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 .01 if x = 680.42. Type of Box Compression Strength (lb) Sample Sample Mean SD 689.4 645.5 734.3 778.3 689.1 711.4 708.00 45.29 774.8 686.1 779.2 762.5 742.1 786.9 755.27 37.32 681.7 727.1 717.1 639.0 | 706.3 727.2 699.73 34.24 1 2 3 4 510.0 549.0 618.7 525.1 596.9 552.4 558.68 41.70 (Give the answer to one decimal place.) F = ---Select--- > < P < ---Select--- ◇ (Use Table 6 in Appendix A.) The conclusion is the following. O reject Ho fail to reject Ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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15.1.5

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 .01 if x = 680.42.
Type of Box Compression Strength (lb)
Sample Sample
Mean SD
689.4 645.5 734.3 778.3 689.1 711.4 708.00 45.29
774.8 686.1 779.2 762.5 742.1 786.9 755.27 37.32
681.7 727.1 717.1 639.0 | 706.3 727.2 699.73 34.24
1
2
3
4
510.0 549.0 618.7 525.1 596.9 552.4 558.68 41.70
(Give the answer to one decimal place.)
F =
---Select--- > < P < ---Select--- ◇ (Use Table 6 in Appendix A.)
The conclusion is the following.
O reject Ho
fail to reject Ho
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 .01 if x = 680.42. Type of Box Compression Strength (lb) Sample Sample Mean SD 689.4 645.5 734.3 778.3 689.1 711.4 708.00 45.29 774.8 686.1 779.2 762.5 742.1 786.9 755.27 37.32 681.7 727.1 717.1 639.0 | 706.3 727.2 699.73 34.24 1 2 3 4 510.0 549.0 618.7 525.1 596.9 552.4 558.68 41.70 (Give the answer to one decimal place.) F = ---Select--- > < P < ---Select--- ◇ (Use Table 6 in Appendix A.) The conclusion is the following. O reject Ho fail to reject Ho
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