Answer:
We can calculate limits required with the condition of 2 deviations from the mean and we got:
[tex] Lower = \mu -2*\sigma = 20.7 -2*4.5 = 11.7[/tex]
If a value is lower than 11.7 we can consider it as too low
[tex] Upper = \mu +2*\sigma = 20.7 +2*4.5 = 29.7[/tex]
If a value is Higher than 29.7 we can consider it as too high
Step-by-step explanation:
For this case we know the following info:
[tex]\mu = 20.7[/tex] represent the mean
[tex]\sigma = 4.5[/tex]
And we want to find scores that are significantly low or significantly high
We can calculate limits required with the condition of 2 deviations from the mean and we got:
[tex] Lower = \mu -2*\sigma = 20.7 -2*4.5 = 11.7[/tex]
If a value is lower than 11.7 we can consider it as too low
[tex] Upper = \mu +2*\sigma = 20.7 +2*4.5 = 29.7[/tex]
If a value is higher than 29.7 we can consider it as too high