Question

The sampling distribution of the mean gives...

a. all the values the same mean can take
b. the probability of getting each value if sampling is random from the H0 population
c. all the values the sample standard deviation can take
d. the probability of getting each standard deviation value if sampling is random from the H0 population
e. a and b

Answer 1

The sampling distribution of the mean gives us the probability of getting each value if sampling is random from the H0 population.

Step-by-step explanation:

The sampling distribution of the mean gives us the probability of getting each value if sampling is random from the H0 population. This means that option b is the correct answer. When we take multiple random samples from a population and calculate the mean of each sample, the distribution of these means will be approximately normal regardless of the shape of the population. The mean of the sample means will be equal to the population mean. The standard deviation of the distribution of the sample means is called the standard error of the mean.