Question

24 26 30 28 29 28 29 25 30 26 29 27 32 28 28 27 27 26 25 29 2730 28 27 29 31 27 28

Answer 1

$Q. 25~a.~ Sample~ mean=\bar{x}= 27.8571\\ b.~Population~ sd= 1.8267\\ c.~Sample ~sd= 1.8602\\ d.~Population~ variance=\sigma^2= 3.3367\\ e.~Sample~ variance=s^2= 3.4603\\$

$Q.29~a.~ Sample ~mean +sample ~sd=\bar{x}+s= 29.7173\\ ~Sample ~mean -sample~ sd=\bar{x}-s= 25.9970\\ b.~Sample~ mean +2sample ~sd=\bar{x}+2s= 31.5775\\ Sample ~mean -2sample~ sd=\bar{x}-2s= 24.1368\\ c.~Sample ~mean +3sample~ sd=\bar{x}+3s= 33.4377\\ Sample ~mean -3sample ~sd=\bar{x}-3s= 22.2766\\ d.~no.~of~values~>\bar{x}+2s=1\\ Required~proportion=1/28=0.0357\\$