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Homework answers / question archive / 5) A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 99% confidence level
5) A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 99% confidence level. The company knows that the standard deviation of the amounts of detergent in all such jugs is .20 ounce. How large a sample should the company select so that the estimate is within .04 ounce of the population mean?
6- The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 50 months. A consumer protection agency wants to check if the mean life of these batteries is less than 50 months. They took a random sample of 25 such batteries and found that the mean life for this sample is 46.05 months. The lives of all such batteries have normal distribution with population standard deviation of 5.1 months. Using a 2.5% significance level, can you conclude that the mean life of all these batteries is less than 50 months?