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 70 dryweight observations (seven for each treatment level). The article reported an ANOVA F statistic value of 1.985.

Using a significance level of .05, test the null hypothesis that the true mean dry weight is the same for all 10 concentration levels.

(.001, 0.01, 0.05, 0.1)< p < (0.001, .01, .1, 1)

pick one on each side of p value

Explanation / Answer

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: 1 = 2 = 3 =....................................................... 9 = 10

Alternative hypothesis: At-least one of the is not equal.

Formulate an analysis plan. For this analysis, the significance level is 0.05.

Analyze sample data.

D.Fnumerator = k - 1

D.Fnumerator = 9

D.Fdenominator = n - k = 70 - 10

D.Fdenominator = 60

F statistics is given by:-

F = 1.985 (Given)

Fcritical = 2.04

The P-value = 0.06

0.05 < p < 0.1

Interpret results. Since the P-value (0.06) is greater than the significance level (0.05), we have to accept the null hypothesis.

Conclusion:-

Do not Reject H0, There is not sufficient evidence for significant differences between the 10 concentration levels.

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