n Ecological Engineering, the potential for floating aquatic plants to treat dairy manure wastewater was investigated....

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n Ecological Engineering, the potential for floating aquaticplants to treat dairy manure wastewater was investigated. For onepart of the study, 16 treated wastewater samples were randomlydivided into two groups- a control algal was cultured in half thesamples and the water hyacinth was cultured in the other half. Therate of increase in the amount of total phosphorus was measured ineach water sample. The control algal had a sample mean of 0.036with a standard deviation of 0.008 while the water hyacinth had asample mean of 0.026 with a standard deviation of 0.006. Conduct atest to determine if there is a difference in mean rates ofincrease of total phosphorus for the two aquatic plants. Use alpha= 0.05.

1) What type of test should be conducted?

Independent t-test

Dependent t-test

One-tailed test

One-sample t-test

2. State the null hypothesis in equation format.

3. State the alternative hypothesis in equation format

4. What is the calculated t-value (to 3 significant digits)?

5. What is the critical t-value (to 3 significant digits)? Usealpha = 0.05.

6. Is the null hypothesis accepted or rejected? Use alpha =0.05.

7. Is there sufficient evidence to conclude that there is adifference between the mean rate of increase of total phosphorus ofthe control algal and the water hyacinth? Use alpha = 0.05. Explainin one sentence.

Answer & Explanation Solved by verified expert
3.8 Ratings (334 Votes)
1 Independent ttest2 H0 3 H1 4 The test statistic t sqrts121 s222 0036 0026sqrt000828 000628 28285 DF    See Answer
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