A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1000 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the​ t-value falls between −t0.99 and t0.99​, then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random​ sample, the mean life span of the sample is 1007 hours and the standard deviation is 28 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light​ bulbs? Explain.

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