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The Boss is a small Italian restaurant with 6 waiters and waitresses. The average service time at the restaurant for a table (of any size) in 80 minutes (exponentially distributed). The restaurant does not take reservations and parties arrive for dinner (and stay and wait) every 16 minutes (Poisson distributed). The restaurant is concerned that a length waiting time might hurt its business in the long run. What is the current waiting time and queue length for the restaurant? Discuss the quality implications of the current waiting time and any actions the restaurant might take.
What are the primary advantages and disadvantages of employing sampling in this application?
A survey dating back to the 1990's suggested that Americans anticipated a reduction in living standards and that a steadily increasing consumption no longer might be as important as it was in the past. (Were they right?)
You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is the alternate hypothesis?
Assuming for a moment that 35% of all Ralph's customers have a discount card, what is the probability of getting a sample proportion at least this big?
The combined production level should not exceed 1200 units per month. The demand for product II is no more than half the demand for product I.
Calculate chi-square for the cross-tab. Show your work. Is there a statistically significant relationship between these variables?
How large should the sample be if I want to maintain a 95 percent level of confidence and suffer a maximum error of $2.00 in my estimate of the highest price consumers are willing to pay?
Range of numbers: What is the first and third quartile? What is the second decile and the eighth decile? What is the 67th percentile?
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in language that she can understand.
As part of his review for a chemistry test, a student randomly selects (without replacement) 40 out of 102 elements listed on the standard tables, and tries to guess their atomic numbers.
Assume we have a population of scores with a mean of 975 and a standard deviation of 15. Assume that the distribution is normal. Provide answers to the following questions:
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