The sodium content in various brands of hot dogs was measured and the results are shown in the table below. The data for each type of hot dog is approximately normally distributed. Sodium Levels per Hot Dog for Various Brands (mg) Poultry 459.0 Вeef МMeat Mean 401.2 418.5 Standard Deviation 99.8 91.1 82.2 Suppose a company is planning to introduce a new line of low-sodium hot dogs. The beef version will have 279 mg of sodium, the meat version will have 316 mg, and the poultry version will have 347 mg. a) Determine the z-score for each of the new low-sodium hot dogs. b) Which type of new hot dog has the lowest sodium compared to other brands in its category? Explain.

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