Question

Part 2. Identify the population, sample, variable of interest, and statistic. Specify if the variable is qualitative or quantitative. Give the level of measurement. 1. A daily newspaper reports that t

Answer 1

The population is the total readership of the daily newspaper. The sample is the subset of readers who responded to the survey. The variable of interest is the time spent reading the newspaper daily, which is quantitative. The statistic provided in the newspaper report is the mean time spent reading the newspaper daily.

Step-by-step explanation:

In this scenario, the population refers to the entire readership of the daily newspaper, encompassing all individuals who have access to and read the newspaper.

The sample is a smaller group within the population, specifically those readers who participated in the survey. The variable of interest is the time spent reading the newspaper daily, which is a quantitative variable since it involves measuring the amount of time.

To calculate the mean time spent reading the newspaper daily, one would add up the time spent by each respondent and divide the total by the number of respondents. Mathematically, this can be represented as:

`\[ \text{Mean Time} = \frac{\text{Sum of individual reading times}}{\text{Number of respondents}} \]`

For instance, if three respondents spent 30, 45, and 60 minutes reading the newspaper daily, the mean time would be calculated as:

`\[ \text{Mean Time} = (30 + 45 + 60)/(3) = (135)/(3) = 45 \text{ minutes} \]`

Therefore, the mean time spent reading the newspaper daily for the given sample would be 45 minutes.

In conclusion, the provided statistic in the newspaper report, in this case, is the mean time spent reading the newspaper daily, and it is derived from the sample of respondents, representing a subset of the total readership population.