11 22.86 139.9 11 15.61 215.8 12 21.12 136.6 12 15.76 215.8 13 22.8 148.5 13 14.97 215.2 14 20.89 143.4 14 14.71 218.7 15 22.49 134.2 15 15.55 208 16 20.94 140.5 16 15.19 212.2 17 20.37 137.8 17 15.36 219.7 18 22.72 135.1 18 15.93 216.4 19 20.54 138.8 19 14.54 205.8 20 21.14 132 20 14.76 209