1. the population of interest is\n - the weights of the bags of chips\n - all bags of chips filled by the…

1. the population of interest is\n - the weights of the bags of chips\n - all bags of chips filled by the machines\n - the average weights of the bags of chips\n - all potato - chip companies\nthe variable of interest is\n - bags of chips\n - does the bag weigh 20 ounces? (yes/no)\n - 20 ounces\n - weight (in ounces)\nis the variable categorical or quantitative?\n - quantitative\n - categorical\nwhat are the units of the variable?\n - 20 ounces\n - weights\n - ounces\n2. a. the sample size is\n - large\n - small\nthe study is an\n - experiment\n - observational study\nthe sample consists of\n - all bags of chips made by the company\n - 16 weights of bags of chips\n - the weights of all bags of chips made by the company\n - 16 bags of chips\nb. the sample mean is\n - 19.80\n - 20.10\n - 19.76\n - 19.45\nthe sample standard deviation is\n - 0.168\n - 0.439\n - 0.843\n - 0.357\nc. what is the shape of the sample distribution?\n - roughly symmetric\n - strongly left - skewed\n - strongly right - skewed\nare there outliers in the sample distribution?\n - no\n - yes

1. the population of interest is\n - the weights of the bags of chips\n - all bags of chips filled by the machines\n - the average weights of the bags of chips\n - all potato - chip companies\nthe variable of interest is\n - bags of chips\n - does the bag weigh 20 ounces? (yes/no)\n - 20 ounces\n - weight (in ounces)\nis the variable categorical or quantitative?\n - quantitative\n - categorical\nwhat are the units of the variable?\n - 20 ounces\n - weights\n - ounces\n2. a. the sample size is\n - large\n - small\nthe study is an\n - experiment\n - observational study\nthe sample consists of\n - all bags of chips made by the company\n - 16 weights of bags of chips\n - the weights of all bags of chips made by the company\n - 16 bags of chips\nb. the sample mean is\n - 19.80\n - 20.10\n - 19.76\n - 19.45\nthe sample standard deviation is\n - 0.168\n - 0.439\n - 0.843\n - 0.357\nc. what is the shape of the sample distribution?\n - roughly symmetric\n - strongly left - skewed\n - strongly right - skewed\nare there outliers in the sample distribution?\n - no\n - yes

Answer

Explanation:

Step1: Identify population

The population of interest is all the items we want to study. Here, it's all bags of chips filled by the machines as we are interested in the weights of bags of chips filled by these machines.

Step2: Identify variable

The variable of interest is what we are measuring or observing. Since we are concerned with how much each bag of chips weighs, the variable is Weight (in ounces).

Step3: Determine variable type

Weight is a numerical value that can be measured and has a meaningful order and arithmetic operations can be performed on it, so it is a quantitative variable.

Step4: Identify variable units

The units of weight in this context are ounces.

Step5: Analyze sample - size

There is no information given about the size being large or small in a relative sense, so we can't determine this precisely from the given text.

Step6: Determine study type

There is no indication of any manipulation or treatment being applied, so it is an observational study.

Step7: Identify sample

The sample consists of 16 bags of chips (assuming this is given from the context not fully shown in the provided text).

Step8: Calculate sample - related statistics

There is no data provided to calculate the sample mean and standard deviation, so we assume these values are given in the options. If we had data, we would use the formulas $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$ for the sample mean and $s=\sqrt{\frac{\sum_{i=1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}}$ for the sample standard deviation.

Step9: Determine sample - distribution shape

Without data, we can't determine the shape precisely, but if we assume normal - like behavior (since no other information is given), we might say roughly symmetric. And without data analysis for outliers (using methods like the 1.5 * IQR rule), we can't say for sure if there are outliers.

Answer:

  1. The population of interest is: All bags of chips filled by the machines The variable of interest is: Weight (in ounces) Is the variable categorical or quantitative? Quantitative What are the units of the variable? Ounces
  2. a. The sample size: (Can't be determined precisely from given text) The study is an: Observational study The sample consists of: 16 bags of chips b. (Sample - mean and standard - deviation can't be calculated without data, assume given in options) c. The shape of the sample distribution: (Can't be determined precisely without data, assume roughly symmetric) Are there outliers in the sample distribution? (Can't be determined without data)