Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europre before the holidays. Howeverm you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad. A) What is the minimum number of legos that must be sampled in order for the statistics to be trusthworth? B) Suppose you sampled 1400 legos and 1.5% of them were bad. Create a 99% confidence interval around this sample. C) Inerpret this confidence interval in the context of this problem. Answer should include the word legos and batch.
Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europre before the holidays. Howeverm you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad.
A) What is the minimum number of legos that must be sampled in order for the statistics to be trusthworth?
B) Suppose you sampled 1400 legos and 1.5% of them were bad. Create a 99% confidence interval around this sample.
C) Inerpret this confidence interval in the context of this problem. Answer should include the word legos and batch.
To find,
A) What is the minimum number of legos that must be sampled in order for the statistics to be trusthworth?
B) Suppose you sampled 1400 legos and 1.5% of them were bad. Create a 99% confidence interval around this sample.
C) Inerpret this confidence interval in the context of this problem. Answer should include the word legos and batch.
a)
Answer:
From the observed data,
we are using 99% confidence level
Z score at 99 % confidence level = 2.58
Margin of error =
The minimum number of legos that must be sampled in order for the statistics to be trusthworth is 16590
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