STATS 250 Lecture Notes - Lecture 24: Confidence Interval, Standard Deviation, Type I And Type Ii Errors

• School: U of M
• Department: Statistics
• Course: STATS 250
• Professor: Nadiya Fink

Document Summary

Testing about a population mean, examples, time spent watching tv a study looked at the amount of time that teenagers are spending watching tv. No the 95% confidence interval for mean amount time (in hours) spent watching tv on a weekend day was given as: 2. 6 hours 2. 1 hour. 0: the pumpkin is from naomi"s farm when x = weight has a n(12,3) distribution versus : the pumpkin is from reed"s farm when x = weight has a n(10,2) distribution. Decision rule: if pumpkin weighs 11 pounds or less, conclude it is from. Reed"s farm; and if the pumpkin weighs more than 11 pounds, conclude it is from naomi"s farm: determine the probability that a type i error might be made, determine the corresponding power of the test. 1 - p[z < 0. 33] = 1 - 0. 6293 = 0. 3707 (1) = p[reject 0when 0is true] = p[x 11 when x ~ ] = p[z 0. 33] = p[z > 0. 33] =