Can some please help me with c and d and explain why those are the answers? 1-Ho
ID: 3073422 • Letter: C
Question
Can some please help me with c and d and explain why those are the answers?
1-Hollie Schuetz-x Grades for Hollie Schue xhttps/ies G Can Someone Please H. https//csu-statistics.shi X Stat 301 Module 4 Ho C | D x ANEQ 473 Estrus Cyck C https://www.webassign.net/web/Student/Assignment-Responses/submit?dep-19369694 Mail-h olieschuet Front Range Comm y Front Range Comm M colorado State Univ 12 oa Login-Canvas Col PDF to PPT Convert WebAssign POF Stats Book Other bookmar Suppose that, in these tests, the distribution of reaction times is skewed slightly to the right. Suppose also that mean reaction time is 190 milliseconds, and the standard deviation for reaction times is 20 milliseconds (for the purposes of this problem, you can treat the mean and standard deviation as population parameters). Use this information to answer the following questions, and round your answers to four decimal places a. Suppose we have 12 different people take this reaction time test. What is the probability that the average of these 12 reaction times will be greater than 180 milliseconds? 0.9584 b. Suppose we have 17 different people take this reaction time test. What is the probability that the average of these 17 reaction times will be less than 197 milliseconds? 0.9255 c. Suppose we have 30 different people take this reaction time test. What is the probability that the average of these 30 reaction times will be less than 184 milliseconds? d. Would it be appropriate to use the normal probability app to compute the probability that a single reaction time is less than 184 milliseconds? (You have two attempts for this question.) O Yes, because the Central Limit Theorem makes everything become normally distributed. O Yes, because converting a variable to a z-score makes that variable become normally distributed O Yes, because everything in statistics is an approximation and so it doesn't matter if our methodology makes sense. All that matters is that we use a method that produces a number of some sort. O No, because reaction times are not normally distributed, and the normal probability app is only for computing probabilities associated with a normally distributed variable O No, because you cannot compute a probability for a single event, only for the long run relative frequency of an infinite number of events. Yes, because the Law of Large Numbers states that as a variable increases, it becomes more accurate No, because we can only compute the probability that reaction time is less than "or equal to 184 milliseconds. 5:31 PM 9/24/2018 NC Type here to search Ei DOLLExplanation / Answer
c)
mean = 190
sd = 20
n = 30
se = 20/sqrt(30) = 3.6515
P(X < 184)
= P(z < (184 - 190)/3.6515)
= P(z < -1.6432)
= 0.0502
Ans: 0.0502
d) Yes
Option B