A manufacturer of flea collars for animals that weigh less than 5 kilograms injects the collars with 15 milligrams of a biocide that only acts on fleas. The manufacturer will release a collar that has no less than 14 milligrams and no more than 16 milligrams of insecticide. The following list shows the result of sampling 36 collars from an actual production run of 720 collars.
17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13,
13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15
4. How many flea collars out of a production run of 720 collars would be acceptable to ship according to this sample?
5. How many flea collars out of a production run of 720 flea collars would have too much biocide and could not be shipped? Explain your reasoning.
i dont get it
why da so hard
ummm have no clue
um how so wait there is two questions so can someone help lol:)
720 = 36*20
so, count the good ones here and multiply by 20 to estimate the larger amount.
To answer these questions, we need to determine the acceptable range of biocide content based on the given sample, and then use that information to estimate the number of collars that meet the criteria for shipping.
1. Calculate the acceptable range:
The collars should contain between 14 and 16 milligrams of biocide, inclusive. Let's count the number of collars in the sample that fall within this range:
- There are 9 collars with 14 milligrams.
- There are 16 collars with 15 milligrams.
- There are 7 collars with 16 milligrams.
2. Add up the count of acceptable collars:
9 collars with 14 milligrams + 16 collars with 15 milligrams + 7 collars with 16 milligrams = 32 collars.
3. Estimate the number of acceptable collars for a production run of 720 collars:
If 36 collars were sampled out of a production run of 720 collars, we can estimate the number of acceptable collars by scaling up the count from the sample:
(32 / 36) * 720 ≈ 640
Therefore, approximately 640 flea collars out of a production run of 720 collars would be acceptable to ship according to this sample.
Now let's move on to the second question.
To determine how many flea collars have too much biocide and cannot be shipped, we need to count the collars in the sample that have more than 16 milligrams of biocide.
4. Count the number of collars with more than 16 milligrams:
- There are 3 collars with 17 milligrams.
Since only 3 collars in the sample have more than 16 milligrams of biocide, we can estimate that a similar ratio would hold in the production run.
5. Estimate the number of collars with too much biocide for a production run of 720 collars:
(3 / 36) * 720 ≈ 60
Therefore, approximately 60 flea collars out of a production run of 720 collars would have too much biocide and could not be shipped.
Note: These answers are estimations based on the given sample. The actual numbers may vary, but the sample provides a reasonable basis for estimation.