SOLUTION: Suppise you are told that a 95% confidence interval for the average price of gasoline in your state is from $3.37 to $3.89. Use the fact that the confidence interval for the mean

Algebra.Com
Question 1060766: Suppise you are told that a 95% confidence interval for the average price of gasoline in your state is from $3.37 to $3.89. Use the fact that the confidence interval for the mean is in the former x -E to x + E to compute the sample mean and the maximal margin of error E
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Suppise you are told that a 95% confidence interval for the average price of gasoline in your state is from $3.37 to $3.89. Use the fact that the confidence interval for the mean is in the former x -E to x + E to compute the sample mean and the maximal margin of error E
Since the LOWER and UPPER LIMITs of the confidence interval are: $3.37, and $3.89, respectively, we can say that:
x - E = 3.37 ------ eq (i)
x + E = 3.89 ------ eq (ii)
2x = 7.26 ------ Adding eqs (ii) & (i)
x, or
3.63 - E = 3.37 ------ Substituting 3.63 for x in eq (i)
- E = 3.37 - 3.63
- E = - .26
E, or

RELATED QUESTIONS

Need help with Margin of Error Suppose you are told that a 95% confidence interval for (answered by stanbon)
I am in need of help please. Suppose you are told that a 95% confidence interval for... (answered by jim_thompson5910)
Any help on this is appreciated: You were interested in how long the average... (answered by ewatrrr)
I need some serious help please! Find the appropriate confidence interval for the... (answered by stanbon)
Joe, a manager at a hamburger chain, wants to estimate a 95% confidence interval for the... (answered by Boreal)
A recent survey of 800 randomly selected households in the United States found that... (answered by stanbon)
Suppose a study reports that the average price for a gallon of self-serve regular... (answered by ikleyn)
#1 You want to determine a confidence interval with a confidence level of 95% And... (answered by Boreal)
Can you please look over my work? I am unsure. Thanks! You were interested in how... (answered by Fombitz)