In: Statistics and Probability
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.
1.Find the probability that the teachers earn a total of over $400,000
2.If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part d?
3.If each of the 70 teachers received a $3,000 raise,
graphically, how would that change the distribution in part
2. Probability increases as sample size increases. So sampling 70 teachers instead of ten would cause the distribution to be more spread out. It would be a more symmetrical normal curve.
3. If every teacher received a $3,000 raise, the distribution of X would shift to the right by $3,000. In other words, it would have a mean of $47,000.