Question

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined the home delivery will be successful if the mean time spent on the deliveries does not exceed 30 minutes. The owner has randomly selected 45 customers and has delivered pizzas to their homes. Sample mean was found to be 31.4 minutes with a standard deviation of 4.5 minutes. Is there a strong evidence that on average it takes more than 30 minutes for home delivery?

Answer 1

Explanation:

Given that the owner of the local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas.

Sample size = n =45: Sample mean= x bar = 31.4 and s = 4.5

Std error of sample =
`(s)/(√(n) ) =0.671`

`H_0: x bar = 30\\H_a: x bar >30`

(One tailed test at 5% )

Mean difference = 1.4

Test statistic = Mean diff/se = 2.087

(t test only can be used as population std dev not known)

p value = 0.0218

Since p <0.05 our alpha, we reject null hypothesis.

There is a strong evidence that on average it takes more than 30 minutes for home delivery