# Mean

Vito has completed the analysis of some sample data from a recent survey of local high school students. He has determined that his sample has attended an average of 145 days of school this year, with a standard error of the average of 8 days. The sample was random and fairly large. (refer to document attached for other given info.)

(A) Determine the range into which you can expect the true (population) mean of this year's local high school attendance to fall with a confidence level of 99%.

(B) Given these results, what is the most likely value of the true mean of the population?

(C) If it were desired to design an attendance encouragement plan that would target the students most likely to end up with grade problems, that is, those whose attendance was most likely to be truly below the mean with a confidence level of 90%, at what number of days of attendance below the sample mean would we begin counseling students?

#### Solution Summary

Vito has completed the analysis of some sample data from a recent survey of local high school students. He has determined that his sample has attended an average of 145 days of school this year, with a standard error of the average of 8 days. The sample was random and fairly large. (refer to document attached for other given info.)

(A) Determine the range into which you can expect the true (population) mean of this year's local high school attendance to fall with a confidence level of 99%.

(B) Given these results, what is the most likely value of the true mean of the population?

(C) If it were desired to design an attendance encouragement plan that would target the students most likely to end up with grade problems, that is, those whose attendance was most likely to be truly below the mean with a confidence level of 90%, at what number of days of attendance below the sample mean would we begin counseling students?