IM 7.8.18 Practice: Comparing Populations Using Samples

Lin wants to know if students in elementary school generally spend more time playing outdoors than students in middle school. She selects a random sample of size 20 from each population of students and asks them how many hours they played outdoors last week. Suppose that the MAD for each of her samples is about 3 hours.[br][br]Select [b]all [/b]pairs of sample means for which Lin could conclude there is a meaningful difference between the two populations.
These two box plots show the distances of a standing jump, in inches, for a random sample of 10-year-olds and a random sample of 15-year-olds.[br][br][img]data:image/png;base64,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[/img][br][br]Is there a meaningful difference in median distance for the two populations? Explain how you know.
[size=150][size=100]The median income for a sample of people from Chicago is about $60,000 and the median income for a sample of people from Kansas City is about $46,000, but researchers have determined there is not a meaningful difference in the medians. Explain why the researchers might be correct.[/size][/size]
[size=150]A farmer grows 5,000 pumpkins each year. The pumpkins are priced according to their weight, so the farmer would like to estimate the mean weight of the pumpkins he grew this year. He randomly selects 8 pumpkins and weighs them. Here are the weights (in pounds) of these pumpkins:[br][br][table][tr][td]2.9[/td][td]6.8[/td][td]7.3[/td][td]7.7[/td][td]8.9[/td][td]10.6[/td][td]12.3[/td][td]15.3[/td][/tr][/table][br][/size]Estimate the mean weight of the pumpkins the farmer grew.
This dot plot shows the mean weight of 100 samples of eight pumpkins, similar to the one above.[br][br][img]data:image/png;base64,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[/img][br][br]What appears to be the mean weight of the 5,000 pumpkins?
What does the dot plot of the sample means suggest about how accurate an estimate based on a single sample of 8 pumpkins might be?
What do you think the farmer might do to get a more accurate estimate of the population mean?
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Informação: IM 7.8.18 Practice: Comparing Populations Using Samples