The data below show sport preference and age of participant from a random sample of members of a sports club. Test if sport preference is independent of age at the 0.02 significant level.
H0: Sport preference is independent of age
Ha: Sport preference is dependent on age
| 18-25 | 26-30 | 31-40 | 41 and over | |
|---|---|---|---|---|
| Tennis | 40 | 60 | 58 | 44 |
| Swimming | 59 | 76 | 50 | 66 |
| Basketball | 73 | 61 | 67 | 53 |
a. Complete the table: Give all answers as decimals rounded to 4 places.
| Observed Frequency |
Expected Frequency |
(O−E)2E(O-E)2E |
|---|---|---|
| 40 | ||
| 60 | ||
| 58 | ||
| 44 | ||
| 59 | ||
| 76 | ||
| 50 | ||
| 66 | ||
| 73 | ||
| 61 | ||
| 67 | ||
| 53 | ||
| Total |
(b) What is the chi-square test-statistic for
this data?
Test Statistic:
χ2=χ2=
(d) The p-value is...
(e) The p-value leads to a decision to...
(f) What is the final conclusion?
In: Statistics and Probability
The data from data257.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.)
gpa iq gender concept 1 7.94 125 2 41 2 8.292 115 2 69 3 4.643 122 2 28 4 7.47 128 2 50 5 8.882 121 1 51 6 7.585 110 2 69 7 7.65 94 2 68 8 2.412 74 2 42 9 6 82 1 59 10 8.833 126 2 63 11 7.47 107 1 55 12 5.528 108 1 52 13 7.167 101 2 58 14 7.571 103 1 81 15 4.7 111 1 40 16 8.167 115 1 61 17 7.822 106 1 64 18 7.598 111 1 68 19 4 99 2 33 20 6.231 97 1 53 21 7.643 117 2 59 22 1.76 92 2 19 24 6.419 102 1 72 26 9.648 121 2 44 27 10.7 136 1 43 28 10.58 122 2 60 29 9.429 116 2 55 30 8 112 2 64 31 9.585 129 2 63 32 9.571 113 1 73 33 8.998 137 1 60 34 8.333 129 1 69 35 8.175 119 2 60 36 8 87 2 61 37 9.333 122 1 71 38 9.5 102 2 53 39 9.167 117 2 68 40 10.14 130 1 49 41 9.999 114 1 64 43 10.76 108 2 57 44 9.763 109 2 80 45 9.41 112 2 66 46 9.167 113 2 53 47 9.348 115 2 76 48 8.167 121 2 59 50 3.647 103 2 47 51 3.408 102 1 50 52 3.936 102 2 48 53 7.167 117 2 34 54 7.647 115 2 49 55 .53 90 2 15 56 6.173 112 2 51 57 7.295 100 2 52 58 7.295 119 1 74 59 8.938 113 1 64 60 7.882 107 1 57 61 8.353 120 2 58 62 5.062 79 2 34 63 8.175 113 2 56 64 8.235 93 2 48 65 7.588 91 2 42 68 7.647 122 2 44 69 5.237 107 1 54 71 7.825 121 2 91 72 7.333 108 1 66 74 9.167 117 2 67 76 7.996 110 2 49 77 8.714 110 1 62 78 7.833 106 1 65 79 4.885 106 2 62 80 7.998 126 1 83 83 3.82 101 2 53 84 5.936 100 1 52 85 9 104 1 56 86 9.5 113 1 83 87 6.057 109 2 60 88 6.057 104 1 62 89 6.938 119 2 48
(Regressor: IQ) R 2
=
(Regressor: Self-Concept) R 2
=
In: Statistics and Probability
|
McGilla Golf is evaluating a new line of golf clubs. The clubs will sell for $900 per set and have a variable cost of $400 per set. The company has spent $132,500 for a marketing study that determined the company will sell 45,500 sets per year for seven years. The marketing study also determined that the company will lose sales of 8,500 sets of its high-priced clubs. The high-priced clubs sell at $1,400 and have variable costs of $530. The company also will increase sales of its cheap clubs by 11,100 sets. The cheap clubs sell for $400 and have variable costs of $130 per set. The fixed costs each year will be $9,150,000. The company has also spent $925,000 on research and development for the new clubs. The plant and equipment required will cost $27,650,000 and will be depreciated on a straight-line basis to a zero salvage value. The new clubs also will require an increase in net working capital of $2,230,000 that will be returned at the end of the project. The tax rate is 22 percent and the cost of capital is 13 percent. |
|
Suppose you feel that the values are accurate to within only ±10 percent. What are the best-case and worst-case NPVs? (Hint: The price and variable costs for the two existing sets of clubs are known with certainty; only the sales gained or lost are uncertain.) (A negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
In: Finance
Write the following terms of Pharmacology
1. Rectal administration
2. Inhalation
3. Sublingual administration
4. Topical application
5. Oral administration
6. Parenteral
7. p.r.n or prn
8. a.c. or ac
9. ad lib
10. PO or p.o. or po
11. b.i.d or bid
12. c
13. gm or g
14. h
15. IV
16. Mg
17. q.i.d or qid
18. ml or mL
19. NPO
20. P
21. p.c. or pc
22. pt
23. h.s. or hs
24. Rx
25. S
26. SL
27. q.h. or qh
28. SQ
29. t.i.d or tid
30. IM
31. q2h
32. Analgesics
33. Anesthetics
34. Antibiotics and Antivirals
35. Anticoagulants and Antiplatelets
36. Anticonvulsants
37. Antidepressants
38. Antidiabetics
39. Antihistamines
40. Antiosteoporosis
41. Cardiovascular
42. Endocrine
43. Autacoids
44. Gastrointestinal
45. Respiratory
46. Sedative-Hypnotics
47. Stimulants
48. Neurotransmitters
49. Tranquilizers
50. Inhibitor
In: Nursing
Find the measures of center for following.
