Question

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 246.7-cm and a standard
deviation of 0.8-cm. For shipment, 23 steel rods are bundled
together.

Find the probability that the average length of a randomly selected
bundle of steel rods is greater than 246.6-cm.

*P*(*M* > 246.6-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact *z*-scores or *z*-scores rounded
to 3 decimal places are accepted.

Answer #1

*sample size (n) =
23 < 30..but the sample is from a normal population.so, we can
say that, the sample mean will follow normal distribution with
:-*

**the probability
that the average length of a randomly selected bundle of steel rods
is greater than 246.6-cm is :-**

[ using standard normal table ]

*** if you have any doubts about the problem please mention it in the comment box... if satisfied please LIKE.

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