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 = 685.0042. Type of Box Compression Strength (lb) Sample Mean Sample SD 1 645.5 798.3 744.3 711.4 689.1 709.4 716.3333 51.6374 2 779.2 782.5 776.9 696.1 742.1 784.8 760.2667 35.1532 3 727.1 649.0 706.3 661.7 727.2 737.1 701.4000 37.2733 4 525.1 638.7 552.4 569.0 576.9 510.0 562.0167 45.4129 Calculate the test statistic and find the P-value. (Round your answer to two decimal places.) F = P-value =
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 = 685.0042. Type of Box Compression Strength (lb) Sample Mean Sample SD 1 645.5 798.3 744.3 711.4 689.1 709.4 716.3333 51.6374 2 779.2 782.5 776.9 696.1 742.1 784.8 760.2667 35.1532 3 727.1 649.0 706.3 661.7 727.2 737.1 701.4000 37.2733 4 525.1 638.7 552.4 569.0 576.9 510.0 562.0167 45.4129 Calculate the test statistic and find the P-value. (Round your answer to two decimal places.) F = P-value =
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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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
= 685.0042.
| Type of Box | Compression Strength (lb) | Sample Mean |
Sample SD |
|||||
|---|---|---|---|---|---|---|---|---|
| 1 | 645.5 | 798.3 | 744.3 | 711.4 | 689.1 | 709.4 | 716.3333 | 51.6374 |
| 2 | 779.2 | 782.5 | 776.9 | 696.1 | 742.1 | 784.8 | 760.2667 | 35.1532 |
| 3 | 727.1 | 649.0 | 706.3 | 661.7 | 727.2 | 737.1 | 701.4000 | 37.2733 |
| 4 | 525.1 | 638.7 | 552.4 | 569.0 | 576.9 | 510.0 | 562.0167 | 45.4129 |
Calculate the test statistic and find the P-value. (Round your answer to two decimal places.)
F =
P-value =
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