SOLUTION: A 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. This result is based on a sample of size 144. Construct the 95% confidence interval.

Algebra.Com
Question 1179095: A 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. This
result is based on a sample of size 144. Construct the 95% confidence interval. (Hint: you will first
need to find the sample mean and sample standard deviation).
I'm struggling to find the mean and the standard deviation of this question.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
x̄ - ME <  < x̄ + ME
A 99% confidence interval...
65.7 < μ < 67.3   | ME = (67.3-65.7)/2 = 1.6/2 = .8
x̄ = 66.5
ME =
 .8 = 
 (.8)(12) /2.576 = σ = 3.727

Construct the 95% confidence interval. 
ME = = 1.96*(3.727)/12 = .6 (rounded to nearest tenth)
x̄ - ME <  < x̄ + ME
66.5 - .6 <  < 66.5 +.6
  65.9  <  < 67.1
Wish You the Best in your Studies.
 = 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

Can someone please help me understand this question? A 99% confidence interval (in... (answered by stanbon)
You measure 49 textbooks' weights, and find they have a mean weight of 65 ounces. Assume... (answered by Boreal)
Sample values from a normal population is given here: 65 71 81 72 72 51 65 74 58 (answered by Theo)
A random sample of 16 female college-aged dancers showed a sample mean height 64.8 of... (answered by ewatrrr)
Playbill magazine reported that the mean annual household income of its readers is... (answered by rothauserc)
The sample data below have been collected based on a simple random sample from a normally (answered by ikleyn)
You measure 21 backpacks' weights, and find they have a mean weight of 45 ounces. Assume... (answered by Theo)
You measure 34 watermelons weights, and find they have a mean weight of 59 ounces.... (answered by Boreal)
You measure 26 textbooks' weights, and find they have a mean weight of 44 ounces. Assume... (answered by Boreal)