Assignment:
1. True or False. Consider two samples from the same population. Sample 1 has size n= 500 and sample 2 has size n= 200.
a. The sampling distribution of the mean based on sample 1 will have a larger standard deviation than the sampling distribution of the mean based on sample 2. True or False?
b. The standard error of the mean based on sample 1 will be larger than the standard error of the mean based on sample 2. True or False?
c. A 95% confidence interval (CI) based on sample 1 is expected to be shorter than a 95% CI based on sample 2. True or False?
d. The mean of sample 2 is expected to be closer to the population mean than the mean of sample 1. True or False?
e. Sample 1 is expected to have a smaller mean than sample 2. True or False?