An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is and the sample standard deviation is s = 0.22. Find a 99% lower confidence bound on the true Izod impact strength. Assume the data are normally distributed.

Question

Eliza Norton

Mathematics

15 October, 20:30

An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is and the sample standard deviation is s = 0.22. Find a 99% lower confidence bound on the true Izod impact strength. Assume the data are normally distributed.

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Answers (1)

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Brayden · Answer 1

19.673

Step-by-step explanation:

Calculation

M = 19.8

Z = 2.58

sM = √ (0.22) ^2/20) = 0.05

μ = M ± Z (sM)

μ = 19.8 ± 2.58*0.05

μ = 19.8 ± 0.127

M = 19.8, 99% CI [19.673, 19.927].

You can be 99% confident that the population mean (μ) falls between 19.673 and 19.927.