It is known that in 2013 the population mean for the writing section of the SAT is 488, with a standard deviation of 114. A sample of 100 students taking the SAT whose family income was less than $20,000 had a verbal score of 429. a. Perform a two-tailed hypothesis test to determine whether the group whose family income was less than $20,000 had a significantly different score on average than the population. State the test statistic and your decision. (3pts) b. Assume that rather than a sample of 100, the sample size was only 10. Perform the same hypothesis test again with this new sample size. State the test statistic and your decision. (2pts)