FRAPPY! Free Response AP Problem, Yay! The following problem is modeled after ac
ID: 3039810 • Letter: F
Question
FRAPPY! Free Response AP Problem, Yay! The following problem is modeled after actual Advanced Placement Statistics free response questions. Your task is to generate a complete, concise response in 15 minutes. After you generaté your response, view two example solutions and determine whether or not you feel they are "complete, "substantial," "developing" or "minimal. If they are not "complete," what would you suggest to the student who wrote them to increase their score? Finally, you will be provided with a rubric. Score your response and note what, if anything, you would do differently to increase your own score. A television producer must schedule a selection of paid advertisements during each hour of programming. The lengths of the advertisements are Normally distributed with a mean of 28 seconds and standard deviation of 5 seconds. During each hour of programming, 45 minutes are devoted to the program and 15 minutes are set aside for advertisements. To fill in the 15 minutes, the producer randomly selects 30 advertisements a) Describe the sampling distribution of the sample mean length for random samples of b) If 30 advertisements are randoily seiecled, what is the probability that the total time needed to air them will exceed the 15 minutes available? Show your work 142 Strive for a 5: Preparing for the Statistics AP ExaminationExplanation / Answer
A) mean of sampling distribution = 28
Standard deviation of sampling distribution = 5/sqrt (30) = 0.91
B) 15/30 = 0.5 min = 30 second.
P(x > 30) = P((x - mean)/(SD/ sqrt (n)) > (30 - 28)/(5/sqrt(30))
= P(Z > 2.19)
= 1 - P(Z < 2.19)
= 1 - 0.9857
= 0.0143
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.