An advertising executive receives an average of 10 telephone calls each
afternoon between 2 and 4 P.M. The calls occur randomly and
independently of one another. (10%)
(a) Find the probability that the executive will receive exactly 13 calls
between 2 and 4 P.M. on a particular afternoon. (5%)
(b) Find the probability that the executive will receive seven calls between
2 and 3 P.M. on a particular afternoon. (5%)
An automobile manufacturer stated that it will be willing to mass produce
electric-powered cars if more than 30% of potential buyers indicate they
will purchase the newly designed electric cars. In a sample of 500 potential
buyers, 160 indicated that they would buy such a product. At 95%
confidence, should the manufacturer produce the new electric powered car?
(15%)
A quality control engineer is interested in the mean length of sheet
insulation being cut automatically by machine. The desired length of the
insulation is 12 feet. It is known that the standard deviation in the cutting
length is 0.15 feet. Suppose the engineer decided to estimate the mean
length to within 0.025 with 99% confidence. What sample size would be
needed? (10%)
A student team in a business statistics course performed a factorial
experiment to invistigate the time required for a customer to decide his/her
order from a menu. The two factors of interest were sex (male and female)
and the design of menu (elegant and traditional). The experiment consisted
of two replicates for each of the four factor combinations. The follows are
the results and please fill in cells (1) to (16) in the following table. Each
incorrect answer will be deducted by one point and the maximum
deduction is 15 points) (15%)
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