An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The data in the table below resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and standard deviations are in close agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is not the same for all four box types? Test the relevant hypothesis using a significance level of 0.01 if x = 685.0042. Type of Box 1 2 3 4 665.5 799.2 Compression Strength (lb) 798.3 724.3 782.5 796.9 727.1 649.0 686.3 731.4 689.1 689.4 696.1 742.1 764.8 661.7 727.2 717.1 Calculate the test statistic. (Round your answer to two decimal places.) F = Sample Mean Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 716.3333 Sample SD 694.7333 47.0321 763.6000 39.3787 545.1 638.7 532.4 569.0 576.9 530.0 565.3500 40.6751 34.2223
An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The data in the table below resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and standard deviations are in close agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is not the same for all four box types? Test the relevant hypothesis using a significance level of 0.01 if x = 685.0042. Type of Box 1 2 3 4 665.5 799.2 Compression Strength (lb) 798.3 724.3 782.5 796.9 727.1 649.0 686.3 731.4 689.1 689.4 696.1 742.1 764.8 661.7 727.2 717.1 Calculate the test statistic. (Round your answer to two decimal places.) F = Sample Mean Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 716.3333 Sample SD 694.7333 47.0321 763.6000 39.3787 545.1 638.7 532.4 569.0 576.9 530.0 565.3500 40.6751 34.2223
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The
data in the table below resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and standard deviations are in
close agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is not
the same for all four box types? Test the relevant hypothesis using a significance level of 0.01 if x = 685.0042.
Type of Box
1
2
3
4
665.5
799.2
Compression Strength (lb)
798.3 724.3
782.5 796.9
727.1 649.0
686.3
545.1 638.7 532.4
731.4 689.1 689.4
696.1 742.1
661.7 727.2
764.8
Calculate the test statistic. (Round your answer to two decimal places.)
F =
Sample
Mean
716.3333
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
763.6000
569.0 576.9 530.0 565.3500
Sample
SD
47.0321
717.1 694.7333 34.2223
39.3787
40.6751](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c1a7cdd-e96b-43f1-9c5c-bed1a4b6a5fd%2F8e65d398-3cd1-4ca8-822f-5d218957d01f%2Fq5p88dh_processed.png&w=3840&q=75)
Transcribed Image Text:An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The
data in the table below resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and standard deviations are in
close agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is not
the same for all four box types? Test the relevant hypothesis using a significance level of 0.01 if x = 685.0042.
Type of Box
1
2
3
4
665.5
799.2
Compression Strength (lb)
798.3 724.3
782.5 796.9
727.1 649.0
686.3
545.1 638.7 532.4
731.4 689.1 689.4
696.1 742.1
661.7 727.2
764.8
Calculate the test statistic. (Round your answer to two decimal places.)
F =
Sample
Mean
716.3333
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
763.6000
569.0 576.9 530.0 565.3500
Sample
SD
47.0321
717.1 694.7333 34.2223
39.3787
40.6751
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