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Problem 183 Hard Difficulty

The Office of Aviation Enforcement and Proceedings, U.S. Department of Transportation, reported the number of mishandled baggage reports filed per 1000 airline passengers during October 2007 . The industry average was 5.36,
a. Define the terms population and variable with regard to this information.
b. Are the numbers reported $(3.26,3.37, \ldots, 9.57)$ data or statistics? Explain.
c. Is the average, $5.36,$ a data value, a statistic, or a parameter value? Explain why.
d. Is the "industry average" the mean of the airline rates of reports per $1000 ?$ If not, explain in detail how the 20 airline values are related to the industry average.

Answer

a. P: U.S. commercial airline industry; $\mathrm{V}: 3$ are involved $-n($ reports $), n$ (passengers), $n$ (reports)/1000
b. data, values of variable
c. statistic, average for one month
d. No

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Video Transcript

okay, This problem is about lost luggage on airlines. And so we're gonna look at some information about some definitions of populations of statistics and variables. Um, so what we know for this we want to know that the population is so you can see what's given in your book. But the population is what it represents overall. So, really, the population in this case is the U. S. Commercial airline industry passengers from the U. S. Commercial airline industry. So that's the population variables is what we're measuring from the passengers better writing in the U. S. Commercial airlines. So it's a smaller subset. So in this case, the variable in this case have their street, even variables. So this the 1st 1 is in, which is the number of report ah reported luggage stolen specifically, and the second variable that's measured is the number of ah and censor number. The number of passengers in the third variable under consideration is the, uh, number of reports per 1000. Meaning how many people lose their luggage out of every 1000 people that right now take flights on the airlines. So there's three variables that case okay for a second part are these numbers? Reported data are statistics. Okay, so these numbers reported and specifically referring to the table. The table talks about, uh, 3.26 and they refer to 3.37 And what that means specifically as those are the number reported lost luggage Stolper those millions of passengers. So because it just measures of the variable. So they're actually just data, okay? Because they're just they're just one of the variable reports. We're not doing any map of them dividing by 1000 but it's still just a variables. Okay, So ah, those were just the data because in the value of the variables aren't see looking at the information we have is a value 5.36 So 5.36 That is a statistic. So if you look at it because we're actually taking all the variables and there's multiple airlines being reported here because it's the average witnessed a calculation with a bunch of different reported data. So it's the average from a bunch of different data from airlines. So it's a statistic party. Looking at a party in the industry average is that is the industry average the mean of the airline rates, Uh, reports per 1000. Is the industry average in the mean of airline rates of reports per 1000 if not explain in detail how the 20 airline values are related to the industry average. Okay, so what this is is the number we have. The values that we have information is what is called a sample statistic, meaning really sampling 12 airlines. And there's more, you know, airlines that fly or more information, and you don't example at racing on thing. So So it's called a sample statistic. So it's not the exact data for the whole entire airline industry. It just represents what that is. Okay, so it's a sample statistic of the airline industry. It's not a population statistics. To get that, we have to measure all of them chances. The industry average so and just to be clear, and that's going on right? No