1. The following data represent the scores on a test for 36 students in a Sociology class, followed by a stem plot for the data.

65 76 83 81 74 78 41 57 82 50 90 81 63 68 80 85 76 73 79 48 80 75 72 70 75 74 94 87 81 78 64 83 77 72 79 86

4 1 8 5 0 7 6 3 4 5 8 7 0 2 2 3 4 4 5 5 6 6 7 8 8 9 9 8 0 0 1 1 1 2 3 3 5 6 7 9 0 4   

X = ______________________________________________________

ON ALL OF THE FOLLOWING PROBLEMS, SHOW ALL WORK AND LABEL YOUR ANSWERS WITH THE APPROPRIATE UNITS. LABEL ALL AXES ON ANY GRAPHS.

a. Find: median mode(s) range





------------------------------------------------------------------------------------------------------------------------------------------- b. Find and interpret the value for Q1. Show all work.
value of Q1 interpretation







------------------------------------------------------------------------------------------------------------------------------------------- c. Find the values ONLY of Q3 and P85. Show all work.
value of Q3 value of P85

(#1 cont’d)
!!!! DON’T FORGET TO PUT UNITS ON YOUR ANSWERS AND LABEL AXES ON GRAPHS !!!!


d. Give a five-number summary e. Construct a box plot for the test scores. for the test scores.

position value
__________ _____________
__________ _____________
__________ _____________
__________ _____________ _____________________________________________
__________ _____________

----------------------------------------------------------------------------------------------------------------------------------------------- f. Calculate the fences and list the outlier(s) in this set of scores. Construct a modified box plot to clearly show the outlier(s).

calculations lower fence ___________
upper fence ___________
outliers ________________






-------------------------------------------------------------------------------------------------------------------------------------------- g. Construct a modified box plot to clearly show the outlier(s). Label ALL critical positions with their corresponding values.










___________________________________________________________________

2. A random sample of 8 of the tests was chosen and their scores are given below. Calculate the sample mean, the sample variance and the sample standard deviation. Show all work.

78 64 81 75 50 85 79 72

mean








--------------------------------------------------------------------------------------------------------------------------------------------------
variance   

























-------------------------------------------------------------------------------------------------------------------------------------------------- standard deviation

3. The five number summary and the modified box plot for a set of test scores are given below.

five number summary: 33 68 80 86 97

  

modified box plot: 68 80 86 33 38 40 44 _______________________ 97

* * * | | _______________________ ______________________________________________________________________________________ 30 40 50 60 70 80 90 100 test scores   


X = _____________________________________________________________



a. What percent of the students scored at least an 86? ________________


b. What percent of the scores is between 33 and 80? ________________


c. The score of 80 is which of the following? mean median Q1 Q3


d. What percent of the scores is 80 or less? ________________


e. The minimum score for this distribution is ____________ and the maximum is _____________ .


f. List all outliers. ___________________________________


g. What is the value of Q3? ______________


h. Find the fences. Show all work. lower _____________ upper _____________

4. The average height of a 6th grade boy is 58 inches with a standard deviation of 2 inches. The average height of a 9th grade boy is 65 inches with a standard deviation of 3 inches. Both height distributions are bell-shaped.

a. If a 9th grade boy is 60 inches, which of the following is true based on the z-score for his height? Show work.
_____ His height is 1.67 inches below the mean. _____ His height is 1.67 inches above the mean. _____ His height is 1.67 standard deviations below the mean. _____ His height is 1.67 standard deviations above the mean.
-------------------------------------------------------------------------------------------------------------------------------------------------- b. If a 6th grade boy is 55 inches, which of the following is true based on the z-score for his height? Show work.
_____ His height is 1.5 inches below the mean. _____ His height is 1.5 inches above the mean. _____ His height is 1.5 standard deviations below the mean. _____ His height is 1.5 standard deviations above the mean.
-------------------------------------------------------------------------------------------------------------------------------------------------- c. Who is taller for his age: the 55-inch tall 6th grade boy or the 60-inch tall 9th grade boy? _____ The 9th grader is taller because his height is farther from the mean than the 6th grader’s. _____ The 9th grader is taller for his age because 60 inches is greater than 55 inches. _____ The 6th grader is taller because his height is closer to the mean than the 9th grader’s. _____ The 6th grader is taller because his height is not as far below the mean as the 9th grader’s.

-------------------------------------------------------------------------------------------------------------------------------------------------- d. Using the Empirical Rule, approximately ______ percent of 9th grade boys have heights between 59 inches and 71 inches. Show work to support your answer.







-------------------------------------------------------------------------------------------------------------------------------------------------- e. Using the Empirical Rule, approximately 99.7% of 6th grade boys fall between heights of _______________ and ______________. Show work to support your answer

You are the editor of a publishing company and are careful to register all of your books with the U.S. Copyright Office. One of your star authors, Jackie Yolan, just published his latest crime mystery, “Seven Ways to Get Away.” The new book is popular in the United States, and you are interested in distributing the novel abroad. You soon learn that a company in India is publishing a very similar book in the Hindi language. You believe the book will be as popular in India as it is in the United States. You believe that the Indian publication would violate your U.S. copyright rights, but are not sure about your international rights. Discuss whether your publication is protected in India and why.

The recent collapse of some banks and financial institutions and the merger of others in ghana is proof that the financial system which consists of institutional units and markets that interact, typically in a complex manner, for the purpose of mobilizing funds for investment and providing facilities, including payment systems, for the financing of commercial activity remains unprotected in spite of the the presence of the Regulator and a solid legal system backing it. From the discussion in class and available literature, examine some of the difficulties associated with the financial system and how these challenges have been addressed by the Banks and Specialised Deposit Taking Institutions Act 2016 (Act 930). Are there any novel ways by which some of the challenges may be resolved in your opinion?

​(EOQ

calculations​)

A downtown bookstore is trying to determine the optimal order quantity for a popular novel just printed in paperback. The store feels that the book will sell at four times its hardback figures. It​ would, therefore, sell approximately

4 comma 0004,000

copies in the next year at a price of​ $1.50. The store buys the book at a wholesale figure of​ $1. Costs for carrying the book are estimated at

​$0.250.25

a copy per​ year, and it costs

​$1010

to order more books.a. Determine the

EOQ.

b. What would be the total costs for ordering the books​ 1, 4,​ 5, 10, and 15 times a​ year?

c. What questionable assumptions are being made by the EOQ ​model?

The recent collapse of some banks and financial institutions and the merger of others in Ghana is proof that the financial system which consists of institutional units and markets that interact, typically in a complex manner, for the purpose of mobilizing funds for investment and providing facilities, including payment systems, for the financing of commercial activity remains unprotected in spite of the the presence of the Regulator and a solid legal system backing it. From the discussion in class and available literature, examine some of the difficulties associated with the financial system and how these challenges have been addressed by the Banks and Specialised Deposit Taking Institutions Act 2016 (Act 930). Are there any novel ways by which some of the challenges may be resolved in your opinion?