Homework SourseCalculate the 99 percent confidence interval for the true me
Calculate the 99 percent confidence interval for the true mean metal thickness. (Round your answers to 4 decimal places.)
| The Ball Corporation\'s beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation = 0.000952 mm. If a random sample of 59 sheets of metal resulted in an |
Solution
Note that
Margin of Error E = z(alpha/2) * s / sqrt(n)
Lower Bound = X - z(alpha/2) * s / sqrt(n)
Upper Bound = X + z(alpha/2) * s / sqrt(n)
where
alpha/2 = (1 - confidence level)/2 = 0.005
X = sample mean = 0.3354
z(alpha/2) = critical z for the confidence interval = 2.575829304
s = sample standard deviation = 0.000952
n = sample size = 59
Thus,
Margin of Error E = 0.000319248
Lower bound = 0.335080752
Upper bound = 0.335719248
Thus, the confidence interval is
( 0.335080752 , 0.335719248 ) [ANSWER]
