Consider the box-and-whisker graphs shown. They suggest that a U.S. Department of Agriculture study shows that “poultry dogs” have fewer calories per “dog” than either “beef dogs” or “meat dogs.” Yet, one dietitian claims that some hot dogs made of poultry have 150% of the calories of some hot dogs made of beef. Can this claim be correct? Explain.

We do not have access to your graphs.

To determine if the dietitian's claim is correct, we need to analyze the box-and-whisker graphs provided. Firstly, let's understand how to interpret a box-and-whisker graph.

A box-and-whisker graph displays a set of data values, providing information about the distribution and spread of the data. The graph consists of a box, which represents the interquartile range (the range between the 25th and 75th percentiles), and whiskers that extend to the lowest and highest values within a certain range.

Now, let's analyze the claim made by the dietitian. They assert that some poultry hot dogs have 150% of the calories of some beef hot dogs. This implies that the maximum calorie count for the poultry hot dogs is 1.5 times higher than the maximum calorie count for the beef hot dogs.

To verify if this is possible, we will observe the whiskers on the box-and-whisker graphs for both types of hot dogs. If the dietitian's claim is true, the maximum value for the poultry hot dogs would be at least 1.5 times higher than the maximum value for the beef hot dogs.

By comparing the whisker lengths, we can determine if the claim is valid. If the longest whisker for the poultry hot dogs is significantly longer than 1.5 times the length of the longest whisker for the beef hot dogs, then the claim is correct. However, if the whiskers are not significantly different in length, then the claim is likely incorrect.

So, to determine if the dietitian's claim is true, carefully examine the maximum calorie values for both poultry and beef hot dogs on the box-and-whisker graphs provided.