Question

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,850 bus miles and a sample standard deviation of 275 bus miles.

Determine the​ p-value and interpret its meaning.

Answer 1

Solution :

= 3,800

=3,850

s = 275

n = 100

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :    = 3,800

H_a :     3,800

Test statistic = t

= ( - ) / / n

= (3,850-3,800) / 275 / 100

= 0

Test statistic = t =  0

P-value = 1