SAT scores: Assume that in a given year the mean mathematics SAT score was 550, and the standard deviation was 124. A sample of 69 scores is chosen. Use Excel. (a) What is the probability that the sample mean score is less than 533? Round the answer to at least four decimal places. The probability that the sample mean score is less than 533 is El. Confidence in banks: A poll conducted asked a random sample of 1201 adults in the United States how much confidence they had in banks and other financial institutions. A total of 159 adults said that they had a great deal of confidence. An economist claims that greater than 11% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both a = 0.01 and a = 0.05 levels of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 5 Part 1 of 5 (a) State the appropriate null and alternate hypotheses. 00 0=0 H : p This hypothesis test is a (Choose one) V test. X 5