A local pizza restaurant and a local branch of a national ch

A local pizza restaurant and a local branch of a national chain are located across the street from a college campus. The local pizza restaurant advertises that they deliver to the dormitories faster than the national chain. In order to determine whether this advertisement is valid, you and some friends have decided to order 6 pizzas from the local pizza restaurant and 6 pizzas from the national chain, all at different times. The delivery times in minutes are shown below.

Do the data provide sufficient evidence to conclude that the mean delivery time for the local pizza restaurant is less than the mean delivery time for the national pizza chain? Conduct hypothesis test using a??=.05.

in 0 2 7 6 82 258507 211121 1876754 615673

Solution

There are two groups local and chain for delivery of pizza.

We have to calculate whether the mean times are the same.

H0: mu1= mu2

Ha: mu1 < mu2

Left tailed test

mu1 = 15.2

mu2 = 18.25

s1 = 2.074

s2 = 2.523

mu1-mu2 = -3.05

The T-value is 1.661464. The P-Value is 0.065493. The result is not significant at p < 0.05.