Math

Section 10.3 Homework - Paper and Pencil Last, First Name: _MAY problem 1) (Use the Classical Approach) Do students who learn English and another language simultaneously score worse on the SAT Critical Reading exam than the general population of test takers? The mean score among all test takers on the SAT Critical Reading exam is 501. A random sample of 100 test takers who learned English and another language simultaneously had a mean SAT Critical Reading score of 485 with a standard deviation of 116. Do these results suggest that students who learn English as well as another language simultaneously score worse on the SAT Critical Reading exam? Use the a = 0.01 level of significance. a) State the appropriate Null and Alternative Hypotheses. (+10) b) Verify the requirements to perform the test using the t-distribution are satisfied. i . Is the sample obtained using simple random sampling or from a randomize experiment? (+2.5) ii. Is the population from which the sample is drawn is normally distributed, or the sample size is large (n > 30)? (+5) iii. Are the sample values independent from each other or the sample size is less than 5% of the population size? (+2.5) c) Find the Critical Value(s). Round to three decimal places. [Draw a normal curve] (+10) d) State the Rejection Region. Label the Rejection Region in part (c). (+5) e) Find the Test Statistic. Round to three decimal places. [Update your sketch in part (c)] (+5) f) State the appropriate conclusion for this test. (+10)