Estimating Mean SAT Math Score Type numbers in the boxes. ab Part 1: 5 points The SAT is the most widely used college admission exam. (Most 37 Part 2:5 points community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the 10 points value of u depends on the state and the year. But let's assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score () for his state this year. The researcher chooses a random sample of 673 exams in his state. The sample mean for the test is 505. Find the 90% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, Z, is: 1.645.) Your answer should be rounded to 3 decimal places.Is smoking during pregnancy associated with premature births? T-l'pe numbers m the bum; To investigate this question= researchers selected a random 35'? Part 115 Win 5 sample of 131 pregnant women who were smokers. The average as? Part 2: 5poi'f1fs pregnancy length for this sample of smokers was 261 days. 1.3 points From a large body of research= it is known that length of human pregnancy has a standard deviation of 16 days. The researchers assume that smoking does not affect the variability in pregnancy length. Find the 90% condence interval to estimate the length of pregnancy for women who smoke. (Note: The critical zvalue to use, at: is: 1.645] Your answer should be rounded to 3 decimal places