1. The data (TET) relates to a study by Reiter and others (1981) concerning the effects of injecting triethyl-tin (TET) into rats once at age 5 days. The animals were injected with 0, 3 or 6 mg per kilogram of body weight (three levels). The response was the log of the activity count for 1 hour, recorded as 21 days of age. The rat was left to move about freely in a figure 8 maze. In this question, we will choose LOGACT21 as our response, the factor DOSAGE will be considered. (You will choose significance level at .05). a. One wants to investigate whether Dosage level will have any impact on LOGACT21. Please write out the appropriate linear model. b. Test the hypothesis that Dosage level will have impact on LOGACT21. Set up the null and alternative hypotheses; Report the P-value and make your conclusion from SAS result. 2. Still on data TET. In this question, we will choose LOGACT21 as our response, the two factors DOSAGE and SEX will be considered. (You will choose significance level at .05). a. Set up appropriate model for this data (including the possible interaction terms). b. (Interaction effect) Test the hypothesis that the gender effect is the same for all three levels of DOSAGE. Set up appropriate model, hypotheses and report your results. c. Considering the model without the interactions, do levels of DOSAGE have any significant impact on the mean value of LOGACT21? Set up appropriate model, hypotheses and report your results.

ID LOGACT21 Dosage Sex 1 2.636 0 Male 2 2.736 0 Male 3 2.775 0 Male 4 2.672 0 Male 5 2.653 0 Male 6 2.569 0 Male 7 2.737 0 Male 8 2.588 0 Male 9 2.735 0 Male 10 2.444 3 Male 11 2.744 3 Male 12 2.207 3 Male 13 2.851 3 Male 14 2.533 3 Male 15 2.63 3 Male 16 2.688 3 Male 17 2.665 3 Male 18 2.517 3 Male 19 2.769 3 Male 20 2.694 6 Male 21 2.845 6 Male 22 2.865 6 Male 23 3.001 6 Male 24 3.043 6 Male 25 3.066 6 Male 26 2.747 6 Male 27 2.894 6 Male 28 1.851 6 Male 29 2.489 6 Male 30 2.494 0 Female 31 2.723 0 Female 32 2.841 0 Female 33 2.62 0 Female 34 2.682 0 Female 35 2.644 0 Female 36 2.684 0 Female 37 2.607 0 Female 38 2.591 0 Female 39 2.737 0 Female 40 2.22 3 Female 41 2.371 3 Female 42 2.679 3 Female 43 2.591 3 Female 44 2.942 3 Female 45 2.473 3 Female 46 2.814 3 Female 47 2.622 3 Female 48 2.73 3 Female 49 2.955 3 Female 50 2.54 6 Female 51 3.113 6 Female 52 2.468 6 Female 53 2.606 6 Female

54 2.764 6 Female 55 2.859 6 Female 56 2.763 6 Female 57 3 6 Female 58 3.111 6 Female 59 2.858 6 Female

make sure to include the SAS Code for both.