A machine that is programmed to package 1.20 pounds of cereal is being tested fo
ID: 3150071 • Letter: A
Question
A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. It can be assumed that filling weights are normally distributed with a population standard deviation of 0.06 pound. Use a T-Table.
Identify the relevant parameter of interest for these quantitative data.
a OR b??
Compute the point estimate as well as the margin of error with 95% confidence. (Round intermediate calculations to 4 decimal places. Round "z" value and final answers to 2 decimal places.)
Calculate the 95% confidence interval. (Use rounded margin of error. Round your answers to 2 decimal places.)
Can we conclude that the packaging machine is operating improperly?
How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence? (Round intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and round up your final answer to the next whole number.)
A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. It can be assumed that filling weights are normally distributed with a population standard deviation of 0.06 pound. Use a T-Table.
Explanation / Answer
# we will use minitabsoftware to make the answer #
Identify the relevant parameter of interest for these quantitative data.
a OR b??
a) The parameter of interest is the average filling weight of all cereal packages.
Compute the point estimate as well as the margin of error with 95% confidence.
point estimate=1.22
margin of error=0.02=E(say)
Calculate the 95% confidence interval.
hence the 95% CI is
(1.22-E,1.22+E)=(1.2,1.24)
Can we conclude that the packaging machine is operating improperly?
No, since the confidence interval contains the target filling weight of 1.20.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.