How many hours do guys play video games a day? Efrain Arriaga, Victor Salgado, Victor Figueroa, Franco Figueroa Period
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 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 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.
Data Freshmans: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 hours.
Confidence Interval We are 95% confident the mean hours guys play video games is between ~2.5703
Hypothesis Testing Hypothesis 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 ~ 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.