You run a gizmo factory. The following data shows the daily output of your factory for the past year. 488 462 492 480 470 495 467 476 494 474 496 500 495 499 494 481 477 481 468 470 476 479 478 471 484 492 477 488 489 488 499 491 486 477 503 484 532 515 476 493 475 484 498 476 483 506 467 444 466 464 478 454 473 465 491 460 470 483 446 471 529 493 471 468 505 467 506 501 492 477 478 486 454 492 500 471 467 477 485 472 475 493 447 508 478 446 500 496 494 485 493 477 511 487 498 512 446 489 458 461 461 486 501 484 470 477 484 464 491 470 478 480 491 462 483 476 476 483 490 457 511 517 478 499 479 467 500 484 487 473 472 481 458 471 495 451 485 491 482 470 507 498 491 433 488 501 496 446 482 477 467 462 473 466 503 461 511 524 459 487 474 468 485 497 457 448 460 493 494 463 480 475 479 506 485 460 494 480 480 463 510 490 477 470 494 483 474 466 471 475 487 502 502 482 442 468 490 511 499 487 472 458 469 463 498 470 501 486 461 499 497 493 445 477 456 451 461 485 492 472 493 515 489 487 485 509 502 484 461 486 490 462 481 484 463 480 465 508 490 480 450 503 496 491 479 485 469 449 479 458 489 466 477 479 496 481 499 475 480 486 414 454 452 492 504 482 451 450 445 485 465 487 492 449 496 480 465 482 506 494 480 480 490 501 477 520 502 472 473 466 476 469 475 493 467 464 505 455 499 490 469 470 485 492 445 473 465 489 511 462 502 483 510 481 471 433 477 497 500 474 437 467 496 470 470 469 466 483 472 457 467 473 491 472 471 461 496 452 503 463 461 475 479 451 469 468 481 485 473 457 499 464 483 471 451 466 478 499 462 476 You take repeated random samples of size n = 25 days from the above population data. 1 The expected value of the sample means is _______. a 484.472 b 479.675 c 474.926 d 470.224 2 In the previous question the variance of the sample mean is. a 9.781 b 12.226 c 61.132 d 305.658 3 Using the population mean and standard deviation in question 1, what is the probability that the mean of a random sample of n = 25 days exceeds 485 gizmos? a 0.0639 b 0.0799 c 0.0998 d 0.1248

You run a gizmo factory. The following data shows the daily output of your factory for the past year. 488 462 492 480 470 495 467 476 494 474 496 500 495 499 494 481 477 481 468 470 476 479 478 471 484 492 477 488 489 488 499 491 486 477 503 484 532 515 476 493 475 484 498 476 483 506 467 444 466 464 478 454 473 465 491 460 470 483 446 471 529 493 471 468 505 467 506 501 492 477 478 486 454 492 500 471 467 477 485 472 475 493 447 508 478 446 500 496 494 485 493 477 511 487 498 512 446 489 458 461 461 486 501 484 470 477 484 464 491 470 478 480 491 462 483 476 476 483 490 457 511 517 478 499 479 467 500 484 487 473 472 481 458 471 495 451 485 491 482 470 507 498 491 433 488 501 496 446 482 477 467 462 473 466 503 461 511 524 459 487 474 468 485 497 457 448 460 493 494 463 480 475 479 506 485 460 494 480 480 463 510 490 477 470 494 483 474 466 471 475 487 502 502 482 442 468 490 511 499 487 472 458 469 463 498 470 501 486 461 499 497 493 445 477 456 451 461 485 492 472 493 515 489 487 485 509 502 484 461 486 490 462 481 484 463 480 465 508 490 480 450 503 496 491 479 485 469 449 479 458 489 466 477 479 496 481 499 475 480 486 414 454 452 492 504 482 451 450 445 485 465 487 492 449 496 480 465 482 506 494 480 480 490 501 477 520 502 472 473 466 476 469 475 493 467 464 505 455 499 490 469 470 485 492 445 473 465 489 511 462 502 483 510 481 471 433 477 497 500 474 437 467 496 470 470 469 466 483 472 457 467 473 491 472 471 461 496 452 503 463 461 475 479 451 469 468 481 485 473 457 499 464 483 471 451 466 478 499 462 476 You take repeated random samples of size n = 25 days from the above population data. 1 The expected value of the sample means is _______. a 484.472 b 479.675 c 474.926 d 470.224 2 In the previous question the variance of the sample mean is. a 9.781 b 12.226 c 61.132 d 305.658 3 Using the population mean and standard deviation in question 1, what is the probability that the mean of a random sample of n = 25 days exceeds 485 gizmos? a 0.0639 b 0.0799 c 0.0998 d 0.1248

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You run a gizmo factory. The following data shows the daily output of your factory for the past year.

