Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 20th, 25th, 58th, and 68th percentiles. If needed, round your answers to two decimal digits.

Percentile   Value
20%   *

25%   *

58%   *

68% *

27. In a perfectly competitive market,
A) firms can freely enter and exit.
B) firms sell a differentiated product.
C) transaction costs are high.
D) All of the above.

28. The "Got Milk?" advertising campaign is a good example of
A) advertising in a competitive market.
B) how advertising in a competitive market does not pay off for a single firm.
C) interest groups financed by the industry advertise for the whole industry.
D) All of the above.

29. A bike builder owns a bike shop earns $18,000 in revenue weekly. She pays $8,000 as
explicit costs and owns the shop so no rent is paid. The bike builder could work for other bike
shop and earn $10,000 per week. Her business profit is ________ and her economic profit is
________.
A) $10,000, $10,000
B) $28,000, $10,000
C) $10,000, $0
D) $8,000, $0

30. If the company E-bikes R US is producing at a level where losses are minimized, the
company
A) has no incentive to stay in the industry.
B) is better of exiting the industry.
C) is maximizing profits.
D) will shut down.

31. Suppose the company E-bikes R US produces bike seats and has an estimated fixed cost
of $7,000 and not sunk. The estimated variable cost for each bike seat is $20. The market
price for a bike seat is $25 each and the owner can sell 1000 bike seats at most each year. In
the long run, the owner
A) should shut down.
B) should keep operating.
C) should sell less.
D) None of the above.

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 18th, 23rd, 59th, and 69th percentiles. If needed, round your answers to two decimal digits.

30)A pianist plans to play 6 pieces at a recital from her repertoire of 27 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible?
31)Suppose a designer has a palette of 9 colors to work with, and wants to design a flag with 2 vertical stripes, all of different colors.

How many possible flags can be created?

32)From a group of 8 people, you randomly select 5 of them.

What is the probability that they are the 5 oldest people in the group?

Give your answer as a fraction

33)You pick 6 digits (0-9) at random without replacement, and write them in the order picked.

What is the probability that you have written the first 6 digits of your phone number? Assume there are no repeats of digits in your phone number.

Give your answer as a fraction.

36)A girl has 7 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear? (Assume that each item matches all the others, so she is willing to wear any combination.)
Your answer is

37)Standard automobile license plates in a country display 2 numbers, followed by 2 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)
Your answer is

38)A true-false test contains 21 questions. In how many different ways can this test be completed. (Assume we don't care about our scores.)
Your answer is

39)How many three-letter "words" can be made from 9 letters "FGHIJKLMN" if repetition of letters
(a) is allowed?
Your answer is :   
(b) is not allowed?
Your answer is

40)In how many ways can first, second, and third prizes be awarded in a contest with 245 contestants?
Your answer is


41)Find the number of distinguishable permutations of the given letters "AAABBBCC".
Your answer is

27) Bonds issued by Fairfax Mechanical were priced at 993.39 dollars six months ago and are priced at 978.2 dollars today. The bonds have a face value of 1,000 dollars, pay semi-annual coupons, and just made a coupon payment. The bonds had a percentage return over the past six months (from 6 months ago to today) of 6.5 percent. What is the coupon rate of the bonds? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.

31

Bonds issued by Oxygen Optimization were priced at 891.76 dollars 6 months ago. The bonds pay semi-annual coupons, have a coupon rate of 9.56 percent, just made a coupon payment, and have a face value of 1,000 dollars. If the bonds had a percentage return over the past 6 months (from 6 months ago to today) of -3.41 percent, then what is the current yield of the bonds today? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.

Question 32

Bonds issued by Fairfax Paint have a par value of 1000 dollars, were priced at 856.92 dollars six months ago, and are priced at 783.58 today. The bonds pay semi-annual coupons and just made a coupon payment. If the bonds had a percentage return over the past 6 months (from 6 months ago to today) of -2.35 percent, then what was the current yield of the bonds 6 months ago? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.

