/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 47 The paper "College Students' Soc... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The paper "College Students' Social Networking Experiences on Facebook" (Journal of Applied Developmental Psychology [2009]: 227-238) summarized a study in which 92 students at a private university were asked how much time they spent on Facebook on a typical weekday. The researchers were interested in estimating the average time spent on Facebook by students at this university.

Short Answer

Expert verified
Without individual time data for all 92 students, we can't calculate the average time spent on Facebook by students at this university.

Step by step solution

01

Identification of Given Data

Identify that 92 students were involved in the study and each student's daily time spent on Facebook is recorded. However, the individual times are not given in the exercise.
02

Recognize the Problem

Here it can be recognized that the problem is about finding the average time spend on Facebook. But we can't solve this problem directly without specific time data for each student.
03

Hypothetically Solve the Problem

Assume we have time data for each of the 92 students. To calculate mean or average, one has to sum up all individual times and then divide this total by the number of students (92 in this case). This hypothetical solution procedure gives an insight on how to solve the problem if data was provided.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Mean Calculation
The concept of mean calculation is at the heart of understanding average values in data sets. When we refer to the mean, we are discussing a measure of central tendency, which gives us the typical amount in a batch of numbers. Calculating the mean is straightforward. Sum all the values you want to average, then divide by the count of values. In mathematical terms, if you have data values like 1, 2, and 3, your mean is calculated as \( \frac{1+2+3}{3} = 2 \). This calculation helps us understand the typical time a student might spend on Facebook based on the survey results.

In the exercise given, we are unable to calculate the mean directly due to missing individual data. However, the methodological approach remains the same. If individual time data were available for the 92 students surveyed, we would add these times together and divide by 92 to find the mean time spent on Facebook on a typical weekday.
Understanding Sample Survey
A sample survey involves collecting data from a subset of a larger population to infer insights about the population. This approach is particularly useful when it's impractical to gather data from everyone, such as all university students. Sample surveys are designed to be representative of the population as a whole and are a crucial part of research methodology.

In the study mentioned, 92 students formed a sample representing the entire student population of a university. The idea is that this smaller grouping reflects the broader community. Conducting a sample survey allows researchers to gather valuable insights, like estimating average Facebook usage, without needing to ask every student at the university. It’s important that the students in the sample are chosen carefully to avoid bias and ensure reliable and valid results.
Introduction to Estimation
Estimation is the process of finding an approximate value that is reasonable enough given the data available. It helps in making predictions or informed guesses about a population using sample data. In statistics, estimation often involves determining a parameter of the population, like the mean, with a given level of confidence.

In this scenario, even though we do not have individual time data, the researchers' objective was to estimate the average time spent by all students using data from the 92-sample subset. Such estimation would typically involve statistical tools and assumptions, like using the sample mean as an estimator of the population mean. Importantly, estimation allows researchers to draw conclusions even with partial data availability, assuming the sample is representative of the intended population.

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Most popular questions from this chapter

In a survey of 1,000 women ages 22 to 35 who work full-time, 540 indicated that they would be willing to give up some personal time in order to make more money (USA Today, March 4, 2010). The sample was selected to be representative of women in the targeted age group. a. Do the sample data provide convincing evidence that a majority of women ages 22 to 35 who work fulltime would be willing to give up some personal time for more money? Test the relevant hypotheses using \(\alpha=0.01\) b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.

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According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults said they would not be bothered if the National Security Agency collected records of personal telephone calls. Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level.

A county commissioner must vote on a resolution that would commit substantial resources to the construction of a sewer in an outlying residential area. Her fiscal decisions have been criticized in the past, so she decides to take a survey of residents in her district to find out if they favor spending money for a sewer system. She will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure. What hypotheses should she test?

The article "Poll Finds Most Oppose Return to Draft, Wouldn't Encourage Children to Enlist" (Associated Press, December 18,2005 ) reports that in a random sample of 1,000 American adults, 700 indicated that they oppose the reinstatement of a military draft. Suppose you want to use this information to decide if there is convincing evidence that the proportion of American adults who oppose reinstatement of the draft is greater than two-thirds. a. What hypotheses should be tested in order to answer this question? b. The \(P\) -value for this test is \(0.013 .\) What conclusion would you reach if \(\alpha=0.05 ?\)

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