the distribution of the various sample sizes, statistics homework help

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the distribution of the various sample sizes, statistics homework help

The sampling distribution of the sample mean refers to

  • the distribution of the different possible values of the sample mean

B. the distribution of the various sample sizes

C. the distribution of the values of the objects/individuals in the population

D. the distribution of the data values in a given sample

E. none of the listed

2. The Central Limit Theorem states that

  • if the sample size is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve
  • if the sample size is large, then the distribution of the sample sizes can be approximated closely by a normal curve
  • if the population size is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve
  • if the population size is large, then the variance of the sample mean must be small

if the sample size is large, then the standard deviation of a given sample must be small

The sampling distribution of the sample mean based on a random sample of size 100 from a significantly right-skewed distribution will have a

  • normal distribution
  • poisson distribution
  • binomial distribution
  • right-skewed distribution
  • none of the above

Suppose a sample of size 100 is selected from a non-normal population with mean 40 and standard deviation 25. Then the distribution of possible values of the sample mean will be

  • approximately normal with mean 40 and standard deviation 2.5
  • approximately binomial with mean 40 and standard deviation 2.5
  • approximately normal with mean 40 and standard deviation 25
  • approximately binomial with mean 40 and standard deviation 25
  • approximately normal with mean 4 and standard deviation 25
  • approximately binomial with mean 4 and standard deviation 25