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3. An entomologist wanted to check if mean individuals of aquatic insects at four streams are different. The entomologist randomly collected a few samples from

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3. An entomologist wanted to check if mean individuals of aquatic insects at four streams are different. The entomologist randomly collected a few samples from each stream and counted them. The following table gives the number of individuals recorded. \begin{tabular}{\cccc} \hline Sungai Ara & Sungai Bayan Lepas & Sungai Air Itam & Sungai Keluang \hline 74 & 53 & 57 & 56 W \hline 78 & 51 & 71 & 51 W \hline 51 & 47 & 81 & 49 \hline 56 & 59 & 77 & 43 Thline 65 & & 68 & \hline \end{tabular i. At the $5.0 \%$ significance level, determine if the mean individuals at each of these four streams are similar. ii. What is Type I error in this case and what is the probability of committing such an error? Explain. iii. By using LSD technique, determine the significant pairs. iv. What is the type of sampling design used by the entomologist? v. By applying factorial design, what are the changes that you would do? CS.VS. 1308

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