SOLUTION: A random sample of 36 widgets from a recent batch had an average weight of 5 pounds. The standard deviation of the population of widgets is known to be 0.6 pounds. What is the lo

Question 1141973: A random sample of 36 widgets from a recent batch had an average weight of 5 pounds. The standard deviation of the population of widgets is known to be 0.6 pounds. What is the lower limit of a 90% confidence interval based on this data? Use three decimal places in your answer
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z value since sd is known
half-interval is z(0.95)*sigma/sqrt(n)=1.645*0.6/6=0.1645
CI is mean +/-half-interval and mean is the point estimate or 5 pounds
(4.835, 5.165) units pounds
answer is 4.835 pounds
RELATED QUESTIONS
Two growth hormones are being considered. A random sample of 10 rats was given the first... (answered by stanbon)

A random sample of 33 adult men had a mean weight of 182.5 pounds and a standard... (answered by ewatrrr)

Fred�s Widget Company wants to make sure his widgets are within the weight tolerances he... (answered by stanbon)

Fifteen (15) widgets are randomly taken from an assembly line and measured for quality... (answered by stanbon)

1.Due to the sharp increase in the prices of urban properties over the last five years,... (answered by greenestamps)

assume that a school district has 10,000 6th graders. in the district, the average weight (answered by stanbon)

WidgCo is a company that manufactures widgets. It is known that 1 out of every 56 widgets (answered by ikleyn)

A fish stall owner at a market place claims that the weight of a catfish he is selling is (answered by Theo)