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trasher [3.6K]
3 years ago
15

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
Mathematics
1 answer:
kkurt [141]3 years ago
3 0

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

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