# Math

posted by .

Crunchy Corn Chips are packaged in bags labeled "net weight 10 ounces." In fact, the weight of a bag of Crunchy Corn Chips follows a normal distribution with mean ì ounces and standard deviation ó ounces. Worried about customer complaints and potential lawsuits, the manufacturers decided that no more than 0.5% of bags of Crunchy Corn Chips should be underweight. There are two possible adjustments that can be made: change the mean setting on the filling machines while leaving the standard deviation constant, or leave the mean at 10.4 ounces and try to adjust the standard deviation of 0.26 ounces. Describe the necessary adjustments under each of these two plans. Which do you think is more feasible? Explain.

• Math -

Stephanie
Here is a really neat applet that will take the place of your z-score tables

http://davidmlane.com/hyperstat/z_table.html

You can experiment with both graphs.
Since you want .5% of the bags to be underweight, you are looking for an
"area" of .495 (I took .5 - .005)

On the second graph, enter 0.495 in the area
and 10.4 and .26 into the mean and sd boxes.
click on "below"
Change the mean and sd entries and see what happens.

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To determine the content structure and analyze the text passage, I will follow the steps outlined:

1. **Identify the presence of a mathematical question:**
   - The passage describes a scenario involving the weight distribution of bags of Crunchy Corn Chips and asks for adjustments to ensure that no more than 0.5% of the bags are underweight. This involves statistical calculations and adjustments to the mean and standard deviation.

2. **Identify if an answer is provided:**
   - The passage does not provide a direct answer to the question. It suggests using an applet to experiment with the mean and standard deviation but does not give a specific solution.

**Content Structure:**
The passage presents a statistical problem involving the weight distribution of corn chip bags and asks for adjustments to the mean and standard deviation to meet a specific requirement. It suggests using a tool to experiment with the values but does not provide a final answer.

**Analysis:**
single_question

the passage contains a single mathematical question about adjusting the mean and standard deviation of the weight distribution of corn chip bags to ensure that no more than 0.5% of the bags are underweight. however, it does not provide a direct answer to this question.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Math

posted by .

Crunchy Corn Chips are packaged in bags labeled "net weight 10 ounces." In fact, the weight of a bag of Crunchy Corn Chips follows a normal distribution with mean ì ounces and standard deviation ó ounces. Worried about customer complaints and potential lawsuits, the manufacturers decided that no more than 0.5% of bags of Crunchy Corn Chips should be underweight. There are two possible adjustments that can be made: change the mean setting on the filling machines while leaving the standard deviation constant, or leave the mean at 10.4 ounces and try to adjust the standard deviation of 0.26 ounces. Describe the necessary adjustments under each of these two plans. Which do you think is more feasible? Explain.

• Math -

Stephanie
Here is a really neat applet that will take the place of your z-score tables

http://davidmlane.com/hyperstat/z_table.html

You can experiment with both graphs.
Since you want .5% of the bags to be underweight, you are looking for an
"area" of .495 (I took .5 - .005)

On the second graph, enter 0.495 in the area
and 10.4 and .26 into the mean and sd boxes.
click on "below"
Change the mean and sd entries and see what happens.

## Similar Questions

1. ### statistics

worried about customer complaints and potential lawsuits, the manufacterers decided that no more than o.5% of bags of Crunchy corn chips should be underweight. there are 2 possible adjustments that can be made; change the mean setting …
2. ### math

The amount of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distrubution with a mean of 12.5 ounces and a standard deviation of 0.2 ounces. What porportion of the 12 ounce …
3. ### statistics

The weight of corn chips dispensed into a 19-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 19.5 ounces and a standard deviation of 0.1 ounce. Suppose 100 bags of chips are …
4. ### statistics

The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.1 ounce. Suppose 400 bags of chips were …
5. ### Finance

1) A potato chip manufacturer has been accused of shortchanging their customers with their 10-ounce bags of potato chips. A sample of 50 of that company’s 10-ounce bags was taken, and it was found that the average weight was 9.8 …
6. ### math

a potato chip manufacturer has been accused of shortchanging their customers with 10 ouce of bags potato chips. a sample of 50 of that company's 10 ounce bags was take, and it was found that the average weight was 9.8 ounces with a …
7. ### Statistics

The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of 0.5 ounces. -The probability that a bag of corn chips weighs more than 21 ounces is?
8. ### stats

Buckley Farms ships its chips in boxes that contain 6 bags. The empty boxes have a mean weight of 10 ounces and a standard deviation of 0.05 ounces. Calculate the mean and standard deviation of the total weight of a box containing …
9. ### stats

Buckley Farms produces homemade potato chips that it sells in bags labeled 16 ounces. The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces. a)If …
10. ### Statistics

Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 7.0 ounces and a standard deviation of 1.3 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 36 ounces. Here we determine …

More Similar Questions
user
To determine the content structure and analyze the text passage, I will follow the steps outlined:

1. **Identify the presence of a mathematical question:**
   - The passage describes a scenario involving the weight distribution of bags of Crunchy Corn Chips and asks for adjustments to ensure that no more than 0.5% of the bags are underweight. This involves statistical calculations and adjustments to the mean and standard deviation.

2. **Identify if an answer is provided:**
   - The passage does not provide a direct answer to the question. It suggests using an applet to experiment with the mean and standard deviation but does not give a specific solution.

**Content Structure:**
The passage presents a statistical problem involving the weight distribution of corn chip bags and asks for adjustments to the mean and standard deviation to meet a specific requirement. It suggests using a tool to experiment with the values but does not provide a final answer.

**Analysis:**
TYPE: SINGLE_QUESTION

The passage contains a single mathematical question about adjusting the mean and standard deviation of the weight distribution of corn chip bags to ensure that no more than 0.5% of the bags are underweight. However, it does not provide a direct answer to this question.