4. A company th (in kilonewtons) of the wires is greater than 50. The quality co

Question

4. A company th (in kilonewtons) of the wires is greater than 50. The quality control inspector takes a sample of wires and measures their strength to test Ho : -50 versus Ha : > 50. at manufactures steel wires guarantees that , the mean breaking strength If Type I error is made, what conclusion was drawn regarding the mean breaking strength? Describe consequences of Type I error in this situation. If Type II error is made, what conclusion was drawn regarding the mean breaking strength? Describe consequences of Type II error in this situation. This test uses one-tailed alternate hypothesis. Explain why a one-tailed hypothesis is more appropriate than a two-tailed hypothesis in this situation. a. b. c. d. e.

Explanation / Answer

a) Type I error : Reject H0 when it is true

Actual decision is mean beaking strength is not greater than 50

But we reject the above statement.

b) it is going to be consumer's risk

since mean breaking strength is not in desired specfications actaully

c) Type II error : Do not reject H0 when it is false

in indicates Actual decision is mean breaking strength is greater than 50

but we above statement is decided as wrong by researcher

d) it is going to be producer's risk, since researcher decided produck is not upto to mark

so production is not reached to the market.

e) since breaking strength should be increased, i.e 'greater than' is the desired specification

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