| Data | Frequency |
|---|---|
| 40 - 44 | 10 |
| 45 - 49 | 23 |
| 50 - 54 | 12 |
| 55 - 59 | 10 |
| 60 - 64 | 5 |
| 65 - 69 | 4 |
| 70 - 74 | 2 |
| 75 - 79 | 0 |
| 80 - 84 | 1 |
mode =
median =
mean = (round to 4 decimal places)
In: Statistics and Probability
Find the mean of the data in the given frequency distribution. Compare the computed mean to the actual mean of 55.6 degrees.
| Low Temperature (F degrees) | 40-44 45-49 50-54 55-59 60-64 |
| FRequency | 2 5 11 4 1 |
The mean of the frequency distribution is _____ degrees.
(round to the nearest tenth as needed.)
In: Statistics and Probability
IN C++
The price of stocks is sometimes given to the nearest eighth of a dollar; for example, 29 7/8 or 89 1/2. Write a program that computes the value of the user’s holding of one stock. The program asks for the number of shares of stock owned, the whole dollar portion of the price and the fraction portion. The fraction portion is to be input as two int values, one for the numerator and one for the denominator. The program then outputs the value of the user’s holdings. Your program should allow the user to repeat this calculation as often as the user wishes. Your program will include a function definition that has three int arguments consisting of the whole dollar portion of the price and the two integers that make up the fraction part. The function returns the price of one share of stock as a single number of type double.
TEST RUN:
Enter stock price and number of shares, please.
Enter price as integers: dollars, numerator, denominator.
30
7
8
Enter number of shares held.
200
200 shares of stock with market price 30 7/8
have value $6175.00
Do you wish to do another? y
Enter stock price and number of shares, please.
Enter price as integers: dollars, numerator, denominator.
57
3
8
Enter number of shares held.
150
150 shares of stock with market price 57 3/8
have value $8606.25
Do you wish to do another? n
In: Computer Science
A company typically sells 100,000 units at $10 per unit. It runs a promotion that discounts each unit by $3 per unit. To promote the discount, the company pays a flat fee of $50,000. The company sells 50,000 additional units in incremental sales.
What is the cost of this promotion?
Should the company proceed with this promotion and discount?
Why or why not?
In: Finance
Abby runs a printing business and leases a building for which she pays rent of $75,000 per annum.
During the year ended 30 June 2020, Abby incurred the following expenses:
Painting of the exterior of the building at a cost of $12,000. The original paintwork was peeling and mouldy and didn’t represent the kind of look Abby wanted for her business.
Re-surfacing of the dirt carpark with a new non-slip cement to fill in pot-holes and create a safer environment for her customers $8,000
Replace torn awning over the front door for $1,500. The replacement awning was made of the same material as the original awning.
Payment of $22,000 for a commercial embroidery machine so that Abby could introduce clothing design and printing into her business. The machine was purchased on 10 February 2020 and installed on 26 February 2020.
Advise Abby if the expenses would be deductible with reference to relevant statute or other supporting documents.
In: Finance
Julio Fernandez runs a small business specializing in delivering organic fruit and vegetables to the local area. He buys from local farms and packages these together in boxes and delivers them locally. Each box is sold for $12. He has the following costs: Direct wages are $9 per hour (30 minutes per box on average) Fruit and vegetables are $4 per box Other fixed costs incurred each year for this business are as follows: o Rent of Delivery Van: $4500 o Rent of Premises: $10500 o Advertising: $2000
i. Calculate the marginal cost of producing one box of vegetables. (5 points)
ii. Calculate the break-even point in boxes (unit) (5 points)
In: Economics