# hw8 - 1 I would expect that the pct.bf of one Nevada man...

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1. I would expect that the pct.bf of one Nevada man would be independent of any others I would assume that this group of Nevada men is less than 10% of the entire population I would assume that the Nevada men were chosen at random for each study. Bodyfat\$Pct.BF Frequency 0 10 20 30 40 50 0 10 20 30 40 50 mean sd 0% 25% 50% 75% 100% n 19.0316 8.294 0 12.425 19.2 25.2 47.5 250 One Sample t-test data: Bodyfat\$Pct.BF t = 36.2812, df = 249, p-value < 2.2e-16 alternative hypothesis: true mean is not equal to 0 95 percent confidence interval: 17.99846 20.06474 sample estimates: mean of x 19.0316 I am 95% confident that the mean of the body fat for men in Utah is between 17.998-and 20.06. This is higher than the normal healthy range for body fat for men which is between 15-18%. The lower limit of the 95% confidence level is almost exactly equal to the upper limit of the healthy level which leads me to believe that obesity is a serious problem for men living in Utah. 2.

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Attached 3. mean(Roller\$Speed[Roller\$Type=="Wooden"] + ) [1] 58.75 > mean(Roller\$Speed[Roller\$Type=="Steel"]) [1] 69.28727 sd(Roller\$Speed[Roller\$Type=="Steel"]) [1] 14.30019 sd(Roller\$Speed[Roller\$Type=="Wooden"]) [1] 9.221907 N wooden = 22 N Steel = 55 Histogram of Roller\$Speed[Roller\$Type == "Wooden"] Roller\$Speed[Roller\$Type == "Wooden"] Frequency 40 50 60 70 80 0 1 2 3 4 5 6 7 Histogram of Roller\$Speed[Roller\$Type == "Steel"] Roller\$Speed[Roller\$Type == "Steel"] Frequency 40 60 80 100 120 0 5 10 15 20 Nearly normal condition = the histograms of the speeds of the coasters looks unimodal and symmetric. The wooden on has a large gap on one of its bins, but besides this, it looks the nearly normal condition is met The subjects are independent of each other so their differences should be as well I would assume that this group of roller coasters is less than 10% of the entire population I would assume that the coasters were chosen at random for each study and thus, that the two groups are independent of each other.
1 2 40 60 80 100 120 VI.2 > D=(Mazes\$Scented-Mazes\$Unscented) > Hist(D) D Frequency -20 -10 0 10 20 0 1 2 3 4 Nearly normal condition = the distribution of differences does not look like a normal distribution so I am skeptical of my results

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• Spring '07
• RichardD.DeVeaux
• Normal Distribution, Student's t-distribution, princeton, nearly normal condition

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