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Problem 6. True (T) and False (F) Problems: [2x5 10 points] I ] The median of a

ID: 3044517 • Letter: P

Question

Problem 6. True (T) and False (F) Problems: [2x5 10 points] I ] The median of a data set must be one of the actual number in a given data set. [ ] There are 75% of observations will be ranked below the first quantile value in a given data set. I J Two types of errors always exist in hypothesis testing since hypothesis testing use sample data to make inference about population claims. I ] Since the median is more sensitive than the mean, so mean value can be a better representation t a given data set including a community's overall wealth or poverty level. I 1 According to the central limit theorem (CLT), most quality measurements can be assumed to be normally distributed if the quality measurement understood as the results/summation of many qual contributing factors.

Explanation / Answer

a)
F
b)
F , 75 % is below Q3
c)
true

d)
False , mean is more sensitive especially in the presence of outlier

e)
false
if sample size is large enough