The following data are from a completely randomized design. Treatment Treatment Treatment A B 32 44 33 30 43 36 30 26 44 35 36 46 32 48 40 Sample mean Sample variance 30 45 36 6.00 4.00 6.50
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A: Source SS DF MS F Treatment 72 3 24 6 Error 48 12 4 Total 120 15
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(e) Analyze and state your conclusion by using F-test?
(f) Use Fisher’s Least Significant Difference (LSD) method to conclude how these three types of
treatment differ from each other if at all?
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- What is meant by the sample space of an experiment?When calculating an independent-samples t test, the pooled variance is:Which of the following items represent the most common source of bias in Randomized controlled trials? A) Bