1. A sales person tests five random specimens of composite materials from five randomly selected batches, and the strengths are recorded below or in the data file, Strength. Batch 379 357 390 376 376 1 2 363 367 382 381 359 3 401 402 407 402 396 4 5 402 387 392 395 394 415 405 396 390 395 (a) Complete the ANOVA table with EMS for each term. Source df Mean squares (MS) Mean squares (MS) Expected MS (EMS) F Batch Error Total (b) Using the result in (a), conduct a proper test for Batch. Report the null and alternative hypothesis, p-value, decision and conclusion. (c) Draw a side-by-side box plot to confirm your conclusion in (b). Report your findings. (d) Using the result in (a), what is the point estimate of the variance for Batch?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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1. A sales person tests five random specimens of composite materials from five randomly selected
batches, and the strengths are recorded below or in the data file, Strength.
Batch
379 357 390 376 376
1
2
363 367
382 381 359
3
401 402
407 402 396
4
5
402 387
392 395 394
415
405 396 390 395
(a) Complete the ANOVA table with EMS for each term.
Source df Mean squares (MS)
Mean squares (MS) Expected MS (EMS) F
Batch
Error
Total
(b) Using the result in (a), conduct a proper test for Batch. Report the null and alternative
hypothesis, p-value, decision and conclusion.
(c) Draw a side-by-side box plot to confirm your conclusion in (b). Report your findings.
(d) Using the result in (a), what is the point estimate of the variance for Batch?
Transcribed Image Text:1. A sales person tests five random specimens of composite materials from five randomly selected batches, and the strengths are recorded below or in the data file, Strength. Batch 379 357 390 376 376 1 2 363 367 382 381 359 3 401 402 407 402 396 4 5 402 387 392 395 394 415 405 396 390 395 (a) Complete the ANOVA table with EMS for each term. Source df Mean squares (MS) Mean squares (MS) Expected MS (EMS) F Batch Error Total (b) Using the result in (a), conduct a proper test for Batch. Report the null and alternative hypothesis, p-value, decision and conclusion. (c) Draw a side-by-side box plot to confirm your conclusion in (b). Report your findings. (d) Using the result in (a), what is the point estimate of the variance for Batch?
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