The distribution of the population of the millions of household incomes in California is skewed to the right. Which of the following best describes what happens to the sampling distribution of the sample mean when the size of a random sample increases from 10 to 100? explain why.

a) Its mean gets closer to the population mean, its standard deviation gets closer to the population standard deviation, and its shape gets closer to the population’s shape.
b) Its mean gets closer to the population mean, its standard deviation gets smaller, and its shape gets closer to normal.
c) Its mean stays constant, its standard deviation gets closer to the population standard deviation, and its shape gets closer o the population’s shape.
d) Its mean stays constant, its standard deviation gets smaller, and its shape gets closer to normal.
e) None of the above.