The nutrition lab in Chapter 17, Exercise 38 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 322.0 mg with a standard deviation of 18 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The nutrition lab in Chapter 17, Exercise 38 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 322.0 mg with a standard deviation of 18 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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