Classwork 9-Sampling (8.1.82 The Central Limit Theorem states hast regardless of

Question

Classwork 9-Sampling (8.1.82 The Central Limit Theorem states hast regardless of the underlying poportion, the sampling distribution of t becomes approximately 2) If a random sample of 36 is obtained from a popular what is the mean and standard deviation of the i of 50 and standard deviation 24 sampling distribution of the sample mean? The life of a certain brand of car battery is normally distributed with a mean of 40 months and a standard deviation of 5 months. 3) a. Find the probability that a randomly selected battery of this brand will last more than 42 months. b. Jack owns a taxi company, and recently installed 9 new batteries of this brand. Find the probability that the mean life for the 9 batteries Jack installed will be greater than 42 months e. For part b, you used a normal curve. How did you know the sampling distribution for & was normal in this case? d. Why a re the probabilities different in parts a and b? Why does it make sense for the probability in part a to be higher? The brandonly wants to replace the bottom 5% of batteries with their warranty . How long do the bottom 5% of individual batteries last? e. Jack often buys and installs groups of 12 batteries at a time. What is the average lifetime of the top 10% ofa group of these batteries? f.

Explanation / Answer

1) the central limit theorem states that regardless of the underlying proportion the sampling distribution of x bar becomes approximately normal and n grater than or equal to 30.

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