The manufacturer of kg jars of jam wants to fill the jars with a mean Weight of 1.045 kg and a standard deviation of 0.063 kg. (a) If these standards are being met, what is the probability that 4 randomly selected jars will have a mean fill weight of less than 1 kg? Assume fill weights are normally distributed. (b) As in (a), but calculate for (i) n= 10 and (ii) n= 25. The line is stopped and the equipment checked if the mean fill weight of 10 randomly (c) selected jars is less than 1.00 kg or if it exceeds 1.075 kg. What is the probability the line will be stopped if specifications are being met?
The manufacturer of kg jars of jam wants to fill the jars with a mean Weight of 1.045 kg and a standard deviation of 0.063 kg. (a) If these standards are being met, what is the probability that 4 randomly selected jars will have a mean fill weight of less than 1 kg? Assume fill weights are normally distributed. (b) As in (a), but calculate for (i) n= 10 and (ii) n= 25. The line is stopped and the equipment checked if the mean fill weight of 10 randomly (c) selected jars is less than 1.00 kg or if it exceeds 1.075 kg. What is the probability the line will be stopped if specifications are being met?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:The manufacturer of "1 kg" jars of jam wants to fill the jars with a mean weight of 1.045 kg and a
standard deviation of 0.063 kg.
(a)
If these standards are being met, what is the probability that 4 randomly selected jars will
have a mean fill weight of less than 1 kg? Assume fill weights are normally distributed.
As in (a), but calculate for (i) n = 10 and (ii) n = 25.
(b)
(c)
The line is stopped and the equipment checked if the mean fill weight of 10 randomly
selected jars is less than 1.00 kg or if it exceeds 1.075 kg. What is the probability the line will
be stopped if specifications are being met?
What is the probability the line will be stopped if the mean weight of 1.045 kg is maintained
(d)
but variability increases such that the population standard deviation is now 0.134 kg?
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