The average annual cost of tuition for all 49 public 2 year colleges (Alaska did not submit data) for the academic year 2020-2021 is $4,571 according to the "Trends in College Pricing 20201" report of the College Board. The College Board conducted the study using all available statewide data and showed a standard deviation from all 49 states of $1,740. Assume the data is normally distributed. a) In what range (lower end and upper end) would 90% of all this data fallI? b) In what range (lower end and upper end) would 98% of all this data fallI? c) How much would tuition need to be for the 90th percentile?

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The average annual cost of tuition for all 49 public 2-year colleges (Alaska did not submit data) for the academic year 2020-2021 is $4,571 according to the “Trends in College Pricing 2020” report of the College Board. The College Board conducted the study using all available statewide data and showed a standard deviation from all 49 states of $1,740. Assume the data is normally distributed.

a) In what range (lower end and upper end) would 90% of all this data fall?

b) In what range (lower end and upper end) would 98% of all this data fall?

c) How much would tuition need to be for the 90th percentile?

d) How much would tuition be to be in the lowest 10%?
Transcribed Image Text:The average annual cost of tuition for all 49 public 2-year colleges (Alaska did not submit data) for the academic year 2020-2021 is $4,571 according to the “Trends in College Pricing 2020” report of the College Board. The College Board conducted the study using all available statewide data and showed a standard deviation from all 49 states of $1,740. Assume the data is normally distributed. a) In what range (lower end and upper end) would 90% of all this data fall? b) In what range (lower end and upper end) would 98% of all this data fall? c) How much would tuition need to be for the 90th percentile? d) How much would tuition be to be in the lowest 10%?
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