8.1 Estimation Using Normal

# 8 gm does it seem possible that the population mean

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Unformatted text preview: it seem possible that the population mean is 368 gm? probably Determine an interval estimate for the population mean based on an acceptable amount or margin of sampling error x ± margin of error σ Known Example Based on the sample, how will they determine whether or not the process is working? Recall sampling error, the difference between the sample mean and the population mean ◦ Is the sampling error an acceptable amount, or is the difference too large? Interval Estimation Ø E.g., if sample mean is 342.3 gm, does it seem possible that population mean is 368 gm? maybe not E.g., if sample mean is 365.8 gm, does it seem possible that the population mean is 368 gm? probably Determine an interval estimate for the population mean based on an acceptable amount or margin of sampling error x ± margin of error ◦ ◦ If desired population mean within the interval, then conclude process is working If desired population mean not within the interval, then conclude process is not working σ Known Example Based on the sample, how will they determine whether or not the process is working? Recall sampling error, the difference between the sample mean and the population mean ◦ Is the sampling error an acceptable amount, or is the difference too large? Interval Estimation Ø How do we find a reasonabl e margin of error? E.g., if sample mean is 342.3 gm, does it seem possible that population mean is 368 gm? maybe not E.g., if sample mean is 365.8 gm, does it seem possible that the population mean is 368 gm? probably Determine an interval estimate for the population mean based on an acceptable amount or margin of sampling error x ± margin of error ◦ ◦ If desired population mean within the interval, then conclude process is working If desired population mean not within the interval, then conclude process is not working σ Known Example How do we find a reasonable margin of error? x ± margin of error à Using Interval Estimation sampling distribution of the mean, we can find range of values for sample mean that are within a certain range of the population mean à Using similar method construct range of values for population mean… σ Known Example Oxford Cereals fills thousands of boxes of cereal during an 8-hour shift. The...
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## This document was uploaded on 03/05/2014.

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