488	462	492	480	470	495	467	476	494	474
496	500	495	499	494	481	477	481	468	470
476	479	478	471	484	492	477	488	489	488
499	491	486	477	503	484	532	515	476	493
475	484	498	476	483	506	467	444	466	464
478	454	473	465	491	460	470	483	446	471
529	493	471	468	505	467	506	501	492	477
478	486	454	492	500	471	467	477	485	472
475	493	447	508	478	446	500	496	494	485
493	477	511	487	498	512	446	489	458	461
461	486	501	484	470	477	484	464	491	470
478	480	491	462	483	476	476	483	490	457
511	517	478	499	479	467	500	484	487	473
472	481	458	471	495	451	485	491	482	470
507	498	491	433	488	501	496	446	482	477
467	462	473	466	503	461	511	524	459	487
474	468	485	497	457	448	460	493	494	463
480	475	479	506	485	460	494	480	480	463
510	490	477	470	494	483	474	466	471	475
487	502	502	482	442	468	490	511	499	487
472	458	469	463	498	470	501	486	461	499
497	493	445	477	456	451	461	485	492	472
493	515	489	487	485	509	502	484	461	486
490	462	481	484	463	480	465	508	490	480
450	503	496	491	479	485	469	449	479	458
489	466	477	479	496	481	499	475	480	486
414	454	452	492	504	482	451	450	445	485
465	487	492	449	496	480	465	482	506	494
480	480	490	501	477	520	502	472	473	466
476	469	475	493	467	464	505	455	499	490
469	470	485	492	445	473	465	489	511	462
502	483	510	481	471	433	477	497	500	474
437	467	496	470	470	469	466	483	472	457
467	473	491	472	471	461	496	452	503	463
461	475	479	451	469	468	481	485	473	457
499	464	483	471	451	466	478	499	462	476

You take repeated random samples of size n = 25 days from the above population data.
1	The expected value of the sample means is _______.
a	484.472
b	479.675
c	474.926
d	470.224

2	In the previous question the variance of the sample mean is.
a	9.781
b	12.226
c	61.132
d	305.658

3	Using the population mean and standard deviation in question 1, what is the probability that the mean of a random sample of n = 25 days exceeds 485 gizmos?

a	0.0639
b	0.0799
c	0.0998
d	0.1248

4	Using the population data above, in repeated samples of size n = 25, 95% of sample means fall within that fall within ±_____ gizmos from the population mean.

a	9.06
b	7.88
c	6.85
d	5.96

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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488	462	492	480	470	495	467	476	494	474
496	500	495	499	494	481	477	481	468	470
476	479	478	471	484	492	477	488	489	488
499	491	486	477	503	484	532	515	476	493
475	484	498	476	483	506	467	444	466	464
478	454	473	465	491	460	470	483	446	471
529	493	471	468	505	467	506	501	492	477
478	486	454	492	500	471	467	477	485	472
475	493	447	508	478	446	500	496	494	485
493	477	511	487	498	512	446	489	458	461
461	486	501	484	470	477	484	464	491	470
478	480	491	462	483	476	476	483	490	457
511	517	478	499	479	467	500	484	487	473
472	481	458	471	495	451	485	491	482	470
507	498	491	433	488	501	496	446	482	477
467	462	473	466	503	461	511	524	459	487
474	468	485	497	457	448	460	493	494	463
480	475	479	506	485	460	494	480	480	463
510	490	477	470	494	483	474	466	471	475
487	502	502	482	442	468	490	511	499	487
472	458	469	463	498	470	501	486	461	499
497	493	445	477	456	451	461	485	492	472
493	515	489	487	485	509	502	484	461	486
490	462	481	484	463	480	465	508	490	480
450	503	496	491	479	485	469	449	479	458
489	466	477	479	496	481	499	475	480	486
414	454	452	492	504	482	451	450	445	485
465	487	492	449	496	480	465	482	506	494
480	480	490	501	477	520	502	472	473	466
476	469	475	493	467	464	505	455	499	490
469	470	485	492	445	473	465	489	511	462
502	483	510	481	471	433	477	497	500	474
437	467	496	470	470	469	466	483	472	457
467	473	491	472	471	461	496	452	503	463
461	475	479	451	469	468	481	485	473	457
499	464	483	471	451	466	478	499	462	476

