7. [/3 Points] DETAILS JKESTAT11 7.E.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER According to the June 2004 Readers' Digest article "Only in America," the average amount that a 17-yearold spends on his or her high school prom is $644 Assume that the amounts spent are normally distributed with a standard deviation of $165. (Give your answers correct to four decimal places.) (a) Find the probability that the mean cost to attend a high school prom for 35 randomly selected high school 17-year-olds is between $541 and $706. :1 (b) Find the probability that the mean cost to attend a high school prom for 35 randomly selected high school 17-year-olds is greater than $742. :1 (c) Do you think the assumption of normality is reasonable? Explain. 0 If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is 2 30. 0 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. 0 If the normality assumption does not hold, then using the normal distribution is a reasonable approximate given that sample size n is