S the size of the sample increases, what happens to the shape of the sampling distribution of sample means?

a. becomes positively skewed

b. becomes negatively skewed

c. becomes uniformly distributed

d. becomes approximately normal

Question

Roberto Mcfarland

Biology

21 March, 08:26

S the size of the sample increases, what happens to the shape of the sampling distribution of sample means?

a. becomes positively skewed

b. becomes negatively skewed

c. becomes uniformly distributed

d. becomes approximately normal

+2

Answers (1)

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Taylor Bullock · Answer 1

Answer: d. becomes approximately normal

Increasing sample size results to a normal distribution. Because of the infinite numbers of samples, the mean of the sample distribution is equal to the population mean. Also, when sample sizes increase, variability of the sampling distribution may decrease and causes it to be leptokurtic.

S the size of the sample increases, what happens to the shape of the sampling distribution of sample means?a. becomes positively skewedb. becomes negatively skewedc. becomes uniformly distributedd. becomes approximately normal

S the size of the sample increases, what happens to the shape of the sampling distribution of sample means?

a. becomes positively skewed

b. becomes negatively skewed

c. becomes uniformly distributed

d. becomes approximately normal