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# Score: 0/19 0/19 answered Question 7 A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of

## Score: 0/19 0/19 answered Question 7 A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 209.6-cm and a standard deviation of 0.8-cm. For shipment, 47 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 ? - N( c. For a single randomly selected steel rod, find the probability that the length is between 209.7- cm and 209.8-cm. d. For a bundled of 47 rods, find the probability that the average length is between 209.7-cm and 209.8-cm. e. For part d), is the assumption of normal necessary? No Yes Question Help: Video Post to forum Submit Question Score: 0/19 0/19 answered Question 8 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 5 weeks. Suppose you would like to select a random sample of 36 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N b. What is the distribution of ? - N c. What is the probability that one randomly selected individual found a job less than 24 weeks? d. For 36 unemployed individuals, find the probability that the average time that they found the next job is less than 24 weeks. e. For part d), is the assumption of normal necessary? No Yes Question Help: Post to forum Submit Question Score: 0/19 0/19 answered Question 9 CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 200 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of X? X-N B c. What is the probability that one randomly selected auto insurance is more than $956? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is more than $956. e. For part d), is the assumption of normal necessary? No Yes Question Help: Post to forum Submit Question

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