Show transcribed image text Big Bang Corporation produces shotgun shells in batches of 300. A sample of 10 is tested from each batch. If more than one defect is found in the sample, the entire batch is tested. The quality control expert at Big Bang Corporation knows from past experience that when production is running smoothly 1% of the shells are actually defective. Use this information and probability and statistics to determine the following: A) Determine the standard deviation of the number of defective shells in the sample and interpret its meaning Would you expect to find 1 or more bad shells in your sample on a regular basis? Why or why not? Determine the number of shells you would have to include in the sample for the expected number B) C) of defective shells to be 1. D) Why do you think Big Bang Corporation tests a sample of only 10 shells? E) Why do you think the Big Bang Corporation has a policy of testing the entire batch (i.e. all 300) if more than 1 defect is found in the sample of 10?

Big Bang Corporation produces shotgun shells in batches of 300. A sample of 10 is tested from each batch. If more than one defect is found in the sample, the entire batch is tested. The quality control expert at Big Bang Corporation knows from past experience that when production is running smoothly 1% of the shells are actually defective. Use this information and probability and statistics to determine the following: A) Determine the standard deviation of the number of defective shells in the sample and interpret its meaning Would you expect to find 1 or more bad shells in your sample on a regular basis? Why or why not? Determine the number of shells you would have to include in the sample for the expected number B) C) of defective shells to be 1. D) Why do you think Big Bang Corporation tests a sample of only 10 shells? E) Why do you think the Big Bang Corporation has a policy of testing the entire batch (i.e. all 300) if more than 1 defect is found in the sample of 10?