Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years. In the 1950s, the average score on the Child Manifest Anxiety Scale was ? = 15.1. A sample of n = 16 of today's children produce the following scores: 18,17,17,15,14,21,20,20,19,21,15,16,18,19,20,22 Conduct a one-sample t-test to determine if today's kids are significantly more or less anxious than kids in the 1950s (? = 15.1). What do you conclude from the test? You must correctly state the conclusion (more than just reject/retain) to get full credit.

HOM= 15.1 n = 14 0= 2.41 HOME 15.1 n - 1 = 15 From sample : x - 18.5 SS = EXz _ (EX) 2 SE( M ) = 2.41 n 5S = 5416-(292)2 = 87 16 X Students Scores X X 82 = $5 = 35 = 87 = 5.8 = HAVENO = 0.6025 1 18 324 75 SE( PL ) = METH WE 0.6025 2 17 289 0 = 182 = 55.8 = 2.41 t = 18.25 - 15.1 5.23 3 17 289 ONEAT 0.6025 4 15 225 * we want to know more or less t = 5.23 5 14 196 10.0B 21 441 (+ 7 5.23) 1: 5.23 20 400 20 400 What do we conclude: 15.1 O 1.153 19 361 we retain the null considering 10 21 441 there is significant evidence 11 15 2125 that todays kids are more 12 16 256 anxious than kids in the 1950s 13 18 32.4 14 19 361 15 20 400 16 22 484 292 5416