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Amanda
26 days ago
11

Seventy new jobs are opening up at an automobile manufacturing plant, and 1000 applicants show up for the 70 positions. To selec

t the best 70 from among the applicants, the company gives a test that covers mechanical skill, manual dexterity, and mathematical ability. The mean grade on this test turns out to be 60, and the scores have a standard deviation of 6. Can a person who scores 84 count on getting one of the jobs? [Hint: Use Chebyshev’s theorem.] Assume that the distribution is symmetric about the mean
Business
1 answer:
Free_Kalibri [3.1K]26 days ago
3 0

Answer:

  • As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.

Explanation:

Utilizing Chebyshev’s Theorem is key.

This theorem is valid for any dataset, irrespective of its shape.

Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.

For this data set, the specifics are:

  • mean: 60
  • standard deviation: 6
  • score: 84

The number of standard deviations that 84 is from the mean can be calculated as:

  • k = (score - mean) / standard deviation
  • k = (84 - 60) / 6 = 24 / 6 = 4

Hence, the individual’s score is 4 standard deviations above the mean.

How significant is this?

According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:

  • 1 - 1/4² = 1 - 1/16 = 0.9375

  • This implies that half of 1 - 0.9375 exceed k = 4: 0.03125

  • Consequently, 1 - 0.03125 is below k = 4: 0.96875

With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.

Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.

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Result:

18%

Explanation:

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1 month ago
Before beginning this exercise, you will need to read the Airbnb case. You will also need to review concepts in Chapter 1. The f
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Answer:  

Airbnb acts as a platform for advertising and facilitating transactions for local accommodations rather than owning any properties.  

Large Hotel Chains  

They cater to guests in either single or multiple rooms, offering additional amenities such as luxurious dining and spa services.  

These properties boast stunning views, adding appeal due to the vacation destination.  

Bed and Breakfasts  

Typically smaller, these are often run by owners who provide a few guest rooms within their own home. They focus on bed and breakfast offerings, creating a charming atmosphere to enhance the visitor's experience—many are situated in rural areas or possess a historical background.  

While Airbnb connects travelers and hosts, large hotel chains and bed and breakfasts are tied to municipal, state, and federal regulations.  

Answer 2:  

Large Hotels  

Advantages  

Invest heavily in additional services, targeting all segments of travelers: on-site spa services and high-quality dining.  

Additionally, they provide magnificent views, which contribute to a location's desirability.  

Convenient access to highways and roads  

Disadvantages  

Higher costs - Shifting consumer preferences are moving away from ownership towards sharing/renting to avoid overspending: "A Goldman Sachs study indicated that once an individual uses Airbnb, their inclination for traditional accommodation declines significantly."  

Quaint Inns  

Advantages  

Offer a more personalized, tranquil setting, with the suburban area being a unique selling proposition (as vast establishments might be perceived as impersonal).  

Can reduce effort or resources needed for renting properties intended for commercial use.  

Disadvantages  

Limited number of rooms = restricted sales potential  

Services may be lacking, with breakfast options often limited or basic.  

Airbnb  

Advantages  

Consumer tendencies are shifting from traditional ownership towards sharing/renting.  

Large hotels are leveraging Airbnb’s platform.  

Disadvantages  

Lacks protections for paying guests  

Is heavily dependent on the quality of hosts provided.  

Answer 3:  

People seem to prefer sharing or trading various assets, going beyond traditional means, shifting from luxury watches and apparel to cars, homes, and more. The desire to not own items appears to grow. They seek community connection and a deeper relationship with their hosts, which fuels this preference.  

Answer 4:  

Core components contributing to the success of Airbnb involve their business model that nurtures trust, credibility, and transparency among guests and local hosts.  

Originally, Airbnb thrived on the concept of a "sharing economy." It provides a platform for services while matching demands through peer-reviewed online marketplaces. By harnessing widespread mobile technology and declining costs in tech, Airbnb allows individuals to quickly list various resources. Users can simply log onto the platform and present their offerings. The enterprise is rapidly growing, with a notable investment of $850 million in 2016, propelling its market valuation to approximately $30 billion.  

Answer 5:  

I foresee a bright future for Airbnb as one of the frontrunners in the sharing economy. Hosts, guests, and Airbnb itself stand to benefit from the platform. However, despite this potential, they are still facing several current concerns and future challenges:  

Customer Service: Trust issues persist between hosts and guests. Despite Airbnb's rating system for both parties, reviews can be biased since guests may cater to their interests and those of competitors, impacting host reputations. According to Professor Dolnicar at UQ business school, "this system promotes fair host and guest behavior while penalizing unreliable actions." This approach is contrastingly different from the traditional hotel market.  

Loyalty Programs: Airbnb implements relatively low fees for services provided between hosts and total cost per booking but lacks a loyalty program to incentivize committed hosts and guests.

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Answer:

Simple structure

Explanation:

A sole proprietorship refers to a type of business categorized by the fact that it does not legally exist separately from its owner. This business structure is among the simplest forms for operating or conducting enterprise.

A sole proprietorship lacks recognition as a legal entity; it is tied directly to an individual who owns or manages the business and bears personal liability for its debts.

Thus, in this situation,

Mow and Trim operates as a sole proprietorship characterized by a simple structure.

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