SOLUTION: 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 s

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

 

RELATED QUESTIONS

The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave... (answered by Boreal)
The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave... (answered by stanbon)
1- A survey is being planned to determine the mean amount of time corporation executives... (answered by ewatrrr)
The average number of
milligrams (mg) of sodium in a certain brand of low-salt... (answered by Boreal)
The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle.... (answered by Boreal)
How do I compute the implied DV for sodium in soda?  

For exmaple, a nutrition label... (answered by tutorcecilia)
Please help

An experimental egg farm is raising chickens to produce low cholesterol... (answered by stanbon)
How much sugar is in a cookie with reduced sugar? 
A random sample of 20 reduced-sugar... (answered by stanbon)
A laboratory claims that the mean sodium level, μ, of a healthy adult is 140 mEq per... (answered by Boreal)