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  3. 2. a firm is considering the delivery times of two

2. A firm is considering the delivery times of two raw material suppliers, A and B....

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Basic Math

2. A firm is considering the delivery times of two raw materialsuppliers, A and B. The firm is basically satisfied with supplierA; however, if the firm finds the mean delivery time of supplier Bis less than the mean delivery time of supplier A, the firm willbegin purchasing raw materials from supplier B (meaning, switchfrom supplier A to supplier B). Independent samples (assume equalpopulation variances) show the following sample data for thedelivery times of the two suppliers:

SUPPLIER

SUMMARY DATA

A

B

Sample Mean

15 days

12 days

Sample Standard Deviation

5 days

4 days

Sample Size

61

41

a. State the null and alternative hypotheses for thissituation.
b. Describe what a Type I Error would be in this situation (pleasebe as specific as possible).
c. If ? = 0.01, what is the critical value of the associated teststatistic?
d. What is the calculated value of the associated teststatistic?
e. State your decision about the null hypothesis by comparing thecritical and calculated values of the test statistic (Parts c andd).
f. What action do you recommend in terms of supplier selection?

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