Checkpoint: Continuous Probábity Distributions \& the CII (43 - 4.9) ure com/courses/23974/assignments/513575?module_itém_id=1935072 Assignments. ontinuous Probability Distributions \& the CLT (4.3 - 4.5) Checkpoint: Continuous Probability Distributions \& the CLT Due Friday by 11:59pm Points 25 Submitting an external tool Checkpoint: Continuous Probability Distributions \& the CLT (4.3 - 4.5) Score: 8.5/21 Answered: 13/21 Question 14 MSNBC recently reported that the mean annual cost of auto insurance is 985 dollars. Assume the standard deviation is 236 dollars. You take a simple random sample of 93 auto insurance policies. Find the probability that a single randomly selected value exceeds 992 dollars. \[ P(x>992)= \] \( \square \) Find the probability that a sample of size \( n=93 \) is randomly selected with a mean that exceeds 992 dollars. \[ P(\bar{x}>992)= \] \( \square \) Enter your answers as numbers accurate to 4 decimal places. Submit Question Jump to Answer
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I. CNNBC recently reported that the mean annual cost of auto insurance is $1050. Assume the standard deviation is $241. You take a simple random sample of 58 auto insurance policies. Find the probability that a single randomly selected value is less than $976. P(X < 976) = Find the probability that a sample of size n=58 is randomly selected with a mean less than $976. P(M < 976) = Enter your answers as numbers accurate to 4 decimal places. II. A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 19 weeks. Assume that for the population of all unemployed individuals, the population mean length of unemployment is 19 weeks and that the population standard deviation is 2.5 weeks. Suppose you would like to select a random sample of 62 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 19.7. P(X > 19.7) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n=62 is randomly selected with a mean greater than 19.7. P(M > 19.7) = (Enter your answers as numbers accurate to 4 decimal places.) III. Business Weekly conducted a survey of graduates from 30 top MBA programs. Based on the survey, assume the mean annual salary for graduates 10 years after graduation is $170,000. Assume the standard deviation is $40,000. Suppose you take a simple random sample of 90 graduates. Find the probability that a single randomly selected policy has a mean value between $165,362 and $185,600.6. P(165,362 < X < 185,600.6) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n=90 has a mean value between $165,362 and $185,600.6. P(165,362 < M < 185,600.6) = (Enter your answers as numbers accurate to 4 decimal places.)
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CNNBC recently reported that the mean annual cost of auto insurance is 1032 dollars. Assume the standard deviation is 245 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 x̄? x̄ ~ N( c. What is the probability that one randomly selected auto insurance is more than $1067? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is more than $1067. e. For part d), is the assumption of normal necessary? No Yes Submit Question
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