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How Long Do You Take To Shower?

How Long Do You Take To Shower?. Alan Flores, Kathy Alvarado, Carol Prieto Period: 5 2011-2012. California Standards.

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How Long Do You Take To Shower?

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  1. How Long Do You Take To Shower? Alan Flores, Kathy Alvarado, Carol PrietoPeriod: 5 2011-2012

  2. California Standards • 8.0 Students organize and describe distributions of data by using a number of different methods, including frequency table, histograms, standards line and bar graphs, stem-and –leaf displays, scatter plots, and box-and-whisker plots. • 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-valve for a statistic for a simple random sample from a normal distribution.

  3. Hypothesis • We believe that the amount to take a shower is 30 minutes.

  4. Data Collection Method • We will collect data by using the random sampling method. We ask every third person we see walking around school.

  5. Data • Length of shower • 25,15,25,30,30,10,15,15,20,25,10,20,10,15,11,15,8,20,10,6,17,25,21,20,13,9,10,10,15,8,12,25,10,5,20,6,10,10,11,19,12,13

  6. Histogram

  7. Statistics • Find sample mean and sample standard deviation . Stat→ test→ 1 var stat • Sample mean x = 15.1428 • Sample Standard deviation sx=6.6426

  8. Confidence Interval Find 95% confidence interval STAT→ Test→ 7. z-interval→ Select “stats” Calculate: (13.13, 17.15) Conclusion: We are 95% confident that the population mean of how long do you take to shower is between 13.13 and 17.15 minutes.

  9. Hypothesis Claim: We believe that the amount to take a shower is 30 minutes. Test Statistics (z-test) At 5% level of significance we reject the claim that there is not enough evidence to support our claim (hypothesis)

  10. Error Analysis Our sample mean is 15.1428 minutes, and the 95% confidence level for the population mean is between 13.134 to 17.152 minutes. The marginal error is about 2.0092 minutes. Our sample error is due to possible under-representation of the population. We might need to take more samples due to people taking a shower, people fail to check their survey by asking students.

  11. Conclusion • We are 95% confident that the population mean how long do you take to shower is between (13.134min to 17.152min)

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