To test if shift work leads to increase in caloric intake, a dietician had 20 of her clients record the amount of calories they consumed during the day. She believed those who work at night consumed more calories.  The data below are in hundreds of calories.  Is there a significant difference among the caloric inputs?         DAY         NIGHT BOYS: 44           42           45           41           41           41           39           36           40           36   GIRLS: 48          60            49           52            47           52            53            42             52          60   Using α=.05 and the SPSS output below.  What is the critical value of F ? What is the obtained value of the interaction F=? Are any of the main effects significant?  If so, which ones

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To test if shift work leads to increase in caloric intake, a dietician had 20 of her clients record the amount of calories they consumed during the day. She believed those who work at night consumed more calories.  The data below are in hundreds of calories.  Is there a significant difference among the caloric inputs? 

       DAY         NIGHT

BOYS: 44           42

          45           41

          41           41

          39           36

          40           36

 

GIRLS: 48          60

           49           52

           47           52

           53            42

            52          60

 

Using α=.05 and the SPSS output below. 

What is the critical value of F ?

What is the obtained value of the interaction F=?

Are any of the main effects significant?  If so, which ones 

### Descriptive Statistics

**Dependent Variable: Calories**

| Gender | Day/Night | Mean   | Std. Deviation | N |
|--------|-----------|--------|----------------|---|
| 1.00   | 1.00      | 53.2000 | 7.42967       | 5 |
| 1.00   | 2.00      | 39.2000 | 2.94558       | 5 |
| 1.00   | Total     | 46.2000 | 9.10189       | 10 |
| 2.00   | 1.00      | 49.8000 | 2.58844       | 5 |
| 2.00   | 2.00      | 53.2    | 7.42967       | 5 |
| 2.00   | Total     | 51.5000 | 5.54276       | 10 |
| Total  | 1.00      | 51.5000 | 5.54276       | 10 |
| Total  | 2.00      | 46.2    | 9.10189       | 10 |
| Total  | Total     | 48.8500 | 7.82220       | 20 |

### Levene's Test of Equality of Error Variances

**Dependent Variable: Calories**

|                      | Levene Statistic | df1 | df2 | Sig.  |
|----------------------|------------------|-----|-----|-------|
| Based on Mean        | 1.688            | 3   | 16  | .210  |
| Based on Median      | 1.155            | 3   | 16  | .358  |
| Based on Median and  |                  |     |     |       |
| with adjusted df     | 1.155            | 3   | 10.966 | .371  |
| Based on trimmed mean| 1.80             | 3   | 16  | .188  |

*Tests the null hypothesis that the error variance of the dependent variable is equal across groups.*

### Tests of Between-Subjects Effects

**Dependent Variable: Calories**

- **Corrected Model:**
  - Type III Sum of Squares: 659.350
  - df: 3
Transcribed Image Text:### Descriptive Statistics **Dependent Variable: Calories** | Gender | Day/Night | Mean | Std. Deviation | N | |--------|-----------|--------|----------------|---| | 1.00 | 1.00 | 53.2000 | 7.42967 | 5 | | 1.00 | 2.00 | 39.2000 | 2.94558 | 5 | | 1.00 | Total | 46.2000 | 9.10189 | 10 | | 2.00 | 1.00 | 49.8000 | 2.58844 | 5 | | 2.00 | 2.00 | 53.2 | 7.42967 | 5 | | 2.00 | Total | 51.5000 | 5.54276 | 10 | | Total | 1.00 | 51.5000 | 5.54276 | 10 | | Total | 2.00 | 46.2 | 9.10189 | 10 | | Total | Total | 48.8500 | 7.82220 | 20 | ### Levene's Test of Equality of Error Variances **Dependent Variable: Calories** | | Levene Statistic | df1 | df2 | Sig. | |----------------------|------------------|-----|-----|-------| | Based on Mean | 1.688 | 3 | 16 | .210 | | Based on Median | 1.155 | 3 | 16 | .358 | | Based on Median and | | | | | | with adjusted df | 1.155 | 3 | 10.966 | .371 | | Based on trimmed mean| 1.80 | 3 | 16 | .188 | *Tests the null hypothesis that the error variance of the dependent variable is equal across groups.* ### Tests of Between-Subjects Effects **Dependent Variable: Calories** - **Corrected Model:** - Type III Sum of Squares: 659.350 - df: 3
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