Jennings Assembly in Hartford, Connecticut, uses a component supplied by a company in Brazil. The component is expensive to carry in inventory and consequently is not always available in stock when requested.
Furthermore, shipping schedules are such that the lead time for transportation of the component is not a constant. Using historical records, the manufacturing firm has developed the following probability distribution for the product's lead time. The distribution is shown here, where the random variable is the number of days between the placement of the replenishment order and the receipt of the item.x P(x)2 0.153 0.454 0.305 0.0.756 0.025What is the average lead time for the component?A) 2.375
B) 2.875
C) 3.275
D) 3.375
Question 2The U.S. Bureau of Labor Statistics (
www.bls.gov) released its Consumer Expenditures report in October 2008. Among its findings is that average annual household spending on food at home was 3,624.
Suppose a random sample of 137 households in Detroit was taken to determine whether the average annual expenditure on food at home was less for consumer units in Detroit than in the nation as a whole. The sample results are in the file Detroit Eats. Based on the sample results, can it be concluded at the = 0.02 level of significance that average consumer-unit spending for food at home in Detroit is less than the national average?A) Because t = -13.2314 is less than the critical t value of -1.4126, do not reject H0.
The annual average consumer unit spending for food at home in Detroit is not less than the 2006 national consumer unit average
B) Because t = -13.2314 is less than the critical t value of -1.4126, reject H0.
The annual average consumer unit spending for food at home in Detroit is less than the 2006 national consumer unit average
C) Because t = -15.7648 is less than the critical t value of -2.0736, do not reject H0.
The annual average consumer unit spending for food at home in Detroit is not less than the 2006 national consumer unit average.
D) Because t = -15.7648 is less than the critical t value of -2.0736, reject H0.
The annual average consumer unit spending for food at home in Detroit is less than the 2006 national consumer unit average.