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.