Question

# 11. A rational subgroup size when applying the central limit theorem is approximately: a) 5, b)...

11. A rational subgroup size when applying the central limit theorem is approximately: a) 5, b) 2, C) 10, d) none of the above

12. You measure the height of 1000 men and the resulting distribution is normal. How many men would you expect to be 1 standard deviation either side of the central tendency?

13. When performing a one sample t-test, The statement: X=5, can be classified in hypothesis testing as: a) Ho, b) Ha, c) Hp, d) Alternate Hypothesis, e) none are correct

14. When setting up an hypothesis test the requirement that Mu>10 can be classified as: a) Ha, b) Ho, c) Null Hypothesis, d) Opposite hypothesis, e) None of the answers are correct

15. The distribution model used for DPU is: a) Poisoon, b) Binomial, c) Normal, d) Chi Squared

11. Answer is option a). 5

Explanation:

According to Central limit theorem, the distribution of means of subgroup from any distribution approaches a normal distribution when the size of the subgroup increases.

Normality of a data increases when means of subgroups of size 3 and above is taken. As the size of the subgroup increases, the variations in the distribution decreases and it starts appearing more as a normal distribution. From the means of subgroup of size 5, normality gets clearly visible. So, Rational subgroup size when applying central theorem is 5.

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