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Question 6 0/2 pts 32 Details A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 23 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 23 weeks and that the population standard deviation is 8.9 weeks. Suppose you would like to select a random sample of 175 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 21.4 and 24.6. P(21.4 << 24.6) = Find the probability that a sample of size n = 175 is randomly selected with a mean between 21.4 and 24.6. P(21.4 24.6) = = Enter your answers as numbers accurate to 4 decimal places. Submit Question Question 7 0/2 pts 32 CNNBC recently reported that the mean annual cost of auto insurance is 1025 dollars. Assume the standard deviation is 257 dollars. You take a simple random sample of 59 auto insurance policies. I Details Find the probability that a single randomly selected value is less than 971 dollars. P(x < 971) = Find the probability that a sample of size n = 59 is randomly selected with a mean less than 971. dollars. P(Z < 971) = Enter your answers as numbers accurate to 4 decimal places.