A potato chip company wants to evaluate the accuracy of its potato chip bag filling machine. Bags are labeled as containing 8 ounces of potato chips. A simple random sample of 12 bags had a mean weight 8.12 ounces with a sample standard deviation of 0.1 ounce. Assuming the mean bag weights are normally distributed, construct a 99% confidence interval for the population mean weight of bags of potato chips.
What is the sample mean?
Options: 99, 8.12, 12, 8
What is the sample size?
Options: 12, 0.01, 8.12, 99
What is the sample standard deviation?
Options: 12, 0.029, 8.12, 0.1
What is the confidence level for this scenario?
Options: 95%, 80%, 90%, 99%
What is the lower bound of the confidence interval?
Options: 8.0456, 8.0565, 8.0303, 8.2097
What is the upper bound of the confidence interval?
Options: 8.2097, 8.1835, 8.1944, 8.0303
What is the error bound margin?
Options: 0.1794, 0.0744, 0.0635, 0.0897
What is the correct conclusion?
Options:
With 99% confidence, we estimate that the true population mean potato chip bag weights are between 8.0303 ounces and 8.2097 ounces.
With 99% confidence, we estimate that the true population mean potato chip bag weights are between 8.0565 ounces and 8.1835 ounces.
With 99% confidence, we estimate that the true population mean potato chip bag weights are between 8.0456 ounces and 8.1944 ounces.