A manufacturer of light bulbs claims that his light bulbs will burn on the avera

Question

A manufacturer of light bulbs claims that his light bulbs will burn on the average 500 hours. To maintain this average, he tests 25 bulbs each month. If the computed t value falls between –t0.05 and t0.05, he is satisfied with his claim. At his last test, he draw a sample with the mean 518 hours and a standard deviation s=40 hours. Complete the conclusions below assuming the burning times to be approximately normal.

You must answer with 2 decimal places, unless it is indicated otherwise. (example; 12.12 or 0.12)

The value of t for his last test is Fill in the Blank 01

The value of t that satisfies him with his claim is Fill in the Blank 02

Explanation / Answer

The value of t for his last test is 2.25 The value of t that satisfies him with his claim is 1.71 Since the t value of the last test is above the t value that satisfies him. The Manufacturer should assume that his bulbs, on the average, burn more than 500 hours.

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