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A major furniture company has a line of couches designed for apartment dwellers. These couches need...

  1. A major furniture company has a line of couches designed for apartment dwellers. These couches need to be light enough to be carried up flights of stairs. The lead engineer wants to use a new type of material. The engineer claims that the new couches will be lighter than the old couches.


They take a sample of 10 couches manufactured using the old material and compute an average weight of 350 lbs with a standard deviation of 20 lbs.

They take a sample of 10 couches manufactured using the new material and compute an average weight of 340 lbs with a standard deviation of 15 lbs.

  1. Conduct an appropriate hypothesis test using the p-value method. Use the old material as population 1.
  2. How much evidence is there against the null hypothesis in part (a)?

Explain what a Type I Error means in this context

Math   Statistics-And-Probability   
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