researcher is interested in estimating the extent to which posting caloric labels on menus changes the number of calories consumed by patrons. To test the impact of posting caloric labels on menu items, the analyst created two menus for the same restaurant: One menu with caloric labels and one menu without. As soon as restaurant guests entered the restaurant, they were randomly assigned one of the two types of menus. For the sake of clarity, guests assigned the menu with caloric labels are referred to as “Group 1” or the “treatment group”. Likewise, guests assigned the menu without caloric labels are referred to as “Group 2” or the control group. The analyst then collected data detailing how many calories each guest consumed as well as recording the age of each guest. The variable Cal1 denotes the number of calories consumed by guests who were assigned to the treatment group 1, while the variable Cal2 denotes the number of calories consumed by guests who were assigned to the control group 2. The variables Age1 and Age2 denote the age of the guests in each sample. The data is as follows: Sample 1: Treatment Group Individual Cal1 Age1 1 135 21 2 133 34 3 127 25 4 75 43 5 252 52 6 148 48 Sample 2: Control Group Individual Cal2 Age2 1 169 21 2 153 25 3 127 34 4 105 52 5 273 43 6 170 49 7 114 47 Using the data, compute the sample standard deviation of the variable Cal2 Group of answer choices
A researcher is interested in estimating the extent to which posting caloric labels on menus changes the number of calories consumed by patrons. To test the impact of posting caloric labels on menu items, the analyst created two menus for the same restaurant: One menu with caloric labels and one menu without. As soon as restaurant guests entered the restaurant, they were randomly assigned one of the two types of menus. For the sake of clarity, guests assigned the menu with caloric labels are referred to as “Group 1” or the “treatment group”. Likewise, guests assigned the menu without caloric labels are referred to as “Group 2” or the control group. The analyst then collected data detailing how many calories each guest consumed as well as recording the age of each guest. The variable Cal1 denotes the number of calories consumed by guests who were assigned to the treatment group 1, while the variable Cal2 denotes the number of calories consumed by guests who were assigned to the control group 2. The variables Age1 and Age2 denote the age of the guests in each sample. The data is as follows:
| Sample 1: Treatment Group | ||
| Individual | Cal1 | Age1 |
| 1 | 135 | 21 |
| 2 | 133 | 34 |
| 3 | 127 | 25 |
| 4 | 75 | 43 |
| 5 | 252 | 52 |
| 6 | 148 | 48 |
| Sample 2: Control Group | ||
| Individual | Cal2 | Age2 |
| 1 | 169 | 21 |
| 2 | 153 | 25 |
| 3 | 127 | 34 |
| 4 | 105 | 52 |
| 5 | 273 | 43 |
| 6 | 170 | 49 |
| 7 | 114 | 47 |
Using the data, compute the sample standard deviation of the variable Cal2
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