Statistics Exercise with Solution

by Electra Radioti


To determine the correct answer, we use the central limit theorem, which states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large (usually n > 30). We calculate the z-score for the sample mean of 1,210 hours and then find the corresponding probability from the standard normal distribution.

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A manufacturing plant produces light bulbs that are supposed to have an average lifespan of 1,200 hours, with a standard deviation of 100 hours. If a random sample of 40 bulbs is taken from the production line, find the probability that the average lifespan of the bulbs in the sample will be more than 1,210 hours.

Your score is

The average score is 50%


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