The percent mistake needs to be smaller than 3% in order for bolt to be included in the box. The bolt ought to go inside the package because the percent mistake is 2.17%, that's less than 3%.
The difference between an actual value and also an estimate, or approximate, representation of that value is known as error in applied mathematics. The discrepancy between the mean of both the entire population and also the mean of a sample taken from that population is a frequent example in statistics.
Labeled diameter on the bolt = 0.45 inch
The observed diameter of the bolt= 0.46 inch
[tex]$\text { Percentage Error }=\left|\frac{\text { labeled value-Observedvalue }}{\text { Observed value }}\right| \times 100 \%$[/tex]
[tex]$\text { Percentage Error }=\left|\frac{0.45-0.46}{0.46}\right| \times 100 \%=2.17 \%$[/tex]
The percent mistake needs to be smaller than 3% in order for bolt to be included in the box. The bolt ought to go inside the package because the percent mistake is 2.17%, that's less than 3%.
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The complete question is-
The label on a package of bolts says each bolt has a diameter of 0.45 inch. To be in the package, the percent error of the diameter must be less than 3%. One bolt has a diameter of 0.46 inch. Should it go in the package?