# Hours Listening To Music In A Week! David Burgueño, Nestor Garcia, Rodrigo Martinez.

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Hours Listening To Music In A Week! David Burgueño, Nestor Garcia, Rodrigo Martinez

CA Standards: 8.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatter plots, and box-and-whispers. 17.0 Students determine confidence intervals for a simple random sample from a normal distribution of data and determine the sample size required for a desired margin of error. 18.0 Students determine the P-value for a statistic for a simple random sample from a normal distribution

Hypothesis We believe that most students listen to 20 hours of music ever week.

Data Collection We used the random sampling method. We asked people in our classrooms that were listening to music at the time that we walked into class.

Data Length of time listening to music in a week. 30, 63, 40, 32, 1, 2, 5, 24, 34, 28, 28, 12, 7, 49, 13, 17, 3, 18, 54, 3, 18, 54, 3, 9, 8, 7, 12, 30, 25, 6, 13, 9, 18, 10, 10, 15, 25, 43, 19, 50, 5, 3, 8, 7, 7, 6, 1, 9, 13, 11, 20, 24, 15, 17, 26, 20, 18, 14, 10, 8, 47, 45, 6

Histogram

Statistics From our survey, student music listening is a mean time is 18.5 hours a week with a sample standard deviation 14.7 hours.

Confidence Interval 95% Confidence Interval Z-Interval (14.795, 22.277) We are 95% confident mean music listening time for all students is between 14.8 to 22.3 hours.

Hypothesis testing Test the Hypothesis Step I Hypothesis Step II Test Statistics Step III Conclusion

Conclusion We hypothesized that Century students’ listen to music an average of 20 hours. In our survey consisting of 60 students, our sample mean was 18.53 hours with a standard deviation of 14.7 hours. We concluded that population mean for students is between 14.8 to 22.3 hours with 95% confidence. We test our initial hypothesis with 5% level of significance, and confirm our hypothesis is correct.

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