4If you obtained all possible samples and computed the mean from each sample, the mean of sample means is _________. a457.86 b440.25 c423.32 d407.04 Students in the population of all students taking E270 were asked to state how much they spenton textbooks in the current semester.Jse the following textbook expense data (in dollars) to answer the following 5 questions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random sample selected from the above population yielded the following data:430440545605310345395440

Given: The population of students stating their expense on a textbook. N=234.

Answered: If you obtained all possible samples…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 8CR

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Related questions

Question

4	If you obtained all possible samples and computed the mean from each sample, the mean of sample means is _________.

a	457.86
b	440.25
c	423.32
d	407.04

Students in the population of all students taking E270 were asked to state how much they spent
on textbooks in the current semester.
Jse the following textbook expense data (in dollars) to answer the following 5 questions.
475
550
540
350
330
510
335
530
370
455
525
545
515
435
335
485
540
645
435
405
340
470
455
345
650
375
520
275
465
330
555
460
455
380
520
620
580
335
565
420
510
465
540
545
350
410
440
530
505
455
655
520
360
405
325
525
545
350
450
435
265
385
540
465
460
560
495
530
385
685
470
375
545
555
520
490
440
495
570
370
340
435
360
590
550
430
425
390
490
430
665
610
655
410
560
390
365
595
550
385
440
395
395
505
545
430
575
530
415
265
420
470
350
525
325
620
325
525
505
335
490
560
240
425
460
435
280
510
485
510
665
335
430
375
555
445
460
490
360
420
470
425
410
680
295
415
230
475
430
395
370
380
375
490
410
330
610
430
305
590
605
315
485
400
480
375
500
445
310
455
355
575
310
370
265
415
345
575
395
385
650
540
435
380
380
495
460
370
400
550
575
385
555
535
650
530
445
340
410
545
470
365
360
375
375
620
395
490
445
465
600
585
310
430
620
420
405
435
365
555
510
530
445
435
610
385
540
415
535
515
440
530
570
295
Arandom sample selected from the above population yielded the following data:
430
440
545
605
310
345
395
440

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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