in-a-study-of-foot-lengths-it-was-found-that-the-lengths-are-normally-distribute

Question

In a study of foot lengths, it was found that the lengths are normally distributed with a mean of 250 mm250~	ext{mm} and a standard deviation of 15 mm15~	ext{mm}. A shoe company decides to design shoes that will not fit individuals whose foot lengths fall in the smallest 2.5%2.5\% or the largest 2.5%2.5\% of the population. What is the range of foot lengths that the shoes will cover?

Accepted Answer

220.6 mm220.6~	ext{mm} to 279.4 mm279.4~	ext{mm}

Answer

222.3 mm222.3~	ext{mm} to 277.8 mm277.8~	ext{mm}

Answer

223.6 mm223.6~	ext{mm} to 276.4 mm276.4~	ext{mm}

Answer

219.1 mm219.1~	ext{mm} to 280.9 mm280.9~	ext{mm}