# Multiple choice questions

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</5

N(1-p)</.5 and np</5

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

https://brainmass.com/statistics/normal-distribution/multiple-choice-questions-157422

#### Solution Preview

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:

Mean= 48

Standard deviation of sampling distribution of mean= standard deviation / sauare root of sample size

= 16 / square root of 16 = 16/4 = 4

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 ...

#### Solution Summary

Answers to Multiple choice questions on sample means, standard deviation, sample size, normal distribution, t distribution