1. 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 all of this is true: (a) Let X = number of months a battery will last. Find the probability that a single battery of this type will last longer than 51 months. (4 decimals) (b) Find the probability that the mean of a random sample of 36 batteries will be over 51 months. (c) Why do you think the values from part (b) and part (c) are different? Explain.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.