1. An automobile manufacturer timed a random sample of 10 mechanics in the performance of a particular maintenance task. If it took them on average 24.05 minutes with a standard deviation of 2.68 minutes, construct and interpret a 95%-confidence interval for the population variance arrived at using the x² (n-1)s² distribution of the quantity (the customary method.)

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1. An automobile manufacturer timed a random sample of 10 mechanics in the performance of a particular
maintenance task. If it took them on average 24.05 minutes with a standard deviation of 2.68 minutes,
construct and interpret a 95%-confidence interval for the population variance arrived at using the x²
distribution of the quantity
(the customary method.)
(n-1)s²
02
Transcribed Image Text:1. An automobile manufacturer timed a random sample of 10 mechanics in the performance of a particular maintenance task. If it took them on average 24.05 minutes with a standard deviation of 2.68 minutes, construct and interpret a 95%-confidence interval for the population variance arrived at using the x² distribution of the quantity (the customary method.) (n-1)s² 02
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Using this same information, can you construct a 95% confidence interval for the population variance using the large-sample method (see image) and compare/contrast the two results?

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Transcribed Image Text:1+ S za/2 √√2n <o <0< 1- 5 2012 √2n
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