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. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X %! (b) Find the probability that a single battery of this type will last less than 48 months. (c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months.

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2. 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. (Use the software link for every question)
(a) Let X = number of months a battery will last. Write the question above in terms of this variable X
(b) Find the probability that a single battery of this type will last less than 48 months,
(c) Find the probability that the mean of a random sample of
batteries will be less than 48 months.
(d) Why do you think the values from part (b) and part (c) are different? Explain.
MacBook Air
Transcribed Image Text:Ch"7.pur (page 2 of 2) Q Search Highlight Rotate Markup 2. 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. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X (b) Find the probability that a single battery of this type will last less than 48 months, (c) Find the probability that the mean of a random sample of batteries will be less than 48 months. (d) Why do you think the values from part (b) and part (c) are different? Explain. MacBook Air
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