(Continued from the previous question) To counter no-shows, the airline is considering overbooking by selling 20 additional tickets, for a total of 220 tickets. The airline will be able to sell all 220 tickets given the high demand. If more passengers show up than there are available seats, the airline will have to compensate those passengers who cannot be accommodated. The compensation amount is normally distributed with a mean of $650 and a standard deviation of $100. Set up and run a simulation of 1,000 trials. Based on your simulation results, find and report the approximate probability that the revenue obtained from this overbooking strategy will exceed the revenue from Question 12. Would you recommend that the airline implement the overbooking policy? Why or why not?

Le Bola is a luxury fragrance company that specializes in crafting bespoke perfumes. The company produces two signature scents by the bottle: Mixed Signals and Essence of Confusion. Both perfumes undergo three stages of production: extraction, blending, and bottling. The table below shows the time required to produce one bottle of each perfume (in minutes), the available time for each process (in minutes), and the profit contribution per bottle (in dollars).   Production Time (Minutes) Time Available (Minutes) Mixed Signals Essence of Confusion Extraction 3 5 580 Blending 2 6 550 Bottling 3 4 470 Profit Per Bottle ($) 18 25 Le Bola wants to determine how many bottles of each type to produce in order to maximize the total profit. You are allowed to produce a fraction of a bottle (i.e., do not constrain the quantity to be an integer). Please round all answers to the nearest integer, no commas or dollar signs. Mixed Signals: [a] Essence of Confusion: [b] Profit: [c] If we increased the available extraction time by a minute, how much would our profit change? [d]

Carbon emission scope:  Typically refrigerant leaks belong to Scope 1 emission.  The heating/cooling consumption of its own data center belongs to scope 2 emission.  Scope 3 emission includes all upstream (i.e., cradle-to-gate) emissions from producing products and services purchased or acquired by the reporting company in the reporting year.

The weekly demand for a product follows a normal distribution with a mean of 70 and a standard deviation of 15. What would be the weekly demand if its corresponding computer-generated random number (i.e., area under the curve to the left of the value we want to generate) is 0.3? Please round to the nearest integer.

Determine if the following prompt describes an experiment or observational study. Waymo monitors passenger satisfaction in its autonomous vehicles over a one-year period in order to examine whether passenger ratings are correlated with the length of the ride.

A group of 80 homeowners wants to investigate whether the type of paint and room lighting affect the perceived brightness of a room. Half of the participants were put in a room with matte finish paint, and the other half were put in a room with gloss finish paint. Within each paint finish group, 10 participants evaluated the room under LED lighting, 10 under incandescent lighting, 10 under fluorescent lighting, and 10 under natural daylight. The design of this experiment is a 2×4 factorial design with Paint Finish having two levels and Lighting Type having four levels. At the end of the evaluation, participants measured and reported the perceived brightness of the room in lumens. The data is shown below. LED Incandescent Fluorescent Natural Matte finish 270 180 330 105 Matte finish 235 355 260 140 Matte finish 40 320 85 175 Matte finish 115 285 155 10 Matte finish 80 320 120 245 Matte finish 10 20 15 140 Matte finish 10 320 50 10 Matte finish 80 145 120 210 Matte finish 120 75 155 210 Matte finish 290 285 330 220 Gloss finish 140 250 185 220 Gloss finish 180 460 220 360 Gloss finish 190 250 220 220 Gloss finish 285 355 325 95 Gloss finish 75 250 115 255 Gloss finish 60 250 90 325 Gloss finish 60 425 100 395 Gloss finish 350 425 395 360 Gloss finish 355 145 395 430 Gloss finish 140 215 185 360 Conduct an ANOVA. Use a level of significance (alpha) of 0.05. What is the F-statistic for the Paint Finish main effect? Round to one decimal place [a] What is the F-statistic for the Lighting Type effect? Round to one decimal place [b] What is the F-statistic for the interaction between Paint Finish and Lighting Type? Round to one decimal place [c]

Spiritual Airlines is operating a 200-seat flight from Phoenix to Boston during the peak holiday season, where demand far exceeds the number of available seats. Each plane ticket is priced at $350. Due to the high demand, the airline will be able sell all 200 tickets. Historically, however, some passengers fail to show up for their flights. The airline estimates that the number of no-show passengers follows a uniform distribution between 5 and 20. Assume there are no stand-by passengers, and the airline does not refund no-show tickets. For instance, if 10 passengers do not show up, the airline will fly with 190 passengers but still receive revenue for all 200 tickets sold. What is the airline’s revenue for this flight? Hint: Do not overthink this!

The shadow price of a constraint represents the change in the optimal objective value if the right-hand-side of the constraint increased by ________________.

In a randomized design study involving one factor, the F-statistic in ANOVA is calculated by dividing the __________ variance by the within-group variance.

Below are the results from a 3×5 factorial experiment with 150 observations in total. Please complete the table. Report df as an integer and all other values to one decimal place. df SS MS F Factor A 2 965.6 482.8 99.1 Factor B [a] [b] [c] [d] A*B 8 12.9 1.6 0.3 Error 135 657.6 4.9   Total [e] 2266.7