Statistics

Calculation of discharge using T score with different confidence interval

It is your responsibility to monitor 10 facilities for compliance with a regulation that permits the facilities an average concentration on an annual basis of 500 ppb (parts per billion) of ByOH (baloneyum hydroxide) in their discharge.

▫ To assess compliance, you randomly sample the discharge of the facilities once per month.

▫ If, at the end of the year, you have 80% confidence that a violation has occurred, then the offending facility is subject to greater scrutiny and must pay a $10,000 fee to offset the cost of the greater scrutiny.

▫ If, at the end of the year, you have 95% confidence that a violation has occurred, then the offending facility is also subject to a fine of $1,000,000.

Please analyze and prepare a memo to your supervisor that includes your analysis

and findings.

Concentration of ByOH in sample [ppb]

Facility A B C D E F G H I J

Jan‐10 578 355 752 647 507 400 502 514 569 650

Feb‐10 566 498 302 483 520 535 468 629 430 625

Mar‐10 553 480 695 537 557 561 261 573 431 412

Apr‐10 563 296 387 573 512 397 839 441 351 541

May‐10 556 515 128 434 524 490 423 555 331 453

Jun‐10 544 452 477 587 578 550 649 612 696 322

Jul‐10 548 253 448 340 526 604 773 503 802 258

Aug‐10 567 592 514 472 538 651 634 482 741 403

Sep‐10 567 684 342 543 535 537 704 385 259 659

Oct‐10 577 495 760 537 512 473 740 510 624 503

Nov‐10 562 876 400 463 538 402 402 463 530 314

Dec‐10 560 358 374 352 522 620 731 698 395 719

Sheet1

573

578

514

567

535 537

537 512

503

400

538

402 463

	578	355	752	647	507		400	502		514	569	650
566	498	302	483	520		535	468	629	430	625
553	480	695			537	557	561	261		573	431	412
563	296	387		512	397	839	441	351	541
556	515	128	434	524	490	423	555	331	453
544	452	477	587	550	649	612	696	322
548	253	448	340	526	604	773		503	802	258
	567	592	472		538	651	634	482	741	403
684	342	543	704	385	259	659
577	495	760	473	740	510	624
562	876		463		402	530	314
560	358	374	352	522	620	731	698	395	719