Elocking reers to the idea that the variabilty i a variable can be redued by sog

Question

Elocking reers to the idea that the variabilty i a variable can be redued by sogmenting the data by some other variable. The data in the accompanying table reprcsent the recumbent length (in centimeters) of a sample of 10 males and 10 fenales who are 40 months of age. Cornplete parts (a) through (d). l Click thelo view the dala table. More Infeo a) Deterrmine the standard deviation of recumbent length for all 20 observations um (Round to two deimal places as reded. Full data sat b)Deterrnine the standard deviation of rcurnbent lenigth for the rriales cm Round to two decmal places as nooded) Males Females 114 94 4 1015 100 a 93.7 97.8 100.4 98.3 98.3 100.6 102.7 105.0 es 2103 ()| 981 106 5 90.7 100.9 95.4 114.5 c) Determine the standard deviation of recumbent length for the females. cm Hound to two decmal places as needed d) What effect does blocking by gender have on the standard deviation of recumbent length for each gender? A. Th standard ceviation for each group is the same as it is for the groups combined. O B. The standard ceviation is higher far each group than it is for the groups combined O C. The standard deviation is lower for each group than it is for the groups combined. Print Done

Explanation / Answer

(a) Standard deviation for all 20 observations = 6.11
(b) Standard deviation for the males = 5.67
(c) Standard deviation for the females = 5.59

(d) The standard deviation is lower for each group than it is for the groups combined (Option C).

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