The nutrition label for Oriental Spice Sauce states that one package of sauce has 1160 milligrams...
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1160 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 80 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1037.92 milligrams of sodium per package with a sample standard deviation of 267.98 milligrams.
Step 1 of 2 :
Calculate a 90% confidence interval for the mean sodium content in Oriental Spice Sauce.
Homework Answers
Answer:
Given,
degree of freedom = n - 1
= 80 - 1
= 79
alpha = 0.1
t(alpha/2 , df) = 1.664
90% CI = xbar +/- t*s/sqrt(n)
substitute values
= 1037.92 +/- 1.664*267.98/sqrt(80)
= 1037.92 +/- 49.86
= (988.06 , 1087.78)
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