condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is ?

Related Mcqs:

1. If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ?

   A. Only when the sample size is at least 100.
   B. Only when the sample size is smaller than 30
   C. Always
   D. Only when the sample size is at least 30.

2. If in a sampling distribution of X the sample size is 25, what assumption must hold for the sampling distribution of X to be normal ?

   A. Population distribution is normal
   B. μ1 = μx
   C. Population distribution is uniform
   D. σx = σx /√n

3. Random samples of size 17 are from a population that has 200 elements, a mean of 36, and a standard deviation of 8. which of the following best describes the from of the sampling distribution of the sample mean for this situation ?

   A. Approximately normal because the sample size is small relative to the population size
   B. Approximately normal because of the central limit theorem
   C. Exactly
   D. None of these alternatives is correct

4. For a population with any distribution, the form of the sampling distribution of the sample mean is_____________?

   A. Sometimes normal for all sample sizes
   B. Sometimes normal for large sample sizes
   C. Always normal for all sample sizes
   D. Always normal for large sample sizes

5. A sampling distribution is the probability distribution for which one of the following___________?

   A. A sample
   B. A sample statistic
   C. A population
   D. A population parameter

6. In probability sampling each sampling unit has some____________________?

   A. Unknown
   B. Large
   C. Small
   D. Know

7. A list of sampling _________ is called sampling frame?

   A. Point
   B. w.r.m
   C. w.o.r
   D. unit

8. In sampling with replacement be t a sampling unit can selected________________?

   A. Only once
   B. More than once
   C. Less than once
   D. None

9. Which sampling method we will apply if there is no sampling frame?

   A. Systematic sampling
   B. Cluster sampling
   C. Simple random sampling
   D. Stratified sampling

   Submitted by: Nimra Shaheen

10. Cluster sampling is useful when sampling units are__________?

    A. Close another
    B. Far a part
    C. Mixed
    D. None of these

    Submitted by: Nimra Shaheen