Consider two population distributions labeled X and Y. Distribution X is highly skewed while the distribution Y is slightly skew
ed. In order for the sampling distributions of X and Y to achieve the same degree of normality A. Population Y will require a larger sample size
B. Population X will require a larger sample size
C. Population X and Y will require the same sample size
D. None of the above
Answer: B. Population X will require a larger sample size
Step-by-step explanation:
If a random variable say p has skewed distribution (whether right or left ) in a population then a bigger sample size is needed to make sure that the sampling distribution follows normal distribution.
Given : Two population distributions labeled X and Y.
Distribution X → highly skewed
Distribution Y → slightly skewed.
Since Distribution X more skewed so , we will need a larger sample size of population X as compared to Y.
Hence, the correct answer is B. Population X will require a larger sample size
Take the 89 times 5 tests. You get 445 total score you need for an average of 89. Add 82, 89, 92, 87=350 445-350=95 They must get a 95 on next test to get the average of 89