For the following data, solve for the following:

(e) Suppose that for some reason it is desirable to compare the mean strength of B lead to the average of the mean strengths of 4H and H leads. Give a 95% two-sided confidence interval for the quantity 12(4H+H)B.

(h) Use the one-way ANOVA test statistic and assess the strength of the evidence against H0H0H0H0:4H=H=B4H=H=B4H=H=B4H=H=B in favor of HaHaHaHa: notH0.notH0.notH0.notH0. Show the whole five-step format.

(i) Make the ANOVA table corresponding to the significance test you carried out in the part (h).

(j) As a means of checking your work for parts (h) and (i) of this problem, use a statistical package to produce the required ANOVA table, F statistic, and p-value.

Thanks.

Hoffman, Jabaay, and Leuer did a study of pencil lead strength. They loaded pieces of lead of the same diameter (supported on two ends) in their centers and recorded the forces at which they failed. Part of their data are given here (in grams of load applied at failure). 4H lead H lead B lead 56.7 99.2 56.7 63.8 99.2 63.8 56.7 92.1 70.9 63.8 106.0 63.8 49.6 99.2 70.9 Hoffman, Jabaay, and Leuer did a study of pencil lead strength. They loaded pieces of lead of the same diameter (supported on two ends) in their centers and recorded the forces at which they failed. Part of their data are given here (in grams of load applied at failure). 4H lead H lead B lead 56.7 99.2 56.7 63.8 99.2 63.8 56.7 92.1 70.9 63.8 106.0 63.8 49.6 99.2 70.9