
Comparing Populations Math Lesson
Presentation
•
Mathematics
•
7th Grade
•
Hard
Joseph Anderson
FREE Resource
25 Slides • 7 Questions
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Multiple Select
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.
Select **all** pairs of sample means for which Lin could conclude there is a meaningful difference between the two populations.
elementary school: 12 hours, middle school: 10 hours
elementary school: 14 hours, middle school: 9 hours
elementary school: 13 hours, middle school: 6 hours
elementary school: 13 hours, middle school: 10 hours
elementary school: 7 hours, middle school: 15 hours
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Open Ended
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. Is there a meaningful difference in median distance for the two populations? Explain how you know.
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Open Ended
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.
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Multiple Choice
Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?
A sample of size 25 will produce more variability of the estimator than a sample of size 50.
A sample of size 25 will produce less variability of the estimator than a sample of size 50.
A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.
A sample of size 25 will produce a more biased estimator than a sample of size 50.
A sample of size 25 will produce a less biased estimator than a sample of size 50.
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Multiple Choice
28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. (The sample proportion is 15/50 or .3) What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day?
0.376
Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal
0.624
0.99999
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Multiple Choice
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Multiple Choice
According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.
Which of the following is true concerning the shape of the sampling distribution?
The sampling distribution is normal because n > 30
The sampling distribution is not normal because nq is < 30
The sampling distribution is normal because 10% of 180 is > 10
The sampling distribution is normal because np and nq are both > 10
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