We want to find the range of accepted values for a given measure by knowing the expected value and the percentage that it is allowed to vary.
We will get that the range is:
237.5g to 262.5g
To get this, we need to use:
- Expected mass = 250g
- Percentage = 5%
This means that the expected mass can go 5% up or 5% down, so the thing we need to find now is the 5% of 250 grams.
We can write:
x = 5%
250 g = 100%
Now we can take the quotient of these two equations to get:
x/(250g) = (5%/100%)
x = (5%/100%)*250g = 12.5g
This means that the expected value can go up by 12.5 grams or down by 12.5 grams.
Then the minimum mass accepted is:
250g - 12.5g = 237.5g
While the maximum mass accepted is:
250g + 12.5g = 262.5g
Then the range is:
237.5g to 262.5g
If you want to learn more, you can read:
https://brainly.com/question/12838419
