Question
Let's analyze the inventory sampling data Amazon collected after the implementation of cardboard dividers. In particular, let's construct confidence intervals to estimate the true inventory
Let's analyze the inventory sampling data Amazon collected after the implementation of cardboard dividers. In particular, let's construct confidence intervals to estimate the true inventory defect rate for each of the three different storage types at the warehouse. One of these storage types uses the cardboard divider.
Amazon sampled 5,000 observations from each of the three different storage types and recorded "1" if there was a defect in the bin and "0" if there was not. The mean defect rate and standard deviation for each storage type are provided below.
Using a 95% confidence level, calculate your best estimate of the true defect rate of storage type 1.
Storage Type 1 Storage Type 2 Storage Type 3
Mean 0.0298 0.0326 0.0586
Standard Deviation 0.1701 0.1776 0.2349
Sample Size 5,000 5,000 5,000
Lower Bound 2.51%
Upper Bound 3.45%
Based on this analysis, what can you conclude about the true inventory defect rate of storage type 1?
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