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School

Southern New Hampshire University *

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Course

310

Subject

Statistics

Date

Apr 3, 2024

Type

png

Pages

Uploaded by ConstableOtter15278

Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample3 ©O 6 5 1 a) Calculate the total sum of squares (SST) and partition the SST into its 3 4 3 two components, the sum of squares between (SSB) and the sum of squares 9 3 2 within (SSW). 18 b) Use these values to construct a one-way ANOVA table. c) Using a =0.10, what conclusions can be made concerning the population means? SST = 222.4 (Type an integer or a decimal.) SSB= 8.4 (Type an integer or a decimal.) SSW = 214 (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 F Between 8.4 2 4.2 137 Within 214 7 30.571 Total 2224 9 (Type integers or decimals. Round to three decimal places as needed.) c) Let pq, By, and p, be the population means of samples 1, 2, and 3, respectively. What are the correct hypotheses for a one-way ANOVA test? Ho: iy =2 =3 KR Hom #ip g Hytig #pp # 13 Hitig =Ha =13 * Ho:p1=p2=p3 : Ho:p1¢|,12¢p3 H,: Not all the means are equal. H, : Not all the means are equal. What is the critical F-score, F? Fy = 3.257 (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 rejec? Hy. The data do not provid; sufficient evidence to conclude that the nopbulation means are not all the same.

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