Ages	Number of students
15-18	6
19-22	7
23-26	9
27-30	6
31-34	8
35-38	8

Find the relative frequency for the class with lower class limit 15
Relative Frequency =  %
Give your answer as a percent, rounded to two decimal places

Cindy, who will graduate from college in a year is deciding whether to go on for her master’s degree which will last two years. She figures that if she takes a job immediately, she can earn $40,000 per year in real terms for the remainder of her working years. If she goes on for two more years of graduate study, however, she can increase her earnings to $50,000 per year. The cost of tuition is $40,000 per year in real terms. Is this a worthwhile investment if the real interest rate is 5% per year?—(Assume she will retire after working for 40 years. AND SHOW YOUR WORK)—4 pts.

Rentz Corporation is investigating the optimal level of current assets for the coming year. Management expects sales to increase to approximately $4 million as a result of an asset expansion presently being undertaken. Fixed assets total $3 million, and the firm plans to maintain a 50% debt-to-assets ratio. Rentz's interest rate is currently 8% on both short-term and long-term debt (which the firm uses in its permanent structure). Three alternatives regarding the projected current assets level are under consideration: (1) a restricted policy where current assets would be only 45% of projected sales, (2) a moderate policy where current assets would be 50% of sales, and (3) a relaxed policy where current assets would be 60% of sales. Earnings before interest and taxes should be 14% of total sales, and the federal-plus-state tax rate is 40%. What is the expected return on equity under each current assets level? Round your answers to two decimal places.

Restricted policy %

Moderate policy %

Relaxed policy %

Winnipeg district sales manager of Far End Inc. a university textbook publishing company, claims that the sales representatives makes an average of 20 calls per week on professors. Several representatives say that the estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 44 and variance is 2.41.

Conduct an appropriate hypothesis test, at the 5% level of significance to determine if the mean number of calls per salesperson per week is more than 40.

(a)     Provide the hypothesis statement

(b)     Calculate the test statistic value

(c)     Determine the probability value

(d) Provide an interpretation of the P-value (1 Mark)

Go to the Files section and download the AFE_Test file from the Datasets folder. We are interested in a one­tail test described in the following fashion: Ho: u < or = to 200 CFM; H1: u > 200 CFM. At 5% significance level,

we can reject the null hypothesis given the sample information in AFE_Test1.

we can reject the null hypothesis given the sample information in AFE_Test2.

we cannot reject the null hypothesis.

we can reject the null hypothesis given the sample information in AFE_Test1 and AFE_Test2.

