Thank you!

Psychological Statistics (Spring 2021 - 32) Homework 5 (Chapter 10) - Problem 1 Independent Samples tTest (Ch. 10) Study Description and Data When people learn a new task, their performance uSually improves when they are tested the next day but only if they get at least 6 hours of sleep (Stickgold, Whidbee, Schirmer, Patel, & Hobson, 2000). The following data demonstrate this phenomenon. The participants learned a new task on one day= and then were tested on the task the following day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night. The table below shows descriptive statistics for each groups' performance on the test. Is there a signicant difference between the two conditions? Use a two tail test with a = .05. Test Scores 6 Hours of Sleep No Sleep 711 = 11 112 = 11 M1 = 43 M2 = 34 $31 = 690 552 = 650 Pooled Variance dfl = 111 1 df2 = 112 1 2 _ 381 + SS2 p _ df 1 + df 2 Estimated Standard Error 3 3(MrM2) = *p + *p t Statistic (M1 M2) (M1 11-2) 3(M17M2) Critical Value (Table p. 703) df= (n1 +n2)2 Critical value of t = t: Results Did lack of sleep has a statistically signicant effect on performance