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.
Related Mcqs:
- 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 - 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. - 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 - 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 - 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 - 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 - For a population consisting of 4 members, a sample of size ‘2’ is taken replacement, then the number of all the possible samples are?
A. 4
B. 8
C. 16
D. 32 - 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 - Suppose for 40 observations, the variance is 50. If all the observations are increased by 20, the variance of these increased observation will be______________?
A. 50
B. 70
C. 50/20
D. 50-20 = 30
E. 50 - In the sampling without replacement a sampling unit can be selected_______________?
A. Only Once
B. More than once
C. Less than once
D. None of these
