Question

In: Statistics and Probability

The dataset ‘diamondpricesbyrater’ (available in Canvas) contains information on the prices of samples of diamonds rated...

The dataset ‘diamondpricesbyrater’ (available in Canvas) contains information on the prices of samples of

diamonds rated by agencies IGI and by HRD. Use R to conduct a hypothesis test to determine if there is a

difference in the mean price of diamonds rated by the two agencies. State your hypotheses and conclusions.

diamondpricesbyrater.txt

IGI HRD

823 3778

765 3432

803 3851

803 3346

705 3130

725 3995

967 3701

1050 3529

967 3667

863 3202

800 3256

842 3415

800 3792

758 3925

880 3421

880 3925

705 3616

638 3615

919 3785

1149 3643

1057 4300

919 6867

1198 6285

1248 5800

1147 5510

995 4346

1108 6372

1485 5193

1283 5662

1149 5333

1082 6041

1539 5815

1365 8611

1260 6905

1121 6905

1595 6416

1233 6051

1199 8715

1471 6988

1238 6988

1580 6495

1459 7358

1459 6572

1218 7072

1299 8359

1628 6805

1628 7711

1337 5835

1462 13775

1503 14051

1773 11419

1636 10588

1821 11696

1540 10588

2276 10450

1616 9896

1506 9203

2651 9480

2383 9065

3652 8788

3722 8788

3722 8372

3095 8095

3706 7818

4070 13909

3470 11531

4831 10692

4209 11811

3821 10272

5607 9993

5326 9293

6160 9433

6095 9153

5937 8873

9342 8175

9713 10796

8873 9890

8175 8959

Solutions

Expert Solution

Let us denote the difference

d = price of diamonds rated by IGI - price of diamonds rated by HRD

There is sufficient evidence to conclude that there is a significant difference in the mean price of diamonds rated by the two agencies.

R command :


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