Lee Photographe – Kailasha Foundation https://kailashafoundation.org Fun & Learn Portal Tue, 30 Apr 2019 08:18:16 +0000 en-US hourly 1 https://wordpress.org/?v=5.1.1 Stats https://kailashafoundation.org/questions/stats-3/ https://kailashafoundation.org/questions/stats-3/#respond Wed, 10 Apr 2019 16:13:11 +0000 https://kailashafoundation.org/?post_type=question&p=48318 Suppose that men’s foot lengths are normally distributed with mean 9.84 inches and standard deviation1.57 inches and womenís foot lengths are normally distributed with mean 7.48 inches and standard deviation 1.18 inches. A reasonable starting point to deciding on a cut-o§-value is to split the di§erence: conclude a footprint belongs to a man if it […]

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]]> Suppose that men’s foot lengths are normally distributed with mean 9.84 inches and standard deviation1.57 inches and womenís foot lengths are normally distributed with mean 7.48 inches and standard deviation 1.18 inches.

A reasonable starting point to deciding on a cut-o§-value is to split the di§erence: conclude a footprint belongs to a man if it is longer than 8.66 inches (the midpoint of the means 7.48 and 9.84).

Using this rule, what is the probability that you will mistakenly identify a manís footprint as having come from a woman?

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