1. You have been asked to ascertain whether there is a relationship between income level and the amount of money donated to the campaign. Sample data concerning these two categorical variables is given in appendix three below. The numbers in the table represent the numbers of supporters in various income categories who have donated certain amounts of money. At both the 2% and 5% levels of significance, is there evidence of a statistical relationship between income level and amount of money donated to the campaign?

                                                            Income Level

Amount Donated <20K [20K,40) [40K,60K) [60K,80K) ≥80K

[$0,$50)                     35        30              18             10             22                      

[$50,$100                  12        25              26             9              18                      

[$100,$150)               6         20              27             7               5                       

[$150,$200)               7         16              25             10              8                       

[$200,$250)               9         8               11             16              7                                   

[$250,$300)               10        7                8              19             13                      

≥$300                         17        9                8              14             19

Match seven of the terms (a-k) with the definitions provided below (1-7):

a.         Tests of details of balances.

b.         Tests of controls.

c.         Substantive test of transactions.

d.         Analytical procedures.

e.         Transaction-related audit objectives.

f.          Management assertions.

g.         Balance-related audit objectives.

h.         Irregularity

i.          Illegal act

j.          Error

k.         Management fraud

__________1.             An intentional misstatement of financial statements.

__________2.             A set of six audit objectives the auditor must meet, including timing,                                             posting and summarization, and accuracy

__________3.             Implied or expressed representations made by the client about classes of                             transactions and related accounts in the financial statements

__________4.             Audit procedures designed to test for monetary errors and irregularities in                            the ending balances of balance sheet and income statement accounts

__________5.             A set of nine audit objectives the auditor must meet, including detail tie-                             in, rights and obligations, and presentation and disclosure.

__________6.             Audit procedures designed to test the effectiveness of control policies and                                    procedures in support of a reduced assessed control risk

__________7.             Use of comparisons and relationships to determine whether account                                      balances or other data appear reasonable.

Your task is to write a program in C or C++ that calculates the total amount of money a person has made over the last year. Your program will prompt the user for dollar amounts showing how much the user has made per job. Some users will have had more than one job, make sure your program allows for this. The program will print out the total made (all jobs) and will print out the federal and state taxes based on the total made. For this program, the federal tax will be 8.5% and the state tax will be 14.5%.

1)Use appropriate comments through out the program.

2)Create a header at the top showing the programmer, date of creation and class

3)Print out the source code, and 3 sample runs.

4)Make sure you insert appropriate instructions for the user.

Notes:

1)No negatives are allowed (negative income), check for this.

2)You may use any loop type you wish - be able to defend your choice.

Deliverables:

1)The source code of your completed, working program

2)3 sample runs of your program

Question 1

1. What does it mean for two events A and B to be statistically independent?

2. What is the difference between the standard deviation for Continuous data and the standard deviation for Discrete data (you cannot state that the formula is different)?

Question 2

Digital data are transmitted as a sequence of signals that represent 0s or 1s. Suppose that such data are being transmitted to a satellite and then relayed to a distant site. Suppose that due to electrical interference in the atmosphere, there is a 1-in-1000 chance that the transmitted 0 will be reversed between the sender and the satellite (i.e. distorted to the extent that the satellites receiver interprets the 0 as a 1) and a 2-in-1000 chance that a transmitted 1 will be reversed. Suppose that 40% of the transmitted digits are 0s.

1. What is the probability that a transmitted digit is correctly received by the satellite?

2. Assuming independence, what is the probability that all the digits are received correctly
   1. if 1000 digits are transmitted

2. if 10,000 digits are transmitted.

3. Suppose that between the satellite and the receiver, the chances of reversal are twice as large as they were between the sender and the satellite. Assuming independence, what is the probability that a digit reaches the receiver as originally sent?

Question 3

Of 200 adults, 176 own one TV set, 22 own two TV sets, and 2 own three TV sets. A person is chosen at random.

