# Significance level

The manufacturer of Trilene braided fishing line claims that the average number of gamefish that can be landed before the line needs to be replaced on the reels is 5,000. The standard deviation of the number of fish landed is 600. Denny sampled 60 of his big game rods on his fleet of sport fishing boats and determined that the average number of fish landed before the line had to be replaced was 4800. Does Denny have a product liability complaint at the .10 significance level? Was Denny's experience in performance different from that claimed by Trilene?

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#### Solution Preview

Hi,

Please see response to your posting as explained below.

Step 1: Formulate null and alternate hypothesis

To answer the questions raised we need to test if the sample mean is significantly different from estimated population mean.

Null: Sample is equal to population mean

Alternate: Sample mean is not equal to population mean

Step 2: Identify data values. We note that population parameters are given.

Population mean, mu = 5000

Population standard deviation, sigma = 600

Sample mean, mubar = 4800

Sample size, n = 60 (normal ...

#### Solution Summary

Solution explain how to test if the sample mean is significantly different from estimated population mean.