question archive A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles
Subject:MathPrice:2.87 Bought7
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 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 3,750 bus miles and a sample standard deviation of 275 bus miles. Determine the? p-value and interpret its meaning.
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Answer:
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : 
=3700
Ha : 
3700
Test statistic = t
= (
- 
) /S / 
n
= (3750-3700) / 275 / 100
Test statistic t= 1.82
df=n-1=100-1=99
P(t > 1.82) = 1 - P(t <1.82 ) =1- 0.9641=0.0359*2=0.0718 using t table
p-value=0.0718
