Question

1. Pizza companies are competitive in the amount of time it takes to deliver the pizza. Is there a significant difference in the average time it takes to deliver a pizza between Pizza Hut and Dominos? The following data was collected from a sample of deliveries of both companies; test the hypothesis at a 0.01 level of significance with 10 degrees of freedom(assume unequal variances). Pizza Hut: sample mean = 18.68, sample standard deviation = 1.64, sample size = 5 Dominos: sample mean = 20.23, sample standard deviation = 2.74, sample size = 7. Choose the most appropriate alternative hypothesis.

   		Pizza Hut and Dominos, on average, take the same amount of time to deliver pizzas.
   		The proportion of pizzas produced by Pizza Hut and Dominos are the same.
   		There is a difference in the average amount of time it takes to deliver pizzas between Pizza Hut and Dominos.
   		Pizza Hut, on average, delivers a pizza in less time than Dominos.

Answer 1

Option C

There is a difference in the average amount of time it takes to deliver pizzas between Pizza hut and Dominos

H0: mu1 = mu2

Ha: mu1 not equals mu2

mu1 is average time taken to deliver Pizzas by pizza hut and mu2 is the time taken by Dominos