The weights of men in a particular age group have mean a = 170 pounds and standa
ID: 3174165 • Letter: T
Question
The weights of men in a particular age group have mean a = 170 pounds and standard deviation sigma = 24 pounds. a. For randomly selected samples of n = 16 men, what is the standard deviation of the sampling distribution of a, possible sample means? b. For randomly selected sample of n = 64 men, what is standard deviation of the sampling distribution of possible sample means? c. In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? The previous two parts provide a hint.Explanation / Answer
Here' the conceptual explanation of the phenomenon
mean = 170
stdev = 24
a. n=16
Stdev of sam. dist = 24/sqrt(16) = 6
b. n=64
Stdev of sam. dist = 24/sqrt(64) = 3
c. When we increase sample size, distribution tends to be more normal.
Hence,points move towards center ( mean) and the distribution becomes less
flattish, due to which the distribution loses it' standard deviation as points are now less spread out comparitively.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.