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Invalidating only specimen H would decrease the standard deviation more than invalidating only specimen G.: True
Invalidating only specimen F would increase the standard deviation.: True
If specimens D and H were both invalidated, the standard deviation would increase: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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A materials-testing laboratory measured the compressive strength of 10 concrete specimens produced from the same mix. The table shows each specimen’s compressive strength and the difference between that strength and the average (arithmetic mean) strength of all 10 specimens.
After the tests were completed, one or more results may be invalidated because of testing errors. A new mean and a new standard deviation will then be calculated using only the results that remain valid.
For each of the following statements, select True if the statement is true based on the information provided. Otherwise, select False.
The OA will be automatically revealed on Friday 11th of September 2026 04:32:48 AM Pacific Time Zone
After the tests were completed, one or more results may be invalidated because of testing errors. A new mean and a new standard deviation will then be calculated using only the results that remain valid.
| Specimen | Compressive strength (MPa) | Difference from mean |
|---|---|---|
| A | 70 | -10 |
| B | 90 | 10 |
| C | 60 | -20 |
| D | 140 | 60 |
| E | 105 | 25 |
| F | 80 | 0 |
| G | 115 | 35 |
| H | 20 | -60 |
| I | 85 | 5 |
| J | 35 | -45 |
For each of the following statements, select True if the statement is true based on the information provided. Otherwise, select False.
| True | False | |
| Invalidating only specimen H would decrease the standard deviation more than invalidating only specimen G. | ||
| Invalidating only specimen F would increase the standard deviation. | ||
| If specimens D and H were both invalidated, the standard deviation would increase |
The OA will be automatically revealed on Friday 11th of September 2026 04:32:48 AM Pacific Time Zone
08 Sep 2026, 06:13
Kudos
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True
True
False
True
False
08 Sep 2026, 11:50
Kudos
Bookmarks
True.
Imagine the bell curve of SD. if you remove the farthest point, distance from mean would decrease. Hence SD would decrease.
True. Remove the mean spacing between values would increase.
False. Farthest points removed. Distance would decrease. SD would decrease.
Imagine the bell curve of SD. if you remove the farthest point, distance from mean would decrease. Hence SD would decrease.
True. Remove the mean spacing between values would increase.
False. Farthest points removed. Distance would decrease. SD would decrease.
