Question

7 SAMPLING DISTRIBUTIONS (31) Sampling distributions describe the behaviour of population parameters in repeated sam pling (1) True. (2) False (32) Which of the following statements concerning sampling is false? (1) The Central Limit Theorem is very important for statistical inference. (2) The standard error of an estimator is the standard deviation of a statistic. (3) Regardless of the sample size n, if the population distribution is normal then the sampling distribution of will be exactly normal. (4) If the sampled population is uniform then the sampling distribution of is also approximately uniform. Problem G: A random sample of size n = 56 is selected from a non-normal population with mean = 24 and standard deviation o = 12.5. (33) Refer to Problem G. Describe the shape of the sampling distribution. (1) Non-normal. (2) Exactly normal. (3) Approximately normal. (4) Uniform (34) Refer to Problem G. What is the mean of the sampling distribution? (1) 12.5 (2) 24 (3) 1.67 (4) 3.2 (35) Refer to Problem G. Calculate the standard error of the sample mean. (1) 1.67 (2) 0.223 (3) 12.5 (4) 24

Answer 1

3) Sampling distribution describe the behaviour of popin porometer in repeated sampling popin mean is unbiased estiomatoz of sample mean => TRUE 32) False statement as bebw 3 Regardless of the s ample size if the poplo disrn is normal then the sampling disth of ł will be exachy noemal If sampled .popin is uniforem then the sampling disth of it is also approa. ani foem. 33) = 24, o=12-5 3)=> approximatly normal n730 =Y option. 34) of sampling dist " = "=24 ay option and s.E= 12.5 1-6703 so is correct. 9 - الد n=56 (3rd mean 35) => option ist