OPTIONS: Between treatments: SS(289,550.00; 10,000.00; 8,000.00; 12,000.00) df(1
ID: 3225001 • Letter: O
Question
OPTIONS:
Between treatments: SS(289,550.00; 10,000.00; 8,000.00; 12,000.00) df(117, 59, 2, 3) MS(4,000.00; 5,000.00; 6,000.00)
Within treatments: SS(480,577.50; 469,050.00; 310,050.00; 389,550.00) df(3, 117, 59, 2) MS(2,650.00; 310.050.00; 389,550.00)
In ANOVA, the F test statistic is the (differnce, sum, product, ratio)
The value of the F test statistic is: (1.51, 0.19, 0.23, 0.66)
When the null hypothesis is true, the F test statistic is (large, close to 0, close to 1)
When the null hypothesis is false, the F test statistic is most likely (close to 1, large, close to 0)
In general, you should reject the null hypothesis for (large values of the F test statistic, values of the F test statistic close to 0, values of the F test statistic close to 1)
MindTep Cengage Learning Mocile Fireft 2nbld 518699 BanbNodeld 1851040985deploymentld 5481531099633990 37304342238kelsBN 81305647305 l&parentld; -engage com MIND TAP Homework 13: Chapter 12 4. ANOVA calculations and rejection of the null hypothesis Aa The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high School preparation class, and no preparation class. Use the information from the table to answer the remaining questions. Number of Sum of Treatment Observations Sample Mean squares (SS) Private prep class 40 610 97,500.00 600 High school prep class 40 101,400.00 No prep class 40 590 111,150.00 Using the data provided, complete the partial ANOVA summary table that follows. (Hint: T, the treatment total, can be calculated as the sample mean times the number of observations. Gr he grand total, can be calculated from the values or Tance you have calculated them.) Source Sum of Squares (SS) Mean Square (MS) Between treatments Within treatments nd Tap Cengage Leaming Moalla Firefox g Cengage .com indexhtml?nbid 518699&nbNodeld; 1851040988 deploymentl 5481531099633990373043422 38 eISBN 9781305647305 18parentld 185104184 MIND TAP Homework 13: Chapter 1 In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total Which of the following reasons best explains why the within treatments variance is sometimes referred to as the emor variance"? O The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment; therefore, the differences are sometimes referred to as error O The within treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples assigned to each of the treatments. These differences represent all of the variations that could occur in a study: therefore, they are sometimes referred to as "error. O Differences among members of the sample who received the same treatment accur when the researcher makes an error, and thus these differences are sometimes referred to as "error." O Differences among members of the sample who received the same treatment occur because some treatments are more effective than others, it would be an error to receive the less superior treatments. In ANOVA, the F test statistic is the of the between-treatments variance and the within treatments variance. The value of the F test statistic When the null hypothesis is true, the F test statistic is When the null hypothesis is false, the F test statistic is most likely In general, you should reject the null hypothesis forExplanation / Answer
Asnwers:
between treatments 8000 df=2 MS=4000
within treatments 310050 df =117 MS=2650
In ANOVA, the F test statistic is the ratio
F=MS between/MS within
The value of the F test statistic is F=1.51
when the null hypothesis is true F statistic close to 1
When the null hypothesis is false, F test statistic is most likely large
In general, you should reject the null hypothesis for (large values of the F test statistic,
SS df MS F p Between: 8,000.00 2 4,000.00 1.509 0.225 Within: 310,049.64 117 2,650.00 Total: 318,049.64 119Related Questions
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