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Chapter 1: Problem 90

Seven hundred and seventy-one distance learning students at Long Beach City College responded to surveys in the 2010-11 academic year. Highlights of the summary report are listed in Table 1.39. $$\begin{array}{|l|l|}\hline \text { Have computer at home } & {96 \%} \\\ \hline \text { Unable to come to campus for classes } & {65 \%} \\ \hline \text { Age 41 or over } & {24 \%} \\ \hline \text { Would like LBCC to offer more DL courses } & {95 \%} \\ \hline \text { Took D L classes due to a disability } & {17 \%} \\ \hline \text { Live at least 16 miles from campus } & {13 \%} \\ \hline \text { TTook DL courses to fulfill transfer requirements } & {71 \%} \\ \hline\end{array}$$ Table 1.39 LBCC Distance Learning Survey Results a. What percent of the students surveyed do not have a computer at home? b. About how many students in the survey live at least 16 miles from campus? c. If the same survey were done at Great Basin College in Elko, Nevada, do you think the percentages would be the same? Why?

Short Answer

Expert verified
a. 4% b. 100 students c. Percentages likely differ due to various factors.

Step by step solution

01

Calculate Students Without a Computer at Home

The survey shows that 96% of students have a computer at home. To find the percentage of students who do not have a computer at home, we subtract this percentage from 100%. \[ 100 ext{%} - 96 ext{%} = 4 ext{%} \] Thus, 4% of the students do not have a computer at home.
02

Calculate Number of Students Living at Least 16 Miles from Campus

The survey indicates that 13% of the students live at least 16 miles from campus. To find the number of students, calculate 13% of 771: \[ 0.13 \times 771 = 100.23 \] Since the number of students cannot be a fraction, we round 100.23 to the nearest whole number, getting 100 students.
03

Consider Similar Survey at Great Basin College

While considering a similar survey at Great Basin College in Elko, Nevada, it's important to note that percentages might differ due to variations in demographics, geography, and available facilities compared to Long Beach City College. Therefore, it's unlikely that the percentages would be the same.

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Key Concepts

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

Survey Analysis
Survey analysis involves studying collected data to help make decisions or gain insights. In the case of the Long Beach City College distance learning survey, the data gives us a snapshot of how students interact with distance education.
Understanding the percentages helps identify student needs and preferences. For instance, if 96% of students have a computer at home, most students likely have the technical capability for online learning. However, the 4% without computers may need additional support. The survey's findings allow stakeholders to tailor resources accordingly and improve the online education experience.
Another key insight is that 71% took distance learning courses for transfer requirements, indicating a significant motivation tied to academic growth. Interpreting survey results can guide course offerings and support services, ensuring courses align with student goals.
Distance Education
Distance education provides learning opportunities without the need to physically attend classes. This method is particularly useful for students who have constraints, such as those living far from campus or unable to attend classes for health reasons.
The Long Beach City College survey indicates that 65% of students can't come to campus, reinforcing the necessity of distance education offerings. Moreover, 95% of students would like more distance learning courses, showing strong support for expanding these programs.
Distance education provides flexibility and accessibility, which may explain why 17% of respondents are enrolled due to disabilities. This mode of learning can empower students by removing geographical and physical barriers, making education more inclusive.
Statistical Inference
Statistical inference involves drawing conclusions about a larger population based on a sample's data. When analyzing survey data, statistical inference helps predict trends and make educated guesses about the whole student body.
For example, by knowing that 13% of survey respondents live at least 16 miles from campus, we can infer that a similar percentage of the entire distance learning population might also live far from campus. This inference helps in planning transportation or accommodation services.
Applying statistical inference to the survey suggests that each percentage reflects the broader trends among all distance learners at the college, although variations are possible. If similar surveys were conducted at different institutions, like Great Basin College, statistical inference would help us understand whether observed differences are due to actual demographic contrasts or random fluctuations.

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Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data. $$\begin{array}{|l|l|l|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {26} & {0.17} & {0.17} \\ \hline 2-4 & {30} & {0.20} & {0.37} \\ \hline 4-6 & {49} & {0.33} & {0.70} \\ \hline 6-8 & {25} & {0.17} & {0.87} \\ \hline 8-10 & {12} & {0.8} & {0.95} \\ \hline 10-12 & {8} & {0.05} & {1} \\ \hline\end{array}$$ Table 1.29 Researcher A $$\begin{array}{|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {0.48} & {0.32} & {0.32} \\ \hline 2-4 & {51} & {0.34} & {0.66} \\ \hline 4-6 & {24} & {0.16} & {0.82} \\ \hline 6-8 & {12} & {0.08} & {0.90} \\ \hline 8-10 & {11} & {0.07} & {0.97} \\ \hline 10-12 & {4} & {0.03} & {1} \\ \hline \end{array}$$ Table 1.30 Researcher B Would the sample size be large enough if the population is school-aged children and young adults in the United States?

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data. $$\begin{array}{|l|l|l|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {26} & {0.17} & {0.17} \\ \hline 2-4 & {30} & {0.20} & {0.37} \\ \hline 4-6 & {49} & {0.33} & {0.70} \\ \hline 6-8 & {25} & {0.17} & {0.87} \\ \hline 8-10 & {12} & {0.8} & {0.95} \\ \hline 10-12 & {8} & {0.05} & {1} \\ \hline\end{array}$$ Table 1.29 Researcher A $$\begin{array}{|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {0.48} & {0.32} & {0.32} \\ \hline 2-4 & {51} & {0.34} & {0.66} \\ \hline 4-6 & {24} & {0.16} & {0.82} \\ \hline 6-8 & {12} & {0.08} & {0.90} \\ \hline 8-10 & {11} & {0.07} & {0.97} \\ \hline 10-12 & {4} & {0.03} & {1} \\ \hline \end{array}$$ Table 1.30 Researcher B Researcher A concludes that most students play video games between four and six hours each week. Researcher B concludes that most students play video games between two and four hours each week. Who is correct?
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