Describing the Data

a.Provide descriptive statistics for the weight gain observed in this sample.

b.Provide descriptive statistics (n, mean, standard deviation, median, first and third quartiles, and minimum and maximum) for the weight gain observed in the sample of women who drank only bottled water versus those who drank only tap water.

c.Use a box-and-whisker plot to compare the distribution of the weight gain of the three water consumption groups (tap-only, bottle-only, and tap-and-bottle). What does the plot show?

Basic Statistical Measures Quantiles (Definition 5) 1b Location Variability Level Quantile The UNIVARIATE Procedure Mean 40.01074 Std Deviation 5.72993 100% Max 63.90 Variable: wtgain group = 1 Median 40. 10000 Variance 32.83211 99% 56.40 Mode 40.00000 Range 39.40000 95% 48.70 Moments Interquartile Range 6. 10000 90% 46.15 N 270 Sum Weights 270 75% Q3 43.10 Mean 40.0107407 Sum Observations 10802.9 Tests for Location: Mu0=0 50% Median 40.10 Std Deviation 5.72993147 Variance 32.8321147 Test Statistic p Value 25% Q1 37.00 Skewness 0.48840063 Kurtosis 1.92109098 Student's t t 114.7385 10% 32.65 Uncorrected SS 441063.87 Corrected SS 8831.83885 Pr > It| <.0001 sign m coeff variation std error mean pr>= [MI <.0001 signed rank s pr>= |S] 1% 26.80 <.0001 min extreme observations lowest highest value obs basic statistical measures quantiles the univariate procedure location variability level quantile variable: wtgain mean std deviation max group="2" median variance moments mode range n sum weights interquartile q3 tests for location: mu0="0" skewness kurtosis test statistic p q1 uncorrected ss corrected student t pr> It <.0001 coeff variation std error mean sign pr>= M <.000 signed rank s pr>= IS <.0001 min the univariate procedure variable: wtgain group="2" extreme observations lowest highest value obs distribution of by level quantile max moments n sum weights q3 mean median std deviation variance q1 skewness kurtosis uncorrected ss corrected coeff variation error basic statistical measures tests for location: mu0="0" location variability test statistic p student t pr> It| <.0001 median variance sign m pr>= [MI <.0001 mode range signed rank s pr>= ISI <.0001 interquartile range>