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Question
suppose that we are studying the amount of time customers wait in line at the checkout at the gap and old navy. the average wait time at both stores is five minutes. at the gap, the standard deviation for the wait time is 2 minutes; at old navy the standard deviation for the wait time is 5 minutes. because old navy has a higher standard deviation, we know that there is select an answer in the wait times at old navy. overall, wait times at old navy are select an answer wait times at the gap are select an answer near the average. question help: message instructor
- Standard deviation measures the amount of variation or dispersion in a set of data values. A higher standard deviation means there is more variation in the data. Since Old Navy has a higher standard deviation (5 minutes) than the Gap (2 minutes), there is more variation in the wait times at Old Navy.
- For the second part, when a dataset has a higher standard deviation, its values are more spread out from the mean (average), so overall, wait times at Old Navy are more spread out (or have more variation) and wait times at the Gap are more concentrated (or have less variation) near the average. So the first blank (about Old Navy's wait time variation) should be "more variation", the second comparison (Old Navy wait times compared to Gap) would be "more spread out" (but from the options related to variation relative to the average, since Gap has lower standard deviation, Gap's wait times are more near the average, so Old Navy's are less near? Wait, no, the third blank: "wait times at the Gap are [ ] near the average". Since Gap has lower standard deviation, its data is more clustered around the mean, so Gap's wait times are more near the average. So the third blank would be "more" (but the options for the first select (the first blank) is between "more variation" and "less variation", the second select (overall Old Navy wait times vs Gap) and third (Gap's near average). Wait, let's re - read:
"Because Old Navy has a higher standard deviation, we know that there is [Select an answer] in the wait times at Old Navy. Overall, wait times at Old Navy are [Select an answer] wait times at the Gap are [Select an answer] near the average."
First blank: Standard deviation is a measure of variation. Higher standard deviation means more variation. So first blank: "more variation".
Second part: Old Navy has more variation, so its wait times are more spread out (so "more variable" or in terms of being near the average: since Gap has less variation, Gap's wait times are more near the average, so Old Navy's are less near? Wait, the third blank is "wait times at the Gap are [ ] near the average". Since Gap has lower standard deviation, its data points are closer to the mean (average), so Gap's wait times are more near the average. So the third blank is "more", and the second part: "Overall, wait times at Old Navy are [less near the average] (but the options for the second select? Wait, maybe the second select is about how Old Navy's wait times compare to Gap's in terms of being near the average. Since Old Navy has more variation, its wait times are less near the average, and Gap's are more near the average.
But the first select (the first blank) has options "more variation" and "less variation". So first blank: "more variation".
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First "Select an answer" (the first blank): more variation
Second "Select an answer" (comparing Old Navy to Gap in terms of being near average): less near (but if the options for the second and third are related, but from the given dropdown for the first select, the answer for the first blank is "more variation".