11. If two samples of sizes 30 and 20 have means 55 and 60 and variances 16 and 25. What would be SD of
combined sample size of 50?
a. 5.33
b. 5.17
c. 5.06
d. 5
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Step-by-step explanation:
equation =√N1*S1²+N2*S2²+N1*d1²+N2*d2² / N1+N2
- N1=30
- n2-20
- xbar 1-55
- xbar 2-60
- v1-16
- v2-25
- d- n1*xbar1+n2*xbar2 / n1+n2
- d- 57
- d1- 57-55=2
- d2- 57-60=3
therefore, √ 30*16+20*25+30*2²+20*3³ / 50
= " 5.06"
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