Your engineering position requires frequent travel to the west coast, typically through Chicago. In reviewing historical airline data, you have determined that over the last year flights into Chicago on Southwest have been normally distributed, arriving an average of 73 minutes late with a standard deviation of 10.2 minutes. Yesterday, a travel agent informed you that Southwest recently changed their scheduling into Chicago that may have impacted arrival times. To confirm this claim, you collect the arrival times for a random sample of 48 Southwest flights arriving into Chicago, and find a sample mean of 70.3 minutes and a sample standard deviation of 7.2 minutes. A) Has there been a change in the mean arrival times on Southwest? Report the null and alternate hypothesis, as well as the corresponding P-value. Ho : μ is H₁:μ is ~ μο ~ μο P-value number (rtol=0.01, atol=0.0001) ? B) Determine if there been a decrease in the variability of arrival times on Southwest. Report the P-value.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Your engineering position requires frequent travel to the west
coast, typically through Chicago. In reviewing historical airline
data, you have determined that over the last year flights into
Chicago on Southwest have been normally distributed, arriving
an average of 73 minutes late with a standard deviation of 10.2
minutes. Yesterday, a travel agent informed you that Southwest
recently changed their scheduling into Chicago that may have
impacted arrival times. To confirm this claim, you collect the
arrival times for a random sample of 48 Southwest flights
arriving into Chicago, and find a sample mean of 70.3 minutes
and a sample standard deviation of 7.2 minutes.
A) Has there been a change in the mean arrival times on
Southwest? Report the null and alternate hypothesis, as well as
the corresponding P-value.
Ho : μ is
H₁:μ is
~ μο
Ho
P-value number (rtol=0.01, atol=0.0001)
B) Determine if there been a decrease in the variability of arrival
times on Southwest. Report the P-value.
P-value number (rtol=0.01, atol=0.0001)
C) Estimate your arrival time on your next Southwest flight into
Chicago with 89% confidence (i.e., give an interval).
Lower Bound number (rtol=0.01, atol=0.0001)
Upper Bound
number (rtol=0.01, atol=0.0001)
?
?
Transcribed Image Text:Your engineering position requires frequent travel to the west coast, typically through Chicago. In reviewing historical airline data, you have determined that over the last year flights into Chicago on Southwest have been normally distributed, arriving an average of 73 minutes late with a standard deviation of 10.2 minutes. Yesterday, a travel agent informed you that Southwest recently changed their scheduling into Chicago that may have impacted arrival times. To confirm this claim, you collect the arrival times for a random sample of 48 Southwest flights arriving into Chicago, and find a sample mean of 70.3 minutes and a sample standard deviation of 7.2 minutes. A) Has there been a change in the mean arrival times on Southwest? Report the null and alternate hypothesis, as well as the corresponding P-value. Ho : μ is H₁:μ is ~ μο Ho P-value number (rtol=0.01, atol=0.0001) B) Determine if there been a decrease in the variability of arrival times on Southwest. Report the P-value. P-value number (rtol=0.01, atol=0.0001) C) Estimate your arrival time on your next Southwest flight into Chicago with 89% confidence (i.e., give an interval). Lower Bound number (rtol=0.01, atol=0.0001) Upper Bound number (rtol=0.01, atol=0.0001) ? ?
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