Question 866322: A nutrition lab tests 60 reduced fat hit dogs. This sample produces a mean of 318 mg of sodium, and the standard deviation is 32 mg.
a) What is the standard error for the mean sodium content?
b) Find and interpret a 95 confidence interval.
c) Food labeling regulations require that any food identified as "reduced sodium" must have at least 30% less sodium than it's regular counterpart. If regular franks average 465 mg of sodium, should this brand be labeled "reduced"? Explain using your confidence interval.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
mean of 318 mg of sodium, and the standard deviation is 32 mg.
n = 60
a) SE = 32/sqrt(60)= 4.1312
b) ME = 1.96(4.1312) = 8
CI: 318-8 < u < 318 + 8 (310, 336)
c) .7(465) = 325.5, Yes reduced. It is in the confidence Interval
CI z -value
90% z =1.645
92% z = 1.751
95% z = 1.96
98% z = 2.326
99% z = 2.576
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