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How t ired are students in the morning ?

How t ired are students in the morning ?. Jose Almanza Period 1 2013. California Standards.

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How t ired are students in the morning ?

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  1. How tired are students in the morning ? Jose Almanza Period 1 2013

  2. 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.

  3. Hypothesis • I believe the average is 7 from a rate from 1-10.

  4. Data Collection • I asked 50 juniors and 50 seniors to rate themselves from 1-10 on how tired they are in the morning.

  5. Data • Rate of 1-1( of how tired you are in the morning ? • Juniors= 3,6,6,3,1,1,4,5,3,1,5,6,2,7,2,1,1,4,3,6,5,7,4,6,6,6,4,5,3,2,3,3,2,1,4,5,6,4,3,5,4,4,4,3,1,1,2,6,7,8 • Seniors= 3,5,8,8,5,7,4,7,7,8,4,6,5,4,3,8,7,7,6,5,8,9,4,3,3,3,5,2,7,6,7,5,6,5,5,4,2,3,4,2,4,6,7,7,2,4,8,6,7,4

  6. Statistics • Mean = 4.59 and Standard Deviation = 2.040

  7. Confidence Interval • 90% Confidence Interval • Z-Interval • (4.2544,4.9256) • We are 90% confident the mean on how tired you are in the morning for juniors and seniors is between 4.25 to 4.93

  8. Hypothesis Testing 1.Hypothesis 2.Test Statistics 3.At 5% level of significance, we reject . There is not enough evidence to support the claim.

  9. Error Analysis • The sample mean is 4.59, and the 90% confidence level for the population mean is between 4.25 to 4.93 . • The sample error is that the seniors and juniors wake up at different times in the morning.

  10. Conclusion • I hypothesized that Century students average is 7 on how tired they are in the morning. In my survey of 100 students, I find the sample mean of 4.59 with a standard deviation of 2.040 . I conclude that the population mean for all the students is between 4.25 to 4.93 with 90% confident. I test my initial hypothesis with 5% level of significance, and confirm my hypothesis is wrong.

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