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Chapter 10: Q. 41P (page 598)

Use the following information to answer the next five exercises. Two metal alloys are being considered as material for ball bearings. The mean melting point of the two alloys is to be compared. 15 pieces of each metal are being tested. Both populations have normal distributions. The following table is the result. It is believed that Alloy Zeta has a different melting point.

State the null and alternative hypotheses.

Short Answer

Expert verified

Subscript:\(1=Gamma,2=Zeta\)

\(H_{0}:\mu_{1}=\mu_{2}\)

\(H_{a}:\mu_{1}\neq \mu_{2}\)

Step by step solution

01

Step 1. Given information

Given table-

02

Step 2. Calculation

The null and alternative hypotheses is given by,

Subscript:\(1=Gamma,2=Zeta\)

\(H_{0}:\mu_{1}=\mu_{2}\)

\(H_{a}:\mu_{1}\neq \mu_{2}\)

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