Engine

Number Air Flow Error

1

415.4743512

2

346.09016

3

-8.596266867

4

532.7726337

5

283.0702257

6

189.3824034

7

105.5314484

8

334.2984697

9

184.4056484

10

256.663138

11

-104.457736

12

467.3703235

13

258.2404746

14

-2.074507734

15

-40.79538064

16

6.80056894

17

90.27253748

18

338.7010153

19

331.0819963

20

649.4146936

21

313.2307526

22

503.0561507

23

403.6624912

24

223.0000044

25

214.666741

26

-201.8286026

27

181.0092996

28

405.3486368

29

78.97865964

30

105.2625563

31

-20.7479801

32

305.6369038

33

-25.34042812

34

290.649136

35

160.2956032

36

581.8788331

37

87.38225426

38

236.7845624

39

461.8920726

40

-1.765506909

41

-1.139319807

42

155.2220552

43

172.5709168

44

324.958664

45

137.8738076

46

431.9881597

47

294.0063993

48

370.8186838

49

-268.3206689

50

377.8966444

51

15.56555128

52

400.5351499

53

237.0884473

54

-114.9040103

55

-1.842450161

56

258.17274

57

306.9807505

58

199.0776624

59

-159.7275472

60

90.7100499

61

50.57186593

62

-235.5723112

63

239.8702733

64

252.8041065

65

66.01740517

66

139.3463705

67

157.9240731

68

398.7363967

69

349.8917564

70

157.576396

71

108.0615717

72

246.23303

73

284.4200068

74

416.5905053

75

39.32832863

76

188.2311195

77

218.0355792

78

198.1066631

79

399.3020115

80

158.6990307

81

404.0966402

Engine Number Air Flow Error

1

-5.910636889

2

454.3618488

3

248.8773234

4

280.4565938

5

353.3013896

6

-218.8510862

7

94.68939062

8

332.6359874

9

425.0468792

10

299.2086466

11

-5.854975813

12

304.4174591

13

539.9043275

14

408.6882527

15

-130.7805305

16

712.8235887

17

110.8343768

18

41.30960043

19

293.1632807

20

219.859895

21

147.6832367

22

522.4087418

23

-22.70800359

24

102.6290747

25

518.992134

26

49.33093443

27

324.0126134

28

486.8666893

29

522.5290679

30

264.1219098

31

37.28276716

32

106.6241894

33

45.27340572

34

362.001093

35

110.5986357

36

335.748915

37

226.6452257

38

350.815877

39

275.9994104

40

195.8830681

41

391.2196789

42

439.131587

43

274.5389211

44

210.0179118

45

302.4803718

46

307.4775905

47

-112.4925929

48

463.7959919

49

204.2295691

50

371.1563168

51

86.33736435

52

68.51681611

53

262.680861

54

268.7462811

55

444.2777809

56

468.5967597

57

388.3007466

58

276.8384193

59

184.5206371

60

94.26292855

61

453.4004675

62

175.5802814

63

22.65986588

64

249.5145609

65

155.0875923

66

243.9447699

67

528.9350029

68

512.2006642

69

94.9378191

70

604.680723

71

240.4991037

72

399.2537004

73

194.1203309

74

197.734822

75

268.7425977

76

356.5817097

77

515.0917659

78

394.3821284

79

399.1902631

80

338.4149168

81

192.9782557

1. We measure the self-esteem scores for a sample of freshman. The population of college students has a mean self-esteem score of µ = 55 and σ = 135. The data for our freshman are as follows:         44           55                39           17           27           38           36           24           36
   1. Summarize the sample data (that is, find the mean and standard deviation).

2. If we ask whether our sample of freshmen is different from the typical college student, is that a one-tail test or a two-tail test? Two tail test

3. Do the 4 step hypothesis testing procedure and summarize your conclusion in an APA-styled summary. Use α = .05. Remember, there are additional steps that need to be done if the finding is significant.

1. d. What happens if we change α to α = .01? What is our decision then?

The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights ( in pounds) are Person 1 2 3 4 Weight before diet 180 125 240 150 Weight after diet 170 130 215 152 For the population of all adults, assume that the weights loss after six weeks on the diet ( weight before beginning the diet---weight after six weeks on the diet) is Normally distributed with mean μ. a. Test the hypothesis if the diet leads to weight loss. b. Construct a 95% confidence interval for the mean difference.

You have two job offers with the following 6-year compensation terms: the first one offers you $80,000 a year for 6 years; the other one offers you a signing bonus of $15,000 plus $50,000 a year for the first 4 years and then 60,000 a year for the last two years. Assume that the appropriate discount rate is 12% and there are no taxes.
a. How much would you lose in present value if you accepted the second offer?
b. By what dollar amount should the second company increase your payment every year, the signing bonus and the following six payments, to make you indifferent between the two offers financially?

The Mountain States Office of State Farm Insurance Company reports that approximately 72% of all automobile damage liability claims were made by people under 25 years of age. A random sample of seven automobile insurance liability claims is under study. (a) Make a histogram showing the probability that r = 0 to 7 claims are made by people under 25 years of age. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot Correct: Your answer is correct. (b) Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.) μ = claims σ = claims For samples of size 7, what is the expected number of claims made by people under 25 years of age? (Round your answer to the nearest whole number.) claims

In one manufacturing factory, 40 of 600 products were scrapped in one of the manufacturing methods due to various defects, and 30 of 500 products were scrapped in the other. Test whether there is a difference between the two methods in terms of the scrapped product ratio, 99% confidence level.