Consider the data in the table collected from four independent populations Sampl
ID: 3365005 • Letter: C
Question
Consider the data in the table collected from four independent populations Sample 16 17 Sample 4 Sample Sample 10 13 21 19 a) Calculate the total sum of squares (SST). b) Partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW). c) Using = 0.10, what conclusions can be made concerning the population means? 4 Click the icon to view a table of critical F-scores for = 0.10 a) Determine the value of SST SST(Type an integer or a decimal.) b) Determine the values of SSB and SSW SSB(Type an integer or a decimal.) SSW(Type an integer or a decimal.) c) Let 1 , 2, 3, and 4 be the population means of samples 1, 2, 3, and 4, respectively. What are the correct hypotheses for a one-way ANOVA test? D. Ho : 1 = 2 = 3 = 4 H1: Not all the means 0 C. Ho: Not all the means are equal are equal What is the critical F-score, F?Explanation / Answer
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
ANOVA table
Hence,
a) SST = 512
b) SSB = 352.5
SSW = 159.5
c) Hypotheses: Option D is correct.
Critical score = 2.728
Test statistic = 7.367
Greater; Reject; are not
Column n Mean Std. Dev. Std. Error Sample 1 4 6.75 2.7537853 1.3768926 Sample 2 3 14 4.3588989 2.5166115 Sample 3 4 18.75 4.0311289 2.0155644 Sample 4 3 8 5 2.8867513