A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1002 hours. This average is maintained by periodically testing random samples of 25 light bulbs. If the t-value falls between - to 95 and to 95, then the company w be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 1009 hours and the standard deviation is 30 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. The company making acceptable light bulbs because the t-value for the sample is t= and to 95 =| (Round to two decimal places as needed.)

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When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.