Question
In: Statistics and Probability
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 207.2-cm and a standard deviation of 2.3-cm. For shipment, 17 steel rods are bundled together. Round all answers to four decimal places if necessary.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For a single randomly selected steel rod, find the probability that the length is between 207.4-cm and 207.9-cm.
For a bundled of 17 rods, find the probability that the average length is between 207.4-cm and 207.9-cm.
For part d), is the assumption of normal necessary? YesNo
LicensePoints possible: 1
Solutions
orchestra answered 1 year agoRelated Solutions
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A. A company produces steel rods. The lengths of the steel rods
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P(¯xx¯ < 162.6-cm) =
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necessary.
What is the distribution of XX? XX ~ N( , )
What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )
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P(M < 195.1-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers
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A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 143.6-cm and a standard
deviation of 0.8-cm. For shipment, 41 steel rods are bundled
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necessary.
What is the distribution of X
? X
~ N(,)
What is the distribution of ¯x
? ¯x
~ N(,)
For a single randomly selected steel rod, find the probability
that the length is between 143.4-cm and 143.5-cm....
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods
are normally distributed with a mean of 222-cm and a standard
deviation of 1.5-cm. For shipment, 9 steel rods are bundled
together.
Find the probability that the average length of a randomly
selected bundle of steel rods is less than 222.1-cm.
P(M < 222.1-cm) =
Enter your answer as a number accurate to 4 decimal places.
Answers obtained using exact z-scores or z-scores rounded to 3
decimal places are...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 124.7-cm and a standard
deviation of 1.6-cm. For shipment, 17 steel rods are bundled
together.
Find P83, which is the average length
separating the smallest 83% bundles from the largest 17%
bundles.
P83 = -cm
Please provide a step-by-step!
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 106.4-cm and a standard
deviation of 1.8-cm. For shipment, 9 steel rods are bundled
together. Round all answers to four decimal places if
necessary.
A. What is the distribution of X? X ~ N(
, )
B. What is the distribution of ¯x? ¯x ~
N( , )
C. For a single randomly selected steel rod, find the
probability that the length...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are
normally distributed with a mean of 127.3-cm and a standard
deviation of 1.7-cm.
Find the proportion of steel rods with lengths between 130.7 cm and
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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 to 3 decimal places are accepted.
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A company produces steel rods. The lengths of the steel rods are
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deviation of 1.6-cm. For shipment, 47 steel rods are bundled
together. Round all answers to four decimal places if
necessary.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
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For a...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
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deviation of 1.6-cm. For shipment, 30 steel rods are bundled
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Find P32, which is the average length
separating the smallest 32% bundles from the largest 68%
bundles.
P32 =___________ -cm
Enter your answer as a number accurate to 2 decimal place.
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