A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1010 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the​ t-value falls between −t0.95 and t0.95​, 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 1015 hours and the standard deviation is 27 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light​ bulbs? Explain.   The company is or is not  making acceptable light bulbs because the​ t-value for the sample is t=??? and t0.95=??? ​(Round to two decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 1010 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the​ t-value falls between −t0.95 and t0.95​, 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 1015 hours and the standard deviation is 27 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light​ bulbs? Explain.

 

The company is or is not  making acceptable light bulbs because the​ t-value for the sample is t=??? and t0.95=???
​(Round to two decimal places as​ needed.)
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