&11.1.2 Consider the data in the table collected from three independent populati

Question

&11.1.2 Consider the data in the table collected from three independent populations Sample 3 a) Calculate the total sum of squares (SST) and partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW). b) Use these values to construct a one-way ANOVA table c) Using a-0.05, what conclusions can be made concerning the population means? 16 Click the icon to view a table of critical F-scores for #0.05. a) Determine the values. 148.9 (Type an integer or a decimal.) SST SSB18.9 (Type an integer or a decimal.) SSW130 (Type an integer or a decimal.) b) Complete the one-way ANOVA table below Sum of Degrees of Mean Sum of Source Squares Freedom Squares 18.900 130.000 148.900 9450 0.509 18.571 Within Total (Type integers or decimals. Round to three decimal places as needed.) c) Let ?1-P2, and P3 be the population means of samples 1, 2, and 3, respectively. What are the correct hypotheses for a one-way ANOVA test? H: Not all the means are equal H: Not all the means are equal What is the critical F-score, F?? Fa 4.737 (Round to three decimal places as needed.) What is the correct conclusion about the population means? Since the F-statistic does not fall in the rejection region, do not reject Ho The data do not provide sufficient evidence to conclude that the population means are not all the same.

Explanation / Answer

Ans:

Critical F value=FINV(0.05,2,7)=4.737

As,F statistic is less than 4.737,we do not reject H0.

Sample 1 Sample 2 Sample 3 8 3 1 7 5 7 6 4 4 16 mean= 7 4 7 std. dev= 1 1 6.4807

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