Question

A nail manufacturer throws out nails with lengths that are not within 0.05 inch of the mean of the batch. The lengths (in inches) of the nails in a batch are 0.42 0.53 0.55 0.48 and 0.51 which nails should be thrown out

Answer 1

Answer:

0.42  & 0.55

Step-by-step explanation:

Mean length =  0.42 + 0.53+ 0.55 + 0.48 + 0.51/5

                     =  0.498

0.42 -  0.498  =   - 0.078‬    

0.53 -  0.498  =     0.032‬

0.55 -  0.498  =     0.052‬

0.48 - 0.498  =    - 0.018‬

0.51  - 0.498  =      0.012‬

The nails to be thrown out are:

0.42  & 0.55 because their deviations from the mean are not within 0.05 inch