nother Version llowskylntroStat1 7.PR.045 A manufacturer produces 25-pound lifti

Question

nother Version llowskylntroStat1 7.PR.045 A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the hig equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. hest is 26 pounds. Each weight is Find the 80th percentile for the total weight for the 100 weights. (Round your answer to two decimal places.) lb Grade This Show Answer Try Again Cilick Grade This after you answer a question, and then olick Show Answer, After answoring allquestion parts, you can click Try Again

Explanation / Answer

Let X be the total weight for 100 weights.

Lowest actual weight for 100 weights,a = 24 × 100 = 2400 pounds

Highest actual weight for 100 weights,b = 26 × 100 = 2600 pounds

Now, since the distribution of weights is uniform

F(x) = (x - a)/(b - a)

where F(x) denotes the xth percentile for the total weight.

Thus, for 80th percentile,

0.8 = (x - 2400)/(2600 - 2400)

-> x = 2560

Thus, the answer is 2560 lb

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