1. According to the empirical rule, for a distribution that is symmetric and bell-shaped, approximately _______...

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1. According to the empirical rule, for a distribution that issymmetric and bell-shaped, approximately _ of the data valueswill lie within 3 standard deviations on each side of the mean.
2. Assuming that the heights of boys in a high-school basket-ball tournament are normally distributed with mean 70 inches andstandard deviation 2.5 inches, how many boys in a group of 40 areexpected to be taller than 75 inches?
3. Let x be a random variable that represents the length of timeit takes a student to complete Dr. Gill’s chemistry lab project.From long experience, it is known that x has a normal distributionwith mean ? = 3.6 hours and standard deviation ? = 0.5.
Convert each of the following x intervals to standard zintervals.
(a) x ? 4.5 4. (a)
(b) 3 ? x ? 4 (b)
(c) x ? 2.5 (c)
Convert each of the following z intervals to raw-score xintervals.
(d) z ? ?1 (d)
(e) 1 ? z ? 2 (e) ________
(f) z ? 1.5 (f)_ __________________________

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Empirical rule The empirical rule states that for a normal distribution nearlyall of the data will fall within three standard deviations of themean The empirical rule can be broken down into three parts68 of data falls within the first standard deviation from themean95 fall within two standard deviations997 fall within three standard deviations1 According to the empirical rule for a distribution that issymmetric and See Answer

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