Question

A fast food outlet claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 60 customers has a mean of 3.4 minutes with a standard deviation of 0.6 minute. If α = 0.05, test the fast food outletʹs claim.

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 3.5

H_a : < 3.5

Test statistic = t

= ( - ) / s / n

= (3.4 - 3.5) / 0.6 / 60

= -1.291

Test statistic = -1.291

df = 59

P-value = 0.1009

= 0.05

P-value >

Fail to reject the null hypothesis .

There is sufficient evidence to conclude that the mean waiting time in line is less than 3.5 .