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  • A sample of 400 items is taken from a normal population whose mean as well as varaince is 4. If the sample mean is 4.5, can the sample be regarded as truly random sample

A sample of 400 items is taken from a normal population whose mean as well as varaince is 4. If the sample mean is 4.5, can the sample be regarded as truly random sample

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z=fracsample;mean-variancefracstandard;deviationsqrtn\* standard;deviation=sqrtvariance=sqrt4=2\* sample;mean=4.5\* n=400\* z=frac4.5-4frac2sqrt400=frac0.5 imes 202=5\*Rightarrow z=5 \* So,;the;given;sample;is;not;regarded;as;truly;random;sample.

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Deependra Verma

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