Question

Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a mean $\mu = 50,000$ miles but with some unknown standard deviation $\sigma$. Suppose that a sample of $n = 16$ pads is tested for their 'life-times' yield $S = 2500$ as the sample estimate $\sigma$. Find the probability that the sample average $\bar{X}_{16}$ exceeds 49,000 miles, $Pr(\bar{X}_{16} \ge 49,000) = $

          Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a
mean $\mu = 50,000$ miles but with some unknown standard deviation $\sigma$. Suppose
that a sample of $n = 16$ pads is tested for their 'life-times' yield $S = 2500$ as the
sample estimate $\sigma$. Find the probability that the sample average $\bar{X}_{16}$ exceeds
49,000 miles,
$Pr(\bar{X}_{16} \ge 49,000) = $

Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a
mean μ = 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 X̅16 exceeds
49,000 miles,
Pr(X̅16≥ 49,000) =

Added by Todd H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Dominador Tan

Step 1

- Mean (μ) = 50,000 miles - Sample size (n) = 16 - Sample standard deviation (S) = 2,500 miles - We need to find Pr(𝑋̄₁₆ ≥ 49,000). Show more…

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Suppose that the 'life-time' of Disc Brake pads has a Normal distribution with a mean μ = 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(X≥49,000)=