To calculate the adjusted means for each level of Air Temp at a Full Dose of the Dietary Supplement, we use the parameter estimates from Table 3 and the information provided in Table 1. Let's denote: - \( \mu_{21} \): Mean body temperature at 21C - \( \mu_{25} \): Mean body temperature at 25C - \( \mu_{29} \): Mean body temperature at 29C - \( \mu_{33} \): Mean body temperature at 33C From Table 3, we have the intercept and coefficients for each level of Air Temp and Full Dose: - Intercept: \( \beta_0 = 37.125 \) - Coefficients for Air Temp: \( \beta_{21} = 0 \), \( \beta_{25} = -0.093 \), \( \beta_{29} = -0.157 \), \( \beta_{33} = -0.023 \) - Coefficients for Full Dose: \( \beta_{\text{Full Dose}} = 0.039 \) Using these coefficients, we can calculate the adjusted means for each level of Air Temp at a Full Dose: 1. For 21C: \[ \mu_{21} = \beta_0 + \beta_{21} + \beta_{\text{Full Dose}} \] \[ \mu_{21} = 37.125 + 0 + 0.039 \] \[ \mu_{21} = 37.164 \] 2. For 25C: \[ \mu_{25} = \beta_0 + \beta_{25} + \beta_{\text{Full Dose}} \] \[ \mu_{25} = 37.125 - 0.093 + 0.039 \] \[ \mu_{25} = 37.071 \] 3. For 29C: \[ \mu_{29} = \beta_0 + \beta_{29} + \beta_{\text{Full Dose}} \] \[ \mu_{29} = 37.125 - 0.157 + 0.039 \] \[ \mu_{29} = 37.007 \] 4. For 33C: \[ \mu_{33} = \beta_0 + \beta_{33} + \beta_{\text{Full Dose}} \] \[ \mu_{33} = 37.125 - 0.023 + 0.039 \] \[ \mu_{33} = 37.141 \] Therefore, the adjusted means for each level of Air Temp at a Full Dose of the Dietary Supplement