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Chapter 3: Problem 8

An advertisement for Royal Rat Rations states: "7 out of 8 veterinarians recommend Royal Rat Rations for your fancy rat." No other information about the data is provided by the company. Based on this data, which of the following inferences is most valid? A) Royal Rat Rations provides the best nutrition for fancy rats. B) If you do not feed your rat Royal Rat Rations, your rat will be unhealthy. C) Only one veterinarian does not recommend Royal Rat Rations for your fancy rat. D) Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat. $$ \frac{1}{2} t+4=\frac{3}{4} t-5 $$

Short Answer

Expert verified
The most valid inference based on the given data is Option D: Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat.

Step by step solution

01

Examine Option A

Option A claims that Royal Rat Rations provides the best nutrition for fancy rats. However, the given data only states that 7 out of 8 veterinarians recommend it. We don't have any information about the actual nutritional content of the rat rations. This inference may be too strong based on the provided information.
02

Examine Option B

Option B states that if you do not feed your rat Royal Rat Rations, your rat will be unhealthy. Again, the given data only communicates that the majority of veterinarians recommend this particular brand. It does not state that a rat fed a different brand will be unhealthy. This inference is unsupported by the data.
03

Examine Option C

Option C states that only one veterinarian does not recommend Royal Rat Rations for your fancy rat. According to the given data, this is true since 7 out of 8 veterinarians recommend the product, leaving only one veterinarian who does not recommend it. This inference accurately reflects the provided information.
04

Examine Option D

Option D says that of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat. This inference is also accurate, as 7 out of 8 veterinarians recommending the product is indeed a majority.
05

Choose the Most Valid Inference

Based on the given information and analysis, option C and option D are accurate. However, option D provides a slightly more comprehensive view of the situation, stating that the majority of the surveyed veterinarians recommend Royal Rat Rations. Therefore, the most valid inference among the given options is Option D.

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A) NO CHANGE B) gathered up C) collected up D) gathered
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