An article described an experiment in which several different types of boxes wer

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 01 if x = 679.17. F = (Give the answer to one decimal place.)

Explanation / Answer

In ANOVA:

H0: m1 = m2 = m3 = m4

H1: At least one of the population means is different from the others

Source

SS

df

MS

Between-treatments

115809.4446

3

38603.1482

F = 22.57442

Within-treatments

34200.795

20

1710.0397

Total

150010.2396

23

The f-ratio value is 22.57442. The p-value is < .00001. The result is significant at p < .01.

So we fail to reject Ho.

Kindly Upvote if Helpful :)

Source

SS

df

MS

Between-treatments

115809.4446

3

38603.1482

F = 22.57442

Within-treatments

34200.795

20

1710.0397

Total

150010.2396

23

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