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Question

A factory produces light bulbs with a mean lifetime of $1200$ hours and a standard deviation of $100$ hours. If a quality control manager selects a random sample of $25$ bulbs, what is the probability that the sample mean lifetime is greater than $1230$ hours?

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A factory produces light bulbs with a mean lifetime of 12001200 hours and a standard deviation of 100100 hours. If a quality control manager selects a random sample of 2525 bulbs, what is the probability that the sample mean lifetime is greater than 12301230 hours?

A factory produces light bulbs with a mean lifetime of $1200$ hours and a standard deviation of $100$ hours. If a quality control manager selects a random sample of $25$ bulbs, what is the probability that the sample mean lifetime is greater than $1230$ hours?