According to the June 2004 Readers' Digest article "Only in America," the average amount that a 17-year-old spends on his or her high school prom is $631 Assume that the amounts spent are normally distributed with a standard deviation of $166. (Give your answers correct to four decimal places.) (a) Find the probability that the mean cost to attend a high school prom for 30 randomly selected high school 17-year-olds is between $550 and $700. (b) Find the probability that the mean cost to attend a high school prom for 30 randomly selected high school 17-year-olds is greater than $759. (c) Do you think the assumption of normality is reasonable? Explain. Pick one...... If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is ≥ 30. If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is ≥ 30. If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30. If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the June 2004 Readers' Digest article "Only in America," the average amount that a 17-year-old spends on his or her high school prom is $631 Assume that the amounts spent are normally distributed with a standard deviation of $166. (Give your answers correct to four decimal places.)

(a) Find the probability that the mean cost to attend a high school prom for 30 randomly selected high school 17-year-olds is between $550 and $700.

(b) Find the probability that the mean cost to attend a high school prom for 30 randomly selected high school 17-year-olds is greater than $759.

(c) Do you think the assumption of normality is reasonable? Explain. Pick one......

If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is ≥ 30.

If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is ≥ 30.

If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30.

If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30.

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