110 likes | 326 Views
How many times do a student get detention per month? . Pedro Mendoza Agustin Ocampo Period 6 2011-2012. CA Standard.
E N D
How many times do a student get detention per month? Pedro Mendoza Agustin Ocampo Period 6 2011-2012
CA Standard 8.0 Students organized and describe distribution of data by using a number of different methods, including frequency gables, histograms, standard line and bar graphs, stem-and-leaf displays, Scatter plots, and box-and-whisker plots. 17.0 Students determine confidence intervals for simple random sample from a normal distribution of data determine the sample size required for a desired margin error. 18.0 Students determine the P-value for a statistics for a simple random sample from a normal distribution
Hypothesis • (claim) we believe that the number of times do a student get detention is 2 times
Data Collection • (cluster sample and systematic sampling) • We collected data by using the cluster sample method. We asked 20 seniors each one of us for a total of 40 seniors. Then, we use systematic sampling by asking every 5th seniors how many times do they get detention per month?
Data • Length of detention (per month) • 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 3, 2, 1, 1, 2, 2, 1, 3, 1, 5, 3, 2, 1, 1, 1, 2, 2, 1, 4, 1, 2, 3, 2, 1, 3, 4, 5, 1,
Statistics • From our survey, students sample detention mean time is 1.925 with sample standard deviation 1.1410
Confidence Interval • 95% Confidence Interval • Z-Interval • (1. 5714, 2. 2785) • We are 95% confidence mean times do a student get detention per month is between 1.5 to 2.2
Z Test • P-value = 0. 6776 > = 0. 05 • At 5% level of significance, we failed to reject the . There is enough evidence to support the claim
Error Analysis • Our sample mean is 1. 925 times, and the 95% confidence level of the population mean is between 1. 5714 to 2. 2785 times. The marginal error is about 0. 3536 times • Our sample error is due to possible underrepresentation is because students were absents or students lied.
Conclusion • We hypothesized that Century students’ detention time average is 2 times per month. In our survey of 40 students, we find the sample mean of 1. 92 with a standard deviation of 1. 14. We conclude that the population mean for all the students is between 1. 5 to 2.5 with 95% confident. We test our initial hypothesis with 5% level of significance, and confirm our hypothesis is incorrect