Question

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 216.5-cm and a standard
deviation of 2.3-cm. For shipment, 24 steel rods are bundled
together.

Find *P*_{15}, which is the average length
separating the smallest 15% bundles from the largest 85%
bundles.

*P*_{15} = -cm

Enter your answer as a number accurate to 2 decimal place. Answers
obtained using exact *z*-scores or *z*-scores rounded
to 3 decimal places are accepted.

Answer #1

Given that, mean = 216.5 cm

standard deviation = 2.3 cm

sample size (n) = 24

We want to find, sample mean such that,

Therefore, we get

P_{15} = **216.01 cm**

A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 197.5-cm and a standard
deviation of 2-cm. For shipment, 6 steel rods are bundled
together.
Find P11, which is the average length separating the smallest
11% bundles from the largest 89% bundles.
P11 =______________ -cm
Enter your answer as a number accurate to 2 decimal place.
Answers obtained using exact z-scores or z-scores rounded to 3
decimal places are accepted.

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Find P95, which is the average length
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Enter your answer as a number accurate to 2 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

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Enter your answer as a number accurate to 2 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

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Enter your answer as a number accurate to 2 decimal place.

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Find the probability that the average length of a randomly selected
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P(237.5-cm < M < 239.1-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
to 3...

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P(215-cm < M < 216.5-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
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Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
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Find the probability that the average length of a randomly selected
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Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
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Enter your answer as a number accurate to 4 decimal places. Answers
obtained using exact z-scores or z-scores rounded
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