A nutrition laboratory tests 50 “reduced sodium” hot dogs, finding that the mean sodium content is 317 mg, with a standard deviation of 36 mg. a) Find a 95% confidence interval for the mean sodium content of this brand of hot dog b) What assumptions have you made in this inference? Are the appropriate conditions satisfied? c) Explain clearly what your interval means. a) Find a 95% confidence interval for the mean sodium content of this brand of hot dog nde (Round to one decimal place as needed.) b) What assumptions have you made in this inference? d A. 0 B. ° C. We have assumed that the hot dog weights are random and that the distribution of the population of hot dog weights is not biased. We have assumed that the hot dog weights are independent and that the distribution of the population of hot dog weights is normal. We have assumed that the hot dog weights are not multimodal and that the distribution of the population of hot dog weights does not contain any outliers.