Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. We randomly survey ten teachers from that district.
- In words, X = ______________
- X ~ _____(_____,_____)
- In words, ΣX = _____________
- ΣX ~ _____(_____,_____)
- Find the probability that the teachers earn a total of over $400,000.
- Find the 90th percentile for an individual teacher's salary.
- Find the 90th percentile for the sum of ten teachers' salary.
- If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part d?
- If each of the 70 teachers received a $3,000 raise, graphically, how would that change the distribution in part b?
OpenStax Introductory Statistics 2e, 7.2 The Central Limit Theorem for Sums, exercise 40