SAT scores: Scores on the math SAT are normally distributed. A sample of15 SAT scores had standard deviation 3' : 89. Someone says that the scoring system for the SAT is designed so that the population standard deviation will be at least 6 = 77. Do these data provide sufficient evidence to contradict this claim? Use the (I : 0.05 level of significance. Part 1 of5 State the null and alternate hypotheses. Ho\"; : v 'E' H1 :6 > g\" 77 i This hypothesis test is a [righttailed V test. Part2 of5 Find the critical value. Round the answer to three decimal places. 40 For 0t : 0.05, the critical value is ' 23.685 . Correct Answer: 8 :spanol