a large bakery produces cakes in an assembly line. sergio noticed a potential defect that seems to be…

a large bakery produces cakes in an assembly line. sergio noticed a potential defect that seems to be showing in every other cake. he decides that in the next production run, hell take a random sample of cakes to get a better idea of how many cakes might have this defect. why might sergio choose a simple random sample instead of a systematic random sample? choose all answers that apply: a if the defect is in every other cake, a systematic random sample could miss it completely depending on what sergio chooses for k. b a simple random sample can save time since it is less involved than a systematic random sample. c a simple random sample guarantees that sergio will get some cakes from each hour of production.

a large bakery produces cakes in an assembly line. sergio noticed a potential defect that seems to be showing in every other cake. he decides that in the next production run, hell take a random sample of cakes to get a better idea of how many cakes might have this defect. why might sergio choose a simple random sample instead of a systematic random sample? choose all answers that apply: a if the defect is in every other cake, a systematic random sample could miss it completely depending on what sergio chooses for k. b a simple random sample can save time since it is less involved than a systematic random sample. c a simple random sample guarantees that sergio will get some cakes from each hour of production.

Answer

Brief Explanations:

  • Option A: In systematic - random sampling with a sampling interval (k), if the defect pattern aligns in a way that the selected items based on (k) skip the defective ones, the defect can be missed. For example, if (k = 2) and the defect is in every other cake, it depends on the starting point.
  • Option B: Simple random sampling is generally less complex and can be quicker to implement as it doesn't require setting up a sampling interval like in systematic - random sampling.
  • Option C: There is no guarantee in simple random sampling that cakes from each hour of production will be selected. It is just a random selection from the entire population.

Answer:

A. If the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for (k). B. A simple random sample can save time since it is less involved than a systematic random sample.