Let X1, X2, X3, X4 be independent random variables that have normal distributions N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken. a) State the model that can be used to determine...


Let X1, X2, X3, X4 be independent random variables that have normal distributions<br>N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken.<br>a) State the model that can be used to determine whether the means are all equal. Identi-<br>each term in the model and any necessary conditions.<br>b) Copy and complete the following ANOVA table.<br>Analysis of Variance Table<br>Source of Variation<br>DF<br>SS<br>MS<br>F<br>Pr ( >F)<br>Treatment<br>628.38<br>15.535<br>0.0011<br>Error<br>Total<br>11<br>C) Perform the ANOVA test at the 5% level of significance. Clearly state the hypotheses<br>being tested and the conclusion of your test.<br>

Extracted text: Let X1, X2, X3, X4 be independent random variables that have normal distributions N(u; ,o?), i = 1, 2, 3, 4. A total of 12 observations were taken. a) State the model that can be used to determine whether the means are all equal. Identi- each term in the model and any necessary conditions. b) Copy and complete the following ANOVA table. Analysis of Variance Table Source of Variation DF SS MS F Pr ( >F) Treatment 628.38 15.535 0.0011 Error Total 11 C) Perform the ANOVA test at the 5% level of significance. Clearly state the hypotheses being tested and the conclusion of your test.

Jun 07, 2022
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