6.46 Distributions and life expectancy: Researchers have reported that the proje
ID: 3335201 • Letter: 6
Question
6.46 Distributions and life expectancy: Researchers have reported that the projected life expectancy for South African men diagnosed with human immuno- deficiency virus (HIV) at age 20 who receive anti- retroviral therapy (ART) is 27.6 years (Johnson et al., 2013). Imagine that the researchers determined this by following 250 people with HIV who were receiving ART and calculating the mean. a. What is the dependent variable of interest? b. What is the population? c. What is the sample? d. For the population, describe what the distribution of scores would be. e. For the population, describe what the distribution of means would be. If the distribution of the population were skewed, would the distribution of scores likely be skewed or approximately normal? Explain your answer. Would the distribution of means be skewed or approximately normal? Explain your answer. f. g.Explanation / Answer
Ans:
a)Dependent variable of interest is sample means for life expectancy (for south African men diagonised with HIV at age 20 who recieve ART)
b)south African men diagonised with HIV at age 20 who recieve ART
c)sample is of 250 people from the population of outh African men diagonised with HIV at age 20 who recieve ART
and sample mean is 27.6 years
d)Population may be normally distributed.
e)Distribution of sample means follows normal distribution always(for n>=30),here sample size,n=250
f)When sample size is large,whatever may be the distribution of the population(left skewed or right skewed or normal),distribution of sample means will be approximately normal.
g)Approximately Normal distribution,as n=250>=30
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