Discuss the following:
1) IF the sampled population has a mean 48 and standard deviation 16, then the mean and the standard deviation for the sampling distribution of x-bar for n=16 are:
2) Consider two population distributions labeled A and B. Distribution A is highly skewed and non-normal, while the distribution B is slightly skewed and near normal. In order for the sampling distributions of A and B to achieve the same degree of normality:
Choices:
Population A will require a larger sample size
Population B will require a larger sample size
Population A and B will require the same sample size.
3) A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 lbs and 24 lbs respectively, then based on a sample size of 36 boxes, the probability that the average weight of the boxes will exceed 94 lbs. is:
Choices
34.13%
84.13%
15.87%
56.36%
16.87%
4) The population of all sample proportions has a normal distribution if the sample size is sufficiently large. The rule of thumb for ensuring that is sufficiently large is:
Np>5
N(1-p)>5
Bo
N(1-p)
Np>/5 and n(1-P)>/5
5) The t distribution approaches the ______ as the sample size ________.
Choices:
Binomial, increases
Binomial, decreases
Z, decreases
Z, increases