After being sleep deprived, participants are given either a placebo or a caffeine pill and required to solve arithmetic problems under four levels of distraction. The number of errors committed for each condition for each participant was recorded.

(a)What type of design is used here?

Use SAS to answer the following questions. For each question report the p-value and the observed test statistic. For all your hypothesis testing at ?= 0.05 level.

(b)Is there a significant distraction effect?

(c)Is there a significant treatment effect?

(d) Did the distraction affect equally across two treatments?

The CLM Precedent Repeated Measures. Analysis of Variance Sphoraity Tests Variables DF Criterion Chi-square Pre Chi5q Transformed Variairs 04751 The GEM Procedure Repeated Measures Anaasks of Farhere Test of Hypodoes for Between Subject Effect Source DF Type III $5 Mean Square PT IF 21.13506800 01907 Enor 10.12500300 The GEM Procedure Repented Measures Analysts of Varirare Dahmerlate Tests of Rypowerses for Il Dain Subject Effects Source DF Type IIIS5 Mean Square FVamy PrF C.G HEL 15 07 Distraction treatment 17 3750000 171 0.3120 0 6145 Huynh-Fridi-Lecontre Epsilon