Question
In: Statistics and Probability
A bottling plant needs to know how to report its success in filling 2-liter (2 L)...
A bottling plant needs to know how to report its success
in filling 2-liter (2 L) bottles. From previous work, they know
that the population standard deviation is ±0.05 L.
a. For this part, assume an “infinite” population.
They sample 35 bottles and obtain a sample mean of 1.99 L. For 95%
confidence, what is the estimate of the range of the population
mean?
b. For this part, assume an “infinite” population.
If they desire an estimate of the interval for the population mean
that is ±0.01 L, how many samples do they need to examine (with 95%
confidence).
c. If the population is 1000 bottles, redo part
“a.” Report the new estimate of the range of the population mean,
and the value for the FPC.
d. If the population is 1000 bottles, redo part
“b.” Report the new estimate of the number of samples needed and
the value for the FPC.
e. Why are your answers for parts “c” and “d”
different than for parts “a” and “b”? What is the implication of
this result?
Thanks for your help
Solutions
orchestra answered 1 year agoRelated Solutions
A bottling plant needs to know how to report its success in filling 2-liter (2 L)...
A bottling plant needs to know how to report its success
in filling 2-liter (2 L) bottles. From previous work, they know
that the population standard deviation is ±0.05 L.
a. For this part, assume an “infinite”
population. They sample 35 bottles and obtain a sample
mean of 1.99 L. For 95% confidence, what is the estimate of the
range of the population mean?
b. For this part, assume an “infinite”
population. If they desire an estimate of the interval...
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