Question

- 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. Find the
corresponding critical value(s) at a 0.01 level of significance.
±2.575 ±2.33 ±2.764 ±3.169

Answer #1

Solution :

df = 9.8~10

= 0.01

/ 2 = 0.01 / 2 = 0.005

t _{0.005,10} =
**3.169**

**Critical value =**
**3.169**

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