Player ASimple ,andom tarpie d size n-63isobtaned hem a population witp.71and ?
ID: 2909385 • Letter: P
Question
Player ASimple ,andom tarpie d size n-63isobtaned hem a population witp.71and ? 3 Does the populaton need to be normaly Does the population need to be normally distributed for the sampling distribution of i to be approximately normaly distributed? Why? states that regardless of the shape of the underlying population, the samping distribution of x becomes appre B. No because the Central Limit Theorem states that only i# the shape of the C. undertying population is normal or unform does the sampling distibution Yes because the Central Limit Theorem states that only for underlying populations that are nomal is the shape of the sampling distrbution of i nom D. Yes because the Central Limit Theorem states that the sampling variablity of nonnormal populations wil increase as the sample size increases (Type integers or decimals rounded to three decimal places as needed ) A. The sampling distrbuson of x is skewed len with4" and . 8. The sampling distribution of k is unitorm with and c. The sampling buton of x folows Students ist bution wit,i- and ?i- D. The sampling distribution of x is normal or approximaely normal with p,and Han/1/2018Explanation / Answer
Solution:- Given sample n = 63, ? = 71, ? = 3
=> option A. No because the Central Limit Theorem states that regardless of the shape of the underlying? population, the sampling distribution of x overbar becomes approximately normal as the sample? size, n, increases.
=> option D. The sampling distribution of x overbar is normal or approximately normal with ?x = 71 and ?x = 0.378
=> ?x = 71 , ?x = 3/sqrt(63) = 0.378