An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. a) Find the probability that a single battery of this type will last less than 48 months. b) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months. c) Why do you think the values from part (a) and part (b) are different? Explain

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.