A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. when the d

Question

A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. when the distribution is standardized, what value will be obtained for a score of x = 52 from the original distribution?

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    2022-01-04T20:08:26+00:00

    Solution:

    \hbox{Let the distribution standarized is z}\\ \hbox{given:-}\mu =50\hbox{ and} \sigma =6\hbox{will become } \mu=50 \hbox{ and} \sigma =10\\\hbox{distribution standarized with value x=52 }\\\rm{so}\\\hbox{the value of score is:}\\z=\frac{x-\mu }{\sigma}\\\rm{if}\\p(x< 52)=p(z<-0.5 )\\\rm{thus}\\\hbox{new is}z=\frac{50-10 }{2}=45\\\hbox{this the required right answer}

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