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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.

At the 1 % significance level, what is your conclusion?

Short Answer

Expert verified

At a 1%significance level, there will be sufficient evidence to reject the null hypothesis. The evidence suggests that the melting point of alloy Gamma differs from that of alloy Zeta.

Step by step solution

01

Given Information

The table is


Sample Mean Melting TemperaturesF0
Population Standard Deviation
Alloy Gamma80095
Alloy Zeta900105
02

Determine at the 1% significance level, what is your conclusion.

1%Reject the null hypothesis because the a>p-value is 0.01>0.00623.

At a 1%significance level, there will be sufficient evidence to reject the null hypothesis. The evidence suggests that the melting point of alloy γdiffers from that of alloy Zeta.

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