Which of the following is a true statement for comparing the t distribution with standard normal ?

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. 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

3. The equation of standard normal distribution is f(z)=________?

   A. 1/σ√2∏e 1/2×2
   B. 1/σ√2∏e -1/2×2
   C. 1/√2∏
   D. 1/σ√2∏

4. In a standard normal distribution z = 0 corresponds to _____________?

   A. Mean
   B. S.D.
   C. M.D.
   D. Q.D.

5. 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

6. __________ of the distribution which is measured relative to the distribution known as Normal?

   A. Skewed
   B. Flatness
   C. Normal
   D. Moment

7. Normal distribution is a probability distribution of _____ random variable?

   A. Continuous
   B. Constant
   C. Discrete
   D. Normal

8. Normal distribution is the distribution of _______________?

   A. Discrete r.v.
   B. Continuous r.v.
   C. Qualitative variable
   D. Quantitative variable

9. Normal distribution is _____ distribution?

   A. Symmetrical
   B. non-symmetrical
   C. + vely skewed
   D. -vely skewed

10. 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