The airline industry defines? no-shows as passengers who have purchased a ticket
ID: 3377890 • Letter: T
Question
The airline industry defines? no-shows as passengers who have purchased a ticket but fail to arrive at the gate on time for departure. An airline operates many flights from City A to City B and experienced the accompanying? no-show probability distribution last year. The accompanying data shows the number of? no-shows that occurred on a random sample of 120 flights between these two cities this year. The airline would like to know if the probability distribution of? no-shows has changed between last year and this year on flights between these two cities using
alpha?equals=0.05.
What is the critical value for this hypothesis? test? Round to three decimal places.
?No-Show Distribution from Previous Year
?No-shows
0
1
2
3
4
5
6
Probability
?6%
?12%
?22%
?28%
?17%
?11%
?4%
?No-Show Sample from This Year
?No-shows
0
1
2
3
4
5
6
Frequency
3
13
37
31
22
4
10
?No-shows
0
1
2
3
4
5
6
Probability
?6%
?12%
?22%
?28%
?17%
?11%
?4%
Explanation / Answer
Ans:
Test statistic:
Chi square score=19.214
df=7-1=6
Critical chi square score=CHIINV(0.05,6)=12.592
As,test statistic is greater than 12.592,we reject the null hypothesis and we can conclude that the probability distribution of no-shows has changed.
No shows Observed(fo) pi Expected(fe) (fo-fe)^2/fe 0 3 0.06 7.2 2.450 1 13 0.12 14.4 0.136 2 37 0.22 26.4 4.256 3 31 0.28 33.6 0.201 4 22 0.17 20.4 0.125 5 4 0.11 13.2 6.412 6 10 0.04 4.8 5.633 Total= 120 1 120 19.214Related Questions
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