A nutrition lab tested 40 randomly selected hot dogs to see if their mean sodium content...

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A nutrition lab tested 40 randomly selected hot dogs to see iftheir mean sodium content was less than 325mg upper limit set byregulations for "reduced sodium" franks. The sample yielded a meanof 322 mg with a standard deviation of 11.5 mg.
A) To construct a confidence interval, would you use a z-chartor a t-chart? why?
B) Construct a 90% confidence interval for for estimating themean sodium content for "reduced sodium" hot dogs. Interpret theconfidence interval in a sentence.
C) Test the claim that the mean sodium level for the "reducedsodium" hot dogs is less than the limit of 325mg. Use asignificance level of 0.05.
D) Does the confidence interval support the conclusion of thehypothesis test? Explain.

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4.1 Ratings (640 Votes)

A As a thumb rule we use t critical values wheni The sample size n is 30 and the population standarddeviation is known and it is not mentioned that the samples arenormally or approximately distributed the population will benormally or approximately normally distributedii The sample size is n is 30 but population standarddeviation is See Answer

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