STAT 409
Homework #8
Fall 2009
(due Friday, October 23, by 4:00 p.m.)
1.
In a random sample of 100
Hawk & Hummingbird Airline
(
HHA
) direct flights
from New York to Boston, the average number of passengers was 56.3, with
sample standard deviation 11.33.
a)
Construct a 95% confidence interval for the overall average number of passengers
on this route.
b)
To make a reasonable profit,
HHA
must average at least 58 passengers per flight
on this route.
The president of the airline is concerned that the average number of
passengers is less than 58.
Perform the appropriate test at
α
= 0.05.
c)
Suppose the actual overall average number of passengers on this flight is 57.
Then in part (b) a ( Type I Error, Type II Error, correct decision ) was made.
d)
Find the pvalue of the test in part (b).
e)
Using the Pvalue obtained in part (d), state your decision
( Accept
H
0
or
Reject
H
0
)
for
α
= 0.10.
f)
Describe in the context of the problem what happens if Type I Error occurs.
g)
Describe in the context of the problem what happens if Type II Error occurs.
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 Spring '11
 Stepanov
 Standard Deviation, carryon luggage, Hummingbird Airline, mean flight time

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