There was carried out an investigation to study the toxic effects of mercury. Te

Question

There was carried out an investigation to study the toxic effects of mercury. Ten different concentrations of mercury (0, 1, 5, 10, 50, 100, 200, 300, 400, and 500 mg/L) were compared with respect to their effects on average dry weight (per 100 seven-day-old seedlings). The basic experiment was replicated four times for a total of 40 dryweight observations (four for each treatment level). The article reported an ANOVA F statistic value of 1.865.

Using a significance level of .05, test the null hypothesis that the true mean dry weight is the same for all 10 concentration levels.
---Select--- 0 0.001 0.01 0.05 0.1 < P <  ---Select--- 0.001 0.01 0.05 0.1 1

The conclusion is the following.

reject H0fail to reject H0    

Explanation / Answer

Given a = 10; N = 40

Given that F-Statistic = 1.865

At alpha = 0.05 level with (9,30) degrees of freedom, the value of 'P' is given by

P = 0.0970>0.05 (0 0.001 0.01 0.05 < P)

Hence we fail to reject Ho.

Therefore the true mean dry weight is the same for all 10 concentration levels at alpha = 0.05 level

The conclusion is fail to reject H0

0.001 0.01 0.05 < P

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