Question

CENGAGE I MINDTAP Complete: Chapter 12 Problem Set 6. ANOVA calculations and rejection of the null hypothesis Click here to learn ollowing table summarizes the results of a study on SAT prep courses, com private preparation class, table to answer the remaining questions aring SAT scores of students in a a high school preparation class, and no preparation class. Use the information from the Sum of Squares (ss) 132,750.00 147,500.00 162,250.00 60 645 No prep class 625 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. G, the grand total, can be calculated from the values of T once you have calculated them.) df Mean Square (MS) Between treatments Within treatments 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 sum of squares is sometimes referred to as the "error sum of squares"? avascriptonClickProblemSetitem(/at/serviet/quiz?quiz action takeQuiz&quiz probGuid-ONAPCOA801010000004951c060090000&ctx clwa Complete: Chapter 12 Problen Set 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. G, the grand total, can be calculated from the have (Ss) df Between treatments 22,500.00 31,500.00 21,000.00 367,500.00 treatments In some ANOVA summary tables you will see, the labels in the first (source) column are T Which of the following reasons best explains why the within-treatments sum of the 'error sum of squares"? are Treatment, Error, and Total. squares is sometimes referred to as O Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error. O The within- sum of squares measures treatment effects as well as random, u all of within each of the samples assigned to each of the treatments. These d 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 occur because some treatments are more effective than others, so it would be an error to receive the less superior treatments The within-treatments sum of squares 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 error." within each sample received the same treatment; therefore, the differences are sometimes referred to as O een-treatments variance and the within of the In ANOVA, the F test statistic is the H&C Complete: Chapter 12 Problem Set 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 sum of squares is sometimes referred to as the "error sum of squares? O Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error. O The within-treatments sum of squares measures treatment effects as well as random, unsystematic within each of the samples assigned to each of the treatments. These d 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 occur because some treatments are more effective than others, so it would be an error to receive the less superior treatments. O The within-treatments sum of squares 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." In ANOVA, the F test statistic is theof the between-treatments variance and the within-treatments variance. The value of the F test sta ratio product difference sum . When the null hypothesis is false, the F test is When the null hypothesis is true, t statistic is most likely . In general, you should reject the null hypothesis for 12 These di sum of squares measures random error." is 4.20 0.26 In within each of the samples assigned to each of the tr s. These differences represent all of referred to as "error. error. of the In general, you close to (0 all of These d di the referred to as error." among n e effective than others, so it would be an error to receive the less superior treatments. are mor c differences within each of the samples O The within-treatments sum of squares measures random, un 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." In ANOVA, the F test statistic is the variance. The value of the F test statistic is of the When the null hypothesis is true, the F test statistic is close to close to 0 When the null hypothesis is false, the F test statistic is most likely In general, you should reject the null hypothesis for large 03 3.341 Grade It Now Continue without saving ne sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error." 0 The within-treatments sum of squares measures treatment effects as well as random differences within each of the samples assigned to eadh 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 whe received the same treatment occur because some treatments are more effective than others, so it would be an error to receive the less superior treatments. O The within-treatments sum of squares measures random, unsystemati c 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 sometim "error." es referred to as In ANOVA, the F test statistic is the variance. The value of the F test statistic is of the between-treatments variance and the within-treatments When the null hypothesis is true, the F test statistic is statistic is most likely When the null hypothesis is false, the F test . In general, you should reject the null hypothesis for values of the F test close to 1 large values of the F test statistic values of the F test statistic close to 0 Nb

Answer 1

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Answer 2

what is the sum of squares between treatments ?