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.

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

Short answer

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

Given Information

The table is

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

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 $\gamma$differs from that of alloy Zeta.