With the above information, answer the following:

a. For the Boston shingles, is there evidence at the 0.05 level of significance that the population means the weight is different from 3,150 pounds? Why? Use both the critical value method and p-value method to complete the test.

b. For the Vermont shingles, is there evidence at the 0.05 level of significance that the population means the weight is different from 3,700 pounds? Why? Use both the critical value method and p-value method to complete the test.

 

10.69 Mean weights of Boston and Vermont shingles are the same. %3! cont. Ani = "rn : H Mean weights of Boston and Vermont shingles are different. Separate-Variances t Test for the Difference Between Two Means (assumes unequal population variances) Data Hypothesized Difference Level of Significance 0.05 Population 1 Sample Sample Size Sample Mean 368 3124.214674 Sample Standard Deviation 34.71299377 Population 2 Sample Sample Size Sample Mean Sample Standard Deviation 330 3704.042424 46.74432189 Intermediate Calculations Numerator of Degrees of Freedom 97.9257 Denominator of Degrees of Freedom Total Degrees of Freedom Degrees of Freedom Separate Variance Denominator Difference in Sample Means 0.1625 602.7216 602 3.1457 -579.8277503 Separate-Variance t Test Statistic -184.3210 Two-Tail Test Lower Critical Value -1.9639 Upper Critical Value p-Value 1.9639 0.0000 Reject the null hypothesis Since the p-value is essentially zero, reject H.. There is sufficient evidence to conclude that the mean weights of Boston and Vermont shingles are different.