O Question 5 A compahy produces steel rods. The lengths of the steel rods are normally distributed with a mean of 19.1-cm and a standard deviation of 1.9-cm. For shipment, 35 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X N( 219.1 1.9 b. What is the distribution of ? T N 219.1 c. For a single randomly selected steel rod, find the probability that the length is between 218.9-cm and 219.4-cm. d. For a bundled of 35 rods, find the probability that the average length is between 218.9-cm and 219.4-cm. e. For part d), is the assumption of normal necessary? O No Yes Submit Question
O Question 5 A compahy produces steel rods. The lengths of the steel rods are normally distributed with a mean of 19.1-cm and a standard deviation of 1.9-cm. For shipment, 35 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X N( 219.1 1.9 b. What is the distribution of ? T N 219.1 c. For a single randomly selected steel rod, find the probability that the length is between 218.9-cm and 219.4-cm. d. For a bundled of 35 rods, find the probability that the average length is between 218.9-cm and 219.4-cm. e. For part d), is the assumption of normal necessary? O No Yes Submit Question
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![Question 5
A compahy produces steel rods. The lengths of the steel rods are normally distributed with a mean of
219.1-cm and a standard deviation of 1.9-cm. For shipment, 35 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X N( 219.1
1.9
b. What is the distribution of ? T N 219.1
c. For a single randomly selected steel rod, find the probability that the length is between 218.9-cm
and 219.4-cm.
d. For a bundled of 35 rods, find the probability that the average length is between 218.9-cm and
219.4-cm.
e. For part d), is the assumption of normal necessary?
No Yes
Submit Question
O
a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9ab9709-c5a9-4135-9035-738f4a7a88e6%2Fd8013150-bfc7-4aa2-accf-4fd31af7e0b7%2Fmwxkmub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
A compahy produces steel rods. The lengths of the steel rods are normally distributed with a mean of
219.1-cm and a standard deviation of 1.9-cm. For shipment, 35 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X N( 219.1
1.9
b. What is the distribution of ? T N 219.1
c. For a single randomly selected steel rod, find the probability that the length is between 218.9-cm
and 219.4-cm.
d. For a bundled of 35 rods, find the probability that the average length is between 218.9-cm and
219.4-cm.
e. For part d), is the assumption of normal necessary?
No Yes
Submit Question
O
a.
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