Question

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

Subscripts : 1= Gamma, 2= Zeta

$H_0:{\mu }_1={\mu }_2$

$H_0:{\mu }_1\ne {\mu }_2$

Step-by-step solution

Given Information

The table is

	Sample Mean Melting Temperatures$\left({}^{0}F\right)$	Population Standard Deviation
Alloy Gamma	800	95
Alloy Zeta	900	105

State the null and alternative hypotheses.

The null and alternative hypotheses is given by,

Subscripts : 1= Gamma, 2= Zeta

$H_0:{\mu }_1={\mu }_2$

$H_0:{\mu }_1\ne {\mu }_2$