During the month of January 2017, a total of 29,451 flights took off from a particular airport. Of all these flights, 24.0% had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d.

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During the month of January 2017, a total of 29,451 flights took off from a particular airport. Of all these flights, 24.0% had a departure delay of more than 10 minutes. Suppose we randomly sample
just 100 of these flights. Complete parts a through d.
Transcribed Image Text:During the month of January 2017, a total of 29,451 flights took off from a particular airport. Of all these flights, 24.0% had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d.
a. What sample proportion should we expect to see in such a sample, and how much Should we expect the proportion to vary from sample to sample in samples of size
100?
The mean is
(Round to three decimal places as needed.)
le standard deviation of the sampling distribution is
(Round to three decimal places as neec.d.)
b. What is the approximate shape of the sampling distribu.on of the sample proportion of flights delayed by more than 10 minutes in samples of size 100? Why?
at least 15, the sampling distribution
c. Would it be unusual for us to observe a sample proportion of 40% or higher of delayed flights? Why or why not?
▼be unusual because the z-score of such a sample is
Since
It
(Round to two decimal places as needed.)
d. Of the flights scheduled to leave the airport in January 2017, 2% got canceled. If we were to randomly sample just 100 of all flights scheduled to leave the airport,
would the sampling distribution of the sample proportion of canceled flights have an approximate normal shape? Why or why not?
at least 15, the sampling distribution
be approximately normal.
Since
Transcribed Image Text:a. What sample proportion should we expect to see in such a sample, and how much Should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.) le standard deviation of the sampling distribution is (Round to three decimal places as neec.d.) b. What is the approximate shape of the sampling distribu.on of the sample proportion of flights delayed by more than 10 minutes in samples of size 100? Why? at least 15, the sampling distribution c. Would it be unusual for us to observe a sample proportion of 40% or higher of delayed flights? Why or why not? ▼be unusual because the z-score of such a sample is Since It (Round to two decimal places as needed.) d. Of the flights scheduled to leave the airport in January 2017, 2% got canceled. If we were to randomly sample just 100 of all flights scheduled to leave the airport, would the sampling distribution of the sample proportion of canceled flights have an approximate normal shape? Why or why not? at least 15, the sampling distribution be approximately normal. Since
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