(27 pts total) What follows is hypothetical Excel output for doing regression of y on x. The regression equation is: ^y = 54:6429 + 0:9451x Source DF SS MS F P Regression 1 130.0396 130.0396 20.7812 0.0019 Residual Error Total 9 180.1000 (a) (3 pts) Complete the ANOVA table above by lling in the \Residual Error" row above. (b) (6 pts) What are the values of the regression standard error s and the coecient of determination r2? (c) (6 pts) Write down a null hypothesis H0 and an alternative hypothesis Ha that the P-value 0:0019 in this chart is referring to. Should you reject the null hypothesis at the 1% level of signcance? To what type of error are you now subject to? (d) (4 pts) Suppose SSxx = 145:6. Calculate the t statistic for the test in part (c) and conrm the P-value using the t-table. There are a couple dierent ways this could be done. Choose one, but show your work and/or explain. (e) (8 pts) Suppose x = 20:8 and SSxx = 145:6. Give a 90% prediction interval for the value of y when x = 24. Describe the meaning of this interval in relation to the population

3-27. The Georgeville city government provides a wide variety of services to the community. Among
them is the protection provided by the police force. In order to provide that force, it spends $3 million
on salaries, $200,000 on vehicle costs, and $300,000 on supplies.
The police force expects to have 7,000 measurable actions, consisting of 1,000 arrests, 4,000 traffic
citations, and 2,000 responses to emergency calls. It has noted that the average cost for each one of these
actions is $429 if you simply divide the $3 million department cost by the 7,000 specific individual
actions. Some have argued that it is not cost-effective to give out traffic tickets since the $429 cost per
ticket exceeds the fine collected. The Georgeville Police Department is considering adopting a
performance budget. The performance areas would be arrests, citations, and emergency responses.
The Police Department believes that activities related to making arrests consume 30 percent of salaries
and 40 percent of supplies. Traffic citations consume 30 percent of salaries and 10 percent of supplies.
Emergency response takes up 15 percent of salaries and 25 percent of supplies. Additionally, it performs
many other activities that collectively take up 25 percent of salaries and 25 percent of supplies. The
Police Department also estimates that its vehicles are used 25 percent for arrests, 30 percent for
citations, andand 5 percent for emergency responses. How much money is budgeted for each arrest,
citation, and emergency response? Regardless of your answer, assume that the cost per traffic citation
exceeds the average fine collected. Should the police cease issuing citations? Why?

Last year,a comprehensive report stated that 27% of businesses in northeast of Ohio were considered highly profitable. This year, based on a sample of 46 business owners, a survey your team conducted indicated that 23 businesses were highly profitable. Would you conclude that the proportion of businesses that are highly profitable increased or decreased from last year with a statistical significance? Use a statistical hypothesis test to determine this, using a 1% significance level. (Note from the Instructor - Think about this concept for your studying purposes) For you answer in this problem - give the calculated test statistic you would come up with in step 5 of the hypothesis testing process. Give answer to 3 decimal places.

The COVID-19 pandemic, which hit Sri Lanka on 27 January 2020 with the first
case, and as at 21 st May 2020 reached 1,045 confirmed cases and have reported 9
deaths. The country has been undergoing a long lock-down period of more than 50
days, bringing most of the business to a standstill over a period of 2 months. The
pandemic has brought in many changes, and along with that challenges to the
organization, both economical as well as managerial.
Identify a public quoted company or a private organization, which employs more than
100 staff in Sri Lanka and is undergoing difficulties due to the COVID-19 pandemic.
Critically analyze the challenges the organization has at hand in handling its
workforce.
As an organization development professional, what would be the recommendation
and solution you would suggest to improve or resolve the current challenges related
to the workforce.

Critically evaluate,
1. The challenges and issues the organization faces
2. The applicability of theories in analyzing the situation and challenges

3. The recommendations and how it would help to overcome the challenges and
issues.

Given the sample data.

x:

• 21,
• 19,
• 13,
• 32,
• 27

(a)

Find the range. (Enter an exact number.)

(b)

Verify that Σx = 112 and Σx² = 2,724. (For each answer, enter an exact number.)
Σx =  

(c)

Use the results of part (b) and appropriate computation formulas to compute the sample variance s² and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)
s² =  
s =  

(d)

Use the defining formulas to compute the sample variance s² and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)
s

(e)

Suppose the given data comprise the entire population of all x values. Compute the population variance σ² and population standard deviation σ. (For each answer, enter a number. Round your answers to two decimal places.)
σ² =  
σ =