Question

1. You and your friends have decided to test the validity of an advertisement by the local pizza restaurant, which says it delivers to the dormitories faster than a local branch of a national chain. Both the local pizza restaurant and national chain are located across the street from your institute campus. You define the variable of interest as the delivery time, in minutes from the time the pizza is ordered to when it is delivered. You collet the data by ordering 10 pizzas from the local pizza restaurant and 10 pizzas from the national chain at different times. The delivery times of 10 pizzas received from local pizza restaurant and national chain are given below:


Sr. No.
Delivery times

Local Pizza restaurant
National chain
1
2
3
4
5
6
7
8
9
10
16.8
11.7
15.6
16.7
17.5
18.1
14.1
21.8
13.9
20.8
22
15.2
18.7
15.6
20.8
19.5
17.0
19.5
16.5
24.0

Variance =9.58
Variance = 13.49


Requirements:



(a) At 5% level of significance, is there evidence that the mean delivery time for the local pizza restaurant is less than the mean delivery time for the national pizza chain? (4)
(b) Which test statistics is applicable in this case and why?

Answer 1

Answer:

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Answer 2

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