Subjects statistics

Wait Time Variability 504E19

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1. **State the problem:** We are comparing the variability of wait times at two stores, Gap and Old Navy. Both have the same average wait time of 5 minutes, but different standard deviations: 2 minutes for Gap and 5 minutes for Old Navy. 2. **Recall the meaning of standard deviation:** Standard deviation measures how spread out the data is around the mean. A higher standard deviation means more variability. 3. **Interpret the standard deviations:** - Old Navy's standard deviation is 5 minutes, which is higher than Gap's 2 minutes. - This means wait times at Old Navy vary more widely from the average. 4. **Answer the questions:** - Because Old Navy has a higher standard deviation, there is **more variability** in the wait times at Old Navy. - Overall, wait times at Old Navy are **more spread out** from the average. - Wait times at the Gap are **closer** to the average. **Final answers:** - More variability - More spread out - Closer