488	462	492	480	470	495	467	476	494	474
496	500	495	499	494	481	477	481	468	470
476	479	478	471	484	492	477	488	489	488
499	491	486	477	503	484	532	515	476	493
475	484	498	476	483	506	467	444	466	464
478	454	473	465	491	460	470	483	446	471
529	493	471	468	505	467	506	501	492	477
478	486	454	492	500	471	467	477	485	472
475	493	447	508	478	446	500	496	494	485
493	477	511	487	498	512	446	489	458	461
461	486	501	484	470	477	484	464	491	470
478	480	491	462	483	476	476	483	490	457
511	517	478	499	479	467	500	484	487	473
472	481	458	471	495	451	485	491	482	470
507	498	491	433	488	501	496	446	482	477
467	462	473	466	503	461	511	524	459	487
474	468	485	497	457	448	460	493	494	463
480	475	479	506	485	460	494	480	480	463
510	490	477	470	494	483	474	466	471	475
487	502	502	482	442	468	490	511	499	487
472	458	469	463	498	470	501	486	461	499
497	493	445	477	456	451	461	485	492	472
493	515	489	487	485	509	502	484	461	486
490	462	481	484	463	480	465	508	490	480
450	503	496	491	479	485	469	449	479	458
489	466	477	479	496	481	499	475	480	486
414	454	452	492	504	482	451	450	445	485
465	487	492	449	496	480	465	482	506	494
480	480	490	501	477	520	502	472	473	466
476	469	475	493	467	464	505	455	499	490
469	470	485	492	445	473	465	489	511	462
502	483	510	481	471	433	477	497	500	474
437	467	496	470	470	469	466	483	472	457
467	473	491	472	471	461	496	452	503	463
461	475	479	451	469	468	481	485	473	457
499	464	483	471	451	466	478	499	462	476

488	462	492	480	470	495	467	476	494	474
496	500	495	499	494	481	477	481	468	470
476	479	478	471	484	492	477	488	489	488
499	491	486	477	503	484	532	515	476	493
475	484	498	476	483	506	467	444	466	464
478	454	473	465	491	460	470	483	446	471
529	493	471	468	505	467	506	501	492	477
478	486	454	492	500	471	467	477	485	472
475	493	447	508	478	446	500	496	494	485
493	477	511	487	498	512	446	489	458	461
461	486	501	484	470	477	484	464	491	470
478	480	491	462	483	476	476	483	490	457
511	517	478	499	479	467	500	484	487	473
472	481	458	471	495	451	485	491	482	470
507	498	491	433	488	501	496	446	482	477
467	462	473	466	503	461	511	524	459	487
474	468	485	497	457	448	460	493	494	463
480	475	479	506	485	460	494	480	480	463
510	490	477	470	494	483	474	466	471	475
487	502	502	482	442	468	490	511	499	487
472	458	469	463	498	470	501	486	461	499
497	493	445	477	456	451	461	485	492	472
493	515	489	487	485	509	502	484	461	486
490	462	481	484	463	480	465	508	490	480
450	503	496	491	479	485	469	449	479	458
489	466	477	479	496	481	499	475	480	486
414	454	452	492	504	482	451	450	445	485
465	487	492	449	496	480	465	482	506	494
480	480	490	501	477	520	502	472	473	466
476	469	475	493	467	464	505	455	499	490
469	470	485	492	445	473	465	489	511	462
502	483	510	481	471	433	477	497	500	474
437	467	496	470	470	469	466	483	472	457
467	473	491	472	471	461	496	452	503	463
461	475	479	451	469	468	481	485	473	457
499	464	483	471	451	466	478	499	462	476