Suppose you are asked to design a product for operation at extremely low temperatures. You know that the product's dimensions will shrink as temperature decreases, and you wish to estimate the dimensions at absolute zero temperature. Towards that goal, you conduct an experiment where you measure the length of one of the components of the product at different temperatures, obtaining the results below. Temperature (Kelvin) | Length (mm) 200 95 250 96 300 98 300 99 350 101 400 102 450 105 500 105 Part a Determine a 95% confidence interval for the length of the above component at absolute zero.

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Suppose you are asked to design a product for operation at extremely low temperatures. You know that
the product's dimensions will shrink as temperature decreases, and you wish to estimate the dimensions at
absolute zero temperature. Towards that goal, you conduct an experiment where you measure the length of
one of the components of the product at different temperatures, obtaining the results below.
Temperature (Kelvin) | Length (mm)
200
95
250
96
300
98
300
99
350
101
400
102
450
105
500
105
Part a
Determine a 95% confidence interval for the length of the above component at absolute zero.
Transcribed Image Text:Suppose you are asked to design a product for operation at extremely low temperatures. You know that the product's dimensions will shrink as temperature decreases, and you wish to estimate the dimensions at absolute zero temperature. Towards that goal, you conduct an experiment where you measure the length of one of the components of the product at different temperatures, obtaining the results below. Temperature (Kelvin) | Length (mm) 200 95 250 96 300 98 300 99 350 101 400 102 450 105 500 105 Part a Determine a 95% confidence interval for the length of the above component at absolute zero.
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