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Directions: Use the 68-95-99.7% rule to answer questions 3 and 4. Draw the distribution curve and plot the numbers on it. 3. (5 pts gThe playing life of a sunshine radio is normally distributed with a mean of 600 hours and a standard deviation of 100 hours. a. What percent of the radios will last om 600 to 800 hours? b. What percent of radios will last more than 600 hours? c. What percent of radios will play between 300 and 600 hours? (I. What percent of radios will last less than 700 hours? e. What percent of radios will play between 500 and 600 hours? 4. (5 pts) A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of .4 ounces. a. What percent of cups will be between 6.8 ounces and 8.4 ounces? b. What percent of 8 ounce cups will overow (be over 8 ounces)? c. Suppose the machine is loaded with 850 cups. How many of these cups do you expect will over ow when served? data valuemean Zscore = .. standars dematton 5. (5 pts QIt has been determined that the mean task completion times for making fan belts at a= auto parts manufacturing facility is 36 minutes. The times are normally distributed with a standard deviation of 2 minutes; a. What percent of belts will take less than 33 minutes to produce? b. What percent of fans will take more than 37 minutes to produce? 6. (5pts)Find the margin of error and the 95% confidence interval for the following study. A 2009 poll of 540 people aged 12-17, conducted by ICR of Media , Pennsylvania, concluded that 62% of American teenagers support the current legal drinking age of 21 - What is given? - What you are looking for? - Write the formula: - Substitute the numbers into the formula: - Make a conclusion about the confidence interval:7. (=5 pts)Consider the following claim related to a statistical study. Spring 2021 The Food and Drug Administration claims that the amount of vitamin C in tablets produced by a company is less than the advertised 400 milligrams. a) State the null and alternative hypotheses for a hypothesis test. b) Describe the two possible outcomes of the test, using the context of the given situation