Assuming that the population is normally​ distributed, construct a 99​% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range.

Sample​ A: 1   4   4   4   5   5   5   8

Sample B: 1   2   3   4   5   6   7   8

Construct a 99​% confidence interval for the population mean for sample A.

less than or equalsmuless than or equals Type integers or decimals rounded to two decimal places as​ needed.)

Construct a 99​% confidence interval for the population mean for sample B.

less than or equalsmuless than or equals ​(Type integers or decimals rounded to two decimal places as​ needed.)

Explain why these two samples produce different confidence intervals even though they have the same mean and range.

A. The samples produce different confidence intervals because their critical values are different.

B. The samples produce different confidence intervals because their sample sizes are different.

C. The samples produce different confidence intervals because their standard deviations are different.

D. The samples produce different confidence intervals because their medians are different.

Choose 10 commands from the list to study in detail for this assignment. For each command, you need to provide a short description of the main functionality, and an example run (including output) of the command.

Notes

•  You need to choose at least one command from each category.

•  Be brief. You do not need to write a lot.

•  Although you are only required to document the usages of 10 commands in this assignment,

  you are expected to know all the commands for this course (in particular, exams).

  Process management and status 1. at

  2. bg
  3. crontab 4. fg
  5. kill
  6. nice
  7. nohup 8. ps
  9. sudo 10. suspend 11. time
  12. top

  File and directory 13. cat

  14. chgrp 15. chmod 16. chown 17. cd

  18. cp 19. dd 20. diff 21. dirs 22. file 23. find 24. grep 25. head 26. less

27. ln
28. ls
29. mkdir 30. mv 31. popd 32. pushd 33. pwd 34. size 35. tail 36. touch 37. umask 38. wc

User management and information 39. id

40. groups
41. limit (or ulimit) 42. makepasswd 43. passwd
44. su

Networking 45. arp 46. dig

47. ifconfig 48. hostname 49. nc
50. netstat 51. nslookup 52. ping
53. route
54. ssh
55. traceroute 56. wget

Programming tools 57. ddd

58. gdb 59. make 60. nm
61. strace 62. strings

Machine and system status
63. /proc/cpuinfo (this and the next are not commands, but files. You can “cat” their contents)64. /proc/meminfo
65. df
66. du
67. free
68. sysinfo
69. uptime
70. uname
71. vmstat

Other utilities 72. bc
73. cal

74. clear 75. crypt 76. cut 77. date 78. env 79. ispell 80. sort 81. tar 82. tr

83. uniq 84. xargs

Use at least 50000 simulations to answer the following questions.

In the game of craps, the shooter rolls two dice and wins if the sum of the dice is 7 or 11 ("natural"); he loses if the sum is 2,3, or 12 (craps). If the sum is 4, 5, 6, 8, 9, or 10, then the result is not yet decided. He must roll the dice again and again, as often as is necessary until the initial sum, be it 4, 5,6,8,9, or 10 is repeated (shooter wins) or until the sum is 7 (shooter loses). Find the probability that the shooter will win in a game of craps by simulation.

What is the price of a 15-year, $1000 par value bond with a 7% coupon that pays interest seminannually if we assume that its yield to maturity is 8%? What would be the price of the bond if its YTM were 9%? Compute the percentage change in price: (new price - initial price) / initial price. Repeat the exercise for a 10-year, $1000 bond with a 7% coupon paying interest semiannually using the same two yields. What do you notice about the percentage change in price for the 10-year bond versus that for the 15-year bond?

Define inherent risk. Can the auditors reduce inherent risk by performing audit procedures?

2. What are the major purposes of obtaining representation letters from audit clients?

3. Simulation

Auditors consider financial statement assertions to identify appropriate audit procedures. For items a through f,

match each assertion with the statement that most closely approximates its meaning. Each statement may be

used only once.

Assertion

Statement

a) Completeness

b) Cutoff

c)

Existence and occurrence

d) Presentation and disclosure

e) Rights and obligations

f)

Valuation

1) There is such an asset.

2) The company legally owns the assets.

3) All assets have been recorded.

4) Transactions are recorded in the correct

accounting period.

5) Assets are recorded at proper amounts.

6) Assets are properly classified.

4. Auditors perform audit procedures to obtain audit evidence that will allow them to draw reasonable

conclusions as to whether the client’s financial statements follow generally accepted accounting principles.

Match each audit procedure with its type. Each type of audit procedure is used; one is used twice.

Audit Procedures

Type of Audit Procedure

g) Prepare a flowchart of internal control

over sales.

h) Calculate the ratio of bad debt expense

to credit sales.

i)

Determine whether disbursements are

properly approved.

j)

Confirm accounts receivable.

k) Compare current financial information

with comparable prior periods.

7) Analytical procedures

8) Tests of controls

9) Risk assessment procedures (other than

analytical procedures)

10) Test of details of account balances,

transactions, or disclosures

Annotations

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figures below. The orange puck is initially moving to the right at

v_oi = 7.30 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of θ = 36.0° with the horizontal axis while the blue puck makes an angle of ϕ = 54.0° with this axis as in the second figure.

Note that for an elastic collision of two equal masses, the separation angle

θ + ϕ = 90.0°.

Determine the speed of each puck after the collision in meters per second.

V0f= m/s

Vbf= m/s

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figure below. The orange puck is initially moving to the right at voi = 6.5 m/s,strikes the initially stationary blue puck, and moves off in a direction that makes an angle of θ = 28° with the horizontal axis while the blue puck makes an angle of ϕ with this axis as in figure (b). Note that for an elastic collision of two equal masses, the separation angle θ + ϕ = 90.0°. Determine the speed of the orange puck after the collision.

Background
Hotel One is one of the two hotels serving Dayville, a small town in the US Midwest. Fifty percent of its customers are out-of-town visitors to the local college, 30 percent are visiting Dayville for business purposes, and the remaining 20 percent of Hotel One’s customers are leisure travelers. The hotel is within one mile from campus, approximately four miles from the city center, and eight miles from the airport. It is easy to reach by car, taxi, or city bus. You are a manager of Hotel One. Your facility consists of 150 rooms, all of which are standard rooms with two double beds. Your only competitor in Dayville, The Other Hotel, has fewer rooms (100), but 20 of their rooms are luxury suites with king beds and a sofa couch (the other 80 are standard rooms with two double beds). This is the extent of the information provided to you at this point.

Assignment
In order to better understand your unit’s operating environment, you are asked to provide your estimate of the demand equation that would account for various factors that affect your customer traffic. This will be done by using regression techniques. The first step in estimating a demand equation is to determine what variables will be used in the regression. Please provide detailed answers to the following questions:
1. What do you think should be the dependent variable in your demand equation? What units of measurement for that variable are you going to adopt? Please provide a detailed explanation for these choices.
2. Please request information about up to five independent (explanatory) variables for your demand equation. For each variable you request, (i) provide reasons why you expect it to be
important for your analysis and (ii) explain the expected sign of the relationship between the proposed independent variable and your proposed dependent variable.
3. Show the exact demand equation you are proposing to estimate.

A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4

a. Complete the table

b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?) Of a green (facing down) and a number >4 (facing down) on the other? Of a yellow (facing down) on the colored one and a sum of >2 of faces showing on the other?