MATH 352 Minitab2_sol

# MATH 352 Minitab2_sol - general a counterexample can be...

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Homework Solutions Minitab #2 (a) Results for: COYOTES[1].MTW Descriptive Statistics: Females, Males Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Females 37 0 89.08 1.11 6.72 71.00 85.00 89.50 93.00 102.50 Males 37 0 91.62 1.07 6.54 78.00 87.50 92.00 96.00 105.00 (b) Is the Female median equal to one of the sample values? Can you give the answer without looking at the sample values? Yes. Yes, since in the sample with an odd number of observations median by definition equals to one of the values. (c) Compare the mean and median of the Male sample. What conclusion can you make about the sample based on this comparison? Mean is approximately equal to median, so we might expect a histogram which is approximately symmetric, with no outliers. (We are saying "might expect", since in

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Unformatted text preview: general, a counterexample can be constructed, but usually this logic will work.) (d) 105 100 95 90 85 80 75 70 105 100 95 90 85 80 Females Males Boxplot of Females, Males The boxplots of male and female coyotes above show that the data spans generally the same values for both groups, with females reaching values below 75 and males barely reaching below 80. The medians seem to be almost equal between males and females, which we can verify from the descriptive statistics above. The female group contains an outlier and the male group contains no outliers. Both boxplots show the data to be relatively symmetric with the medians being in the middle of the first and third quartiles....
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MATH 352 Minitab2_sol - general a counterexample can be...

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