How many hours do guys play video games a day?

Efrain Arriaga, Victor Salgado, Victor Figueroa, Franco FigueroaPeriod 3

2012 - 1213

California Standards•8.0 Student organized and describe distribution

of data by using of different methods, including frequency table, histogram, standard line and bar graphs, stem-and-leaf displays, scatter plots, and box of whisker plots.

•17.0 Students determine confidence interval 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 Student determine the P-value for a statistic for a simple random sample from a normal distribution

Hypothesis

We predict that the average guys play video games a day is between is between 2-3 hours

Data Collection

• We used stratified sampling technique , we asked 100 students.•We chose 25 students from each grade•Example: We will collect data by using the stratified sampling method. We collected data from students chose by us and divide it into freshman, sophomore, juniors and seniors.

DataFreshmans:6,4,0,0,1,3,7,2,3,2,3,1,2,2,2,3,5,4,3,3,0,3,

2,3,3

Sophomores:3,1,3,4,2,1,1,3,1,1,1,2,3,1,2,3,4,5,2,3,1,2,4,3

Juniors:3,2,3,2,4,2,0,0,0,1,2,4,5,3,2,2,2,1,2,3,4,2,1,3,4,2

Senior:2,3,0,0,2,2,1,0,1,4,1,3,2,4,5,0,0,2,1,3,4,3,2,2,1

Statistics•From our survey student’s sample mean

time is 2.29 hours with sample standard deviation 1.430349608 hours.

Confidence IntervalWe are 95% confident the mean hours

guys play video games is between 2.0097~2.5703

Hypothesis TestingHypothesis•Test Statistics•At 5% level of significance, we failed to

reject . There is enough evidence to support our claim.

Error Analysis•Our sample mean is 2.29 hours, and the

95% confidence level for the population mean is between 2.0097~2.5703 hours. The marginal error is about 5% minutes.

•Our sample error is due to possible under-representation of the population. We might need to take more samples due to student absences.

Conclusion

We hypothesized that Century students play 2-3 hours of video games daily.

survey of 100 male students, we find the sample mean 2.29

We were slightly correct.