Answer :
Final answer:
The professor has sampled 55 students to estimate the mean number of study hours per week for all her students. The population refers to all the professor's students, while the sample is the 55 students surveyed. The professor uses the sample's mean study time to estimate the actual average study time of all students.
Explanation:
The subject of your question falls under the field of statistics, a branch of mathematics. In the given scenario, the professor is using a statistical technique known as sample survey. In this case, a simple random sample of 55 students is selected to estimate the average number of hours her students study per week. The mean (average) of 18 hours of study per week is derived from this sample.
In statistical language, the population is the total number of students the professor is interested in (i.e., all of her students), whereas the sample refers to the 55 students chosen for the survey. The parameter is the actual average study time of the whole student population, while the statistic is the average study time of the sample (18 hours in this case).
In this context, the professor uses the sample statistic (18 hours) to estimate the population parameter (actual average study time of all students). This is a common practice in statistics because it's often impractical or impossible to collect data from every individual in a population.
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