SLIX wax is developing a new high performance fluorocarbon wax for cross country

Question

SLIX wax is developing a new high performance fluorocarbon wax for cross country ski racing designed to be used under a wide variety of conditions. Suppose they want the new wax to have a mean time to finish their standard test course of 3 k to be less than 12 minutes. They have a consultant do the course over 8 days with similar conditions, and they measure the finishing times to complete the course for each try using the new wax.

a. Identify what a type I error would be in this problem

b. Identify what a type II error would be in this problem.

c. State the consequences of a type I error for SLIX.

d. State the consequences of a type II error for SLIX

Explanation / Answer

(a) Rejecting Ho: 12 when is in fact 12 or more

(b) Failing to reject 12 when is in fact less than 12

(c) SLIX will be incorrectly accepting the new wax whereas it should in reality be discarded

(d) SLIX will be losing new wax which in fact meets the specifications.

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