Consider the distribution of average number of hours that co

Consider the distribution of average number of hours that college students spend sleeping each weeknight. This distribution is very skewed with a tail to the right, with a mean of 7 and a standard deviation of 1. A researcher plans to take a random sample of 18 college students. If we were to imagine that we could take all possible random samples of size 18 from the population of college students, the sampling distribution of average number of hours spent sleeping will have a shape that is

Question 6 options:

Less skewed than the population

Exactly normal

Just like the population (i.e., very skewed to the right)

It\'s impossible to predict the shape of the sampling distribution

Solution

with the increase in poputlation size , the standard error of the population distribution decreases.so, the skewness decrases

since in the problem all the possible random sample sizes are exhausted , the standard error will decrease, hence the skewness

so the correct choice is Less Skewed than the population