Management of a soft-drink bottling company has the business objective of develo

Question

Management of a soft-drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. To begin, management decided to develop a regression model to predict delivery time based on the number of cases delivered. A sample of 20 deliveries within a territory was selected The regression output is given below: Simple Linear Regression Analysis Rearession Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.9858 0.9718 0.9702 1.9865 20 ANOVA Sianificance F 0.0000 MS Regression Residual Total 2443.4660 2443.4660 619.1956 18 19 71.0315 3.9462 2514.4975 cents Standard Error 24.8345 0.1400 P-value 1.0542 23.5573 0.0000 0.0056 24.8836 0.0000 Lower 95% Upper 95% 22.6197270494 0.1518 tstat Lower 95% Upper 95% Intercept Number of Cases 22.6197 0.1282 27.04936 0.15185 0.1282 At the 0.10 level of significance, is there evidence that delivery times depend on the number of cases delivered? Step 1: The null hypothesis is Ho: Step 1: The alternative hypothesis is H1 A, A =0 B. A0 c, = 0 - · Step 2: The value of the test statistics is Step 3: The p-value of the test statistic is -Step 4: Your decision is to Step 5: Your conclusion is that What is the correct interpretation for the 95% confidence interval estimate for the population slope ? - - E. do not reject Ho F reject Ho G. there is insufficient evidence that delivery times do not depend on the - number of cases delivered. cases delivered. number of cases delivered. cases delivered. H. there is insufficient evidence that delivery times depend on the number of I. there is sufficient evidence that delivery times do not depend on the J. there is sufficient evidence that delivery times depend on the number of K. We are 95% confidence that the population slope is somewhere L. We are 95% confidence that the population slope is somewhere M. The probability is 95% that the population slope is somewhere N. The probability is 95% that the population slope is somewhere between 0.1282 and 0.1518. between 22.6197 and 27.0494 between 0.1282 and 0.1518 between 22.6197 and 27.0494 O. 0.0000 P 23.5573 Q. 24.8836

Explanation / Answer

a) reject Ho

b) 0

c) 24.8836

d) p value = 0.000

e) Reject Ho

f) Conclusion:

J...Sufficient evidence....

g) K

We are 95% confidence that.....

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