A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325​-mg upper limit set by regulations for​ "reduced sodium" franks. The mean sodium content for the sample was 321.9 mg with a standard deviation of 17 mg. Assume that the assumptions and conditions for the test are met. ​a) Test the hypothesis that the mean sodium content meets the regulation. ​b) Will a larger sample size ensure that the regulations are​ met?

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A nutrition lab tested
40
hot dogs to see if their mean sodium content was less than the
325​-mg
upper limit set by regulations for​ "reduced sodium" franks. The mean sodium content for the sample was
321.9
mg with a standard deviation of
17
mg. Assume that the assumptions and conditions for the test are met.
​a) Test the hypothesis that the mean sodium content meets the regulation.
​b) Will a larger sample size ensure that the regulations are​ met?
 
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