IM 7.8.18 Lesson: Comparing Populations Using Samples
Without calculating, tell whether the pair of data sets have the same mean and whether they have the same mean absolute deviation.
[table][tr][td]set A[/td][td]1[/td][td]3[/td][td]3[/td][td]5[/td][td]6[/td][td]8[/td][td]10[/td][td]14[/td][/tr][tr][td]set B[/td][td]21[/td][td]23[/td][td]23[/td][td]25[/td][td]26[/td][td]28[/td][td]30[/td][td]34[/td][/tr][/table]
[table][tr][td]set X[/td][td]1[/td][td]2[/td][td]3[/td][td]4[/td][td]5[/td][td][/td][/tr][tr][td]set Y[/td][td]1[/td][td]2[/td][td]3[/td][td]4[/td][td]5[/td][td]6[/td][/tr][/table]
[table][tr][td]set P[/td][td]47[/td][td]53[/td][td]58[/td][td]62[/td][/tr][tr][td]set Q[/td][td]37[/td][td]43[/td][td]68[/td][td]72[/td][/tr][/table]
[size=150]Consider the question: Do tenth-grade students' backpacks generally weigh more than seventh-grade students' backpacks?[br][br]Here are dot plots showing the weights of backpacks for a random sample of students from these two grades:[/size][br][br][img]data:image/png;base64,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[/img][br][br]Did any seventh-grade backpacks in this sample weigh more than a tenth-grade backpack?
The mean weight of this sample of seventh-grade backpacks is 6.3 pounds. Do you think the mean weight of backpacks for [i]all[/i] seventh-grade students is exactly 6.3 pounds?
The mean weight of this sample of tenth-grade backpacks is 14.8 pounds. Do you think there is a meaningful difference between the weight of all seventh-grade and tenth-grade students' backpacks? Explain or show your reasoning.
Here are 10 more random samples of seventh-grade students' backpack weights.
Which sample has the highest mean weight?
Which sample has the lowest mean weight?
What is the difference between these two sample means?
All of the samples have a mean absolute deviation of about 2.8 pounds. Express the difference between the highest and lowest sample means as a multiple of the MAD.
Are these samples very different? Explain or show your reasoning.
[size=100][size=150]Remember our sample of tenth-grade students' backpacks had a mean weight of 14.8 pounds. The MAD for this sample is 2.7 pounds. Your teacher will assign you one of the samples of seventh-grade students' backpacks to use.[/size][/size][br][br]What is the difference between the sample means for the the tenth-grade students' backpacks and the seventh-grade students' backpacks?
Express the difference between these two sample means as a multiple of the larger of the MADs.
Do you think there is a meaningful difference between the weights of all seventh-grade and tenth-grade students' backpacks? Explain or show your reasoning.
[size=150]When anthropologists find steel artifacts, they can test the amount of carbon in the steel to learn about the people that made the artifacts. Here are some box plots showing the percentage of carbon in samples of steel that were found in two different 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[/img][br]Was there any steel found in region 1 that had [i]more[/i] carbon than some of the steel found in region 2?
Was there any steel found in region 1 that had [i]less[/i] carbon than some of the steel found in region 2?
Do you think there is a meaningful difference between all the steel artifacts found in regions 1 and 2?
Which sample has a distribution that is [i]not[/i] approximately symmetric?
What is the difference between the sample medians for these two regions?[br][br][img]data:image/png;base64,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[/img]
Express the difference between these two sample medians as a multiple of the larger interquartile range.
The anthropologists who conducted the study concluded that there was a meaningful difference between the steel from these regions. Do you agree? Explain or show your reasoning.
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?