Buying textbooks for a year at college can be expensive! An article claimed that, on average, college students spend approximately $500 on textbooks per year with a standard deviation of $325 and the interquartile range (IQR) is $180. The dotplot shows the results of taking 50 SRSS of size 10 from a Normal population with μ = 500 and σ= 325 and recording the sample IQR each time. 60 80 100 120 140 160 180 200 220 240 260 280 IQR = Simulated sample interquartile range of the annual cost of college textbooks ($) (a) Briefly explain what the dot at 240 represents. (b) Suppose a random sample of 10 actual college students was selected and the IQR of this actual sample is IOR = $90. What would you conclude about the claim that the population IQR is $180?

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Buying textbooks for a year at college can be expensive! An article claimed that, on average, college students
spend approximately $500 on textbooks per year with a standard deviation of $325 and the interquartile range
(IQR) is $180. The dotplot shows the results of taking 50 SRSS of size 10 from a Normal population with = 500
and = 325 and recording the sample IQR each time.
60 80 100 120 140 160 180 200 220 240 260 280
IQR = Simulated sample interquartile range of the
annual cost of college textbooks ($)
(a) Briefly explain what the dot at 240 represents.
(b) Suppose a random sample of 10 actual college students was selected and the IQR of this actual sample is
IQR = $90. What would you conclude about the claim that the population IQR is $180?
Transcribed Image Text:Buying textbooks for a year at college can be expensive! An article claimed that, on average, college students spend approximately $500 on textbooks per year with a standard deviation of $325 and the interquartile range (IQR) is $180. The dotplot shows the results of taking 50 SRSS of size 10 from a Normal population with = 500 and = 325 and recording the sample IQR each time. 60 80 100 120 140 160 180 200 220 240 260 280 IQR = Simulated sample interquartile range of the annual cost of college textbooks ($) (a) Briefly explain what the dot at 240 represents. (b) Suppose a random sample of 10 actual college students was selected and the IQR of this actual sample is IQR = $90. What would you conclude about the claim that the population IQR is $180?
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