(a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707 (b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757. (c) Do you think the assumption of normality is reasonable? Explain. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is 2 30. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30. O 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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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 $638 Assume that the
amounts spent are normally distributed with a standard deviation of $173. (Give your answers correct to four decimal places.)
(a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707.
(b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757.
(c) Do you think the assumption of normality is reasonable? Explain.
O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is > 30.
O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is > 30.
O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30.
O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is < 30.
Transcribed Image Text: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 $638 Assume that the amounts spent are normally distributed with a standard deviation of $173. (Give your answers correct to four decimal places.) (a) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is between $553 and $707. (b) Find the probability that the mean cost to attend a high school prom for 33 randomly selected high school 17-year-olds is greater than $757. (c) Do you think the assumption of normality is reasonable? Explain. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is > 30. O If the normality assumption does not hold, then using the normal distribution is not a reasonable approximate given that sample size n is > 30. O If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is < 30. O 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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