To compare the Neural Presence Factor (measured in Hz) between giant celestial squids and hyperspace foxes, a random sample of 12 squids and 9 foxes are taken and the resulting mea- surements are squids 38.899 43.652 40.126 42.803 41.848 39.323 42.512 40.060 39.780 41.138 41.960 38.648 foxes 26.477 22.387 23.574 21.286 22.404 23.984 22.440 24.651 23.757 (a) Assuming that these measurements come from normal populations, construct a 98% con- fidence interval for the ratio (squids/foxes) of the variances of the Neural Presence Factors of giant celestial squids and hyperspace foxes. Round your final answers to three decimal places. (b) Assuming that the measurements come from normal populations with equal but unknown variances, find a 95% confidence interval for the difference between the means. Round your final answers to three decimal places.

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To compare the Neural Presence Factor (measured in Hz) between giant celestial squids and
hyperspace foxes, a random sample of 12 squids and 9 foxes are taken and the resulting mea-
surements are
squids 38.899 43.652 40.126 42.803 41.848 39.323 42.512 40.060
39.780 41.138 41.960 38.648
foxes 26.477 22.387 23.574 21.286 22.404 23.984 22.440 24.651
23.757
(a) Assuming that these measurements come from normal populations, construct a 98% con-
fidence interval for the ratio (squids/foxes) of the variances of the Neural Presence Factors
of giant celestial squids and hyperspace foxes. Round your final answers to three
decimal places.
(b) Assuming that the measurements come from normal populations with equal but unknown
variances, find a 95% confidence interval for the difference between the means. Round
your final answers to three decimal places.
Transcribed Image Text:To compare the Neural Presence Factor (measured in Hz) between giant celestial squids and hyperspace foxes, a random sample of 12 squids and 9 foxes are taken and the resulting mea- surements are squids 38.899 43.652 40.126 42.803 41.848 39.323 42.512 40.060 39.780 41.138 41.960 38.648 foxes 26.477 22.387 23.574 21.286 22.404 23.984 22.440 24.651 23.757 (a) Assuming that these measurements come from normal populations, construct a 98% con- fidence interval for the ratio (squids/foxes) of the variances of the Neural Presence Factors of giant celestial squids and hyperspace foxes. Round your final answers to three decimal places. (b) Assuming that the measurements come from normal populations with equal but unknown variances, find a 95% confidence interval for the difference between the means. Round your final answers to three decimal places.
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