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0 Question 4 v CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard deviation is 275 dollars. You take a simple random sample of 80 auto insurance policies. Find the probability that a single randomly selected value is less than 983 dollars. P(X A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.5 years, and standard deviation of 0.7 years. If 8 items are picked at random, 1% ofthe time their mean life will be less than how many years? Give your answer to one decimal place. :1 Check Answer 0 Question 2 v The time it takes a person to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that a randomly selected event of washing dishes will take a person between 11 and 13 minutes? Round your answer accurate to two decimal places. :1 Check Answer 0 Question 3 v A Food Marketing Institute found that 25% of households spend more than $125 a week on groceries. Assume the population proportion is 0.25 and a simple random sample of 346 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.27? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Answer = [:] (Enter your answer as a number accurate to 4 decimal places.) Check Answer 0 Question 5 v The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 35 ounces and a standard deviation of6 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution. may.ofthewidgetweightsnebetweeni:]and:] b) What percentage of the widget weights lie between 17 and 41 ounces? :] % c) What percentage of the widget weights lie above 23? :] % Question Help: EIVideo Check Answer Question 6 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 24 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 24 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a random sample of 32 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 25. P(X m m Find the variance of the above random variable random variable. :] Check