State whether one would expect the data set described below to be normally distributed. Explain why or why not.

The exact heights of a random sample of sign posts manufactured by a sign post company

Theexactheightsofarandomsampleofsignpostsmanufacturedbyasignpostcompany

A.

One would expect this data set to be normally distributed. It is common

Itiscommon for a

fora manufactured

manufactured product comma such as sign posts comma to have a distribution

product,suchassignposts,tohaveadistribution that is normal. The

thatisnormal.The heights typically vary

heightstypicallyvary above and below the mean height by about

aboveandbelowthemeanheightbyabout the same amounts comma so

thesameamounts,so the distribution has one

thedistributionhasone peak and is symmetric.

peakandissymmetric.

B.

One would not expect this data set to be normally distributed. Data like the heights

Dataliketheheights of sign posts tend to have a uniform distribution because each value is equally likely.

ofsignpoststendtohaveauniformdistributionbecauseeachvalueisequallylikely. nothing

C.

One would not expect this data set to be normally distributed. All manufactured

Allmanufactured products comma

products, like sign posts comma are designed to have exactly the same heights comma so the

likesignposts,aredesignedtohaveexactlythesameheights,sothe distribution

distribution will only

willonly include

include one value.

onevalue. nothing

D.

One would expect this data set to be normally distributed. All manufactured

Allmanufactured products comma

products, like sign posts comma are designed to have exactly the same heights comma so the

likesignposts,aredesignedtohaveexactlythesameheights,sothe distribution

distribution will only

willonly include

include one value.

onevalue.