Answer the following question
1. Suppose you are interested in testing whether the mean earning of women in your random sample of women in North Carolina is representative of the earning of the entire North Carolina female population. The average female in the sample earned $31,607 in 2005 and the average female in the NC population earned $33,405 in 2005. State the null and research hypotheses.
2. Suppose you are interested in testing whether the mean earning of North Carolina females in the sample is representative of the earning of the entire NC female population. If there are 372 females in the sample and approximately 5.2 million females in the population, calculate the degrees of freedom for this single-sample t test.
3. Suppose you are interested in testing whether the mean earning of men in California differs significantly from the mean earning of men in New York. If the number of men from California in the sample is 123 and the number of men from New York in the sample is 88, how many degrees of freedom are there?
4. List the four quantities needed to conduct a single-sample t test.
