For t distribution, increasing the sample size, the affect will be on ?

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. 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

4. A list of sample _________ is called sample space?

   A. Events
   B. Subset
   C. Piont
   D. Distinct

5. Let X1,X2,…Xn be a random sample from the density f(x;(θ), where θ may be vector. If the conditional distribution of X1,X2,…Xn given S=s does not depend on θ for any value of s of S, then statistic is called?

   A. Minimal sufficient statistic
   B. Sufficient statistic
   C. Efficient
   D. Minimax statistics

6. 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

7. A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is___________?

   A. Approximately normal because is always approximately normally distributed
   B. Approximately normal because the sample size is large in comparsion to the population size
   C. Approximately normal because of the central limit theorem
   D. Normal if the population is normally distributed

8. A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately ?

   A. Normal because is always approximately normally distributed
   B. Normal because the sample size is small in comparison to the population size
   C. Normal because of the central limit theorem
   D. None of these alternatives is correct.

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

   A. n > 30
   B. N(1 – p) > 5
   C. 2 n 5
   E. N < 30

10. if in a binomial probability distribution mean and variance are 6 and 2.4 respectively, then the parameters of this distribution are:____________________?

    A. n = 10, p = 6/10
    B. n = 50, p = 6/50
    C. n = 10, p = 3/5
    D. n = 10, p = 2/5