Question: Forasamplewithmean y, showthataddingaconstant c to eachobservationchanges the meanto y + c, andthestandarddeviation s is unchanged.Showthatmultiplying eachobservationby c changesthemeanto cy and thestandarddeviationto ScSs.

Forasamplewithmean ¯y, showthataddingaconstant c to eachobservationchanges the meanto ¯y +

c, andthestandarddeviation s is unchanged.Showthatmultiplying eachobservationby c changesthemeanto c¯y and thestandarddeviationto ScSs.

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