1. What is the probability function of X?

2. What is the expected value for the probability distribution?

3. What are the variance and standard deviations for the probability distribution?

A long straight wire runs along the y axis and carries a current of 1.80 A in the +y direction. Determine the magnitude and direction of the magnetic field along the line. x = 21.0 cm.

Magnitude ?? T

Direction ??? ( +.- )(I,J,K) ??

Two long current-carrying wires run parallel to each other and are separated by a distance of 2.00 cm. If the current in one wire is 1.45 A and the current in the other wire is 3.35 A running in the opposite direction, determine the magnitude and direction of the force per unit length the wires exert on each other.

Magnitude ??? N/m

Direction ??? ( Towards or Away from each other)

Program Compiles Cleanly  syntax errors25 pts-5 per errorProgram runs without runtime errors ( validation)run-time errors 25 pts-5 per errorProgram give correct answersLogic errors30 pts-5 per errorProgram is repeatableNot repeatable5 pts-5 ptsProgram is well modularizedBarely Modularized10 pts- 5 ptsDocumented WellDocumented Some5 pts- 3 ptsSomething Cool (but relevant) beyond strict requirementsSomething extra5 pts + 3 ptsBest possible grade : 105

In an effort to characterize the New Guinea crocodile (Crocodylus novaeguineae), measurements were taken of the dorsal cranial length (mm) (the length of the skull from the tip of the nose to the back of the cranial cap, denoted DCL) and the total length (cm) (denoted TL) of 50 harvested adult males. (Data on next page.)

1. Construct a histogram and a boxplot for each of the variables DCL and TL. Comment on the symmetry of the distribution of each variable.

2. Construct a scatterplot with DCL on the vertical axis and TL on the horizontal axis. Based on this plot, what can be said about the relationship between DCL and TL (i.e. if you vary DCL, what happens to TL)?

Data

TL           DCL           Observation

130           169           1

102           154           2

126           160           3

230           290           4

115           151           5

150           209           6

259           344           7

130           183           8

110           153           9

130           183           10

185           237           11

215           288           12

129           187           13

149           189           14

156           203           15

100           143           16

224           294           17

234           318           18

162           229           19

217           299           20

206           283           21

144           198           22

146           203           23

166           229           24

203           275           25

205           266           26

252           350           27

238           318           28

250           330           29

255           351           30

120           169           31

250           332           32

238           307           33

157           205           34

159           216           35

202           261           36

177           237           37

221           288           38

224           294           39

167           232           40

240           316           41

207           268           42

192           242           43

180           248           44

165           226           45

197           267           46

113           162           47

131           183           48

162           234           49

246           310           50

Write a C++ program to print all the perfect numbers below a certain given number.

A perfect number is a number that that is equal too the sum of it's divisors other than itself . For example, 6 and 28 are all perfect numbers.

6 = ( 1+2 +3)

28 = (1+2+4+7+14)

Make sure your program conforms to the following requirements:

1. Accept the upper limit from the user (as an integer).

2. Make sure the number is positive (at least 1).

3. Go from 1 to to the upper limit and print all numbers that are perfect.

Sample Runs:

NOTE: not all possible runs are shown below.

Sample Run 1

Welcome to the locate perfect numbers program...
What is the upper value?30
The following are perfect numbers...
6
28

Process finished with exit code 0

Sample Run 2

Welcome to the locate perfect numbers program...
What is the upper value?-8
What is the upper value? (must be an integer > 0)0
What is the upper value? (must be an integer > 0)500
The following are perfect numbers...
6
28
496

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population.

Temperature ​50-59 ​ 60-69 ​ 70-79 ​ 80-89 ​90-99 ​ 100-109

Days 1 305 1469 1523 571 6

a.) Approximate the mean and standard deviation for temperature.

Mean =

Standard Deviation =

b.) Use the frequency histogram of the data to verify that the distribution is bell shaped.

- Yes, the frequency histogram of the data is bell shaped.

- No, the frequency histogram of the data is not bell shaped.

c.) According to the empirical rule, 95% of days in the month will be between what two temperatures?

____ and _____ (Round to one decimal place as needed. Use ascending order)