Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a mean = 50,000 miles but with some unknown standard deviation σ. Suppose that a sample of n = 16 pads is tested for their 'life-times' yield S = 2500 as the sample estimate σ. Find the probability that the sample average X16 exceeds 49,000 miles, Pr(≥49,000) 16

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Disc Brake pads has a Normal distribution with a mean µ = 50,000 miles but with some unknown standard deviation σ . In a sample of n =16 pads is tested for their ‘life-times’ yield S = 2500 as the 
sample estimate σ . What is the probability that the sample average X16 exceeds 
49,000 miles, 
Pr( 49,000)=_________

Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a
mean = 50,000 miles but with some unknown standard deviation σ. Suppose
that a sample of n = 16 pads is tested for their 'life-times' yield S = 2500 as the
sample estimate σ. Find the probability that the sample average X16 exceeds
49,000 miles,
Pr(≥49,000)
16
Transcribed Image Text:Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a mean = 50,000 miles but with some unknown standard deviation σ. Suppose that a sample of n = 16 pads is tested for their 'life-times' yield S = 2500 as the sample estimate σ. Find the probability that the sample average X16 exceeds 49,000 miles, Pr(≥49,000) 16
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