Problem 1] The melting points of two alloys used in formulating solder were investigated by melting 21 samples of each material. The sample mean and standard deviation for alloy 1 was 11 = 42 EFF and $1 = 41F, while tor alloy 2 ate-I: were f2 = 426'? and 52 = EDF. Does the data support the claim that both allovs have the same melting point?I Assu me that both populations are normally distributed and have the same standard deation. Use c: = 0.05. I. Pmmetlr of Interest. State the parameter of interest. hclucllng units. 1. Hypothesis Statements: Determine the null and alternative hypotheses. than\" significance level: Select a level of signicance, a. based on the seriousness of making a Tvpe I error. Test Statistic: Chm the appropriate test statistic. Compute the test statistic. P!" 5. Critical Value: Determine critical valuels] and put on graphic. 6. Conclusions: Place 'evidenoe' on graphic and compare. State "Given the null is true, the evidence is {not} surprising [or umsudll. so re|ect Hg or fall to reiect Hg." 7. P-mllue: Compute p-value and state, \"Given the null is true: there is a _ chance, we would get what we got. Supports rejecting or failing to reject the null.\" 3. Condence Interval: Construct the appropriate condence interval around the parameter oi interest. 9. Interpretation: State conclusions in terms of parameter of interest and hypothesis statements