Exam 3: Reasoning From Sample to Population

Assuming you are testing a null hypothesis (two-tailed) about the population mean and determining whether to reject the null hypothesis based on the t-stat at the 95% confidence level, which t-stat would warrant rejecting the null hypothesis?

As the size of the random sample gets larger, what happens to the standard deviation of the distribution for the sample mean?

The sample standard deviation is related to the sample variance through what functional form?

If the distribution of one random variable does not depend on the realization of another, the two random variables are considered what?

A confidence interval can be constructed for which of the following population parameters?

For a random variable that can take values from zero to 10, what would be the maximum sample variance that could be observed from a sample of two observations?

In making an active prediction it is advantageous for the relationship being predicted to be of what sort?

A random variable that takes on an (uncountable) infinite number of values is known as what type of random variable?

Suppose you have a random sample of employees in your company and their tenure. The sample mean of this sample is 4.2 years and the sample standard deviation is 4.5 years. How would knowing that the random sample was of size 100 instead of 60 change the 90% confidence interval for the population mean of employee tenure?

The t-stat, a specific instance of a test statistic, is used to evaluate a null hypothesis concerning which population parameter of a random variable?