Question 1: A math teacher believes that she has developed a review course that increases the scores on the math portion of the SAT exam. Based on reliable data, scores are normally distributed with u = 523 and standard deviation = 113. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean SAT math score of the 1800 students is 527.
a)State the null and alternative hypothesis.
b) Test the hypothesis at the a= 0.10 level significance.
Questions 2: Researchers want to measure the effect of alcohol on the development of the hippocampal region in adolescents. The researchers randomly selected 11 adolescents with alcohol use disorders. They wanted to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02cm 3 (this should be 9.03 cm to the third power). An analysis of the sample data revealed that the hippocampal volume is approximately normal with X- (this should be x with a line over it) = 8.49 and s = 0.8. Conduct an appropriate test at the a= 0.01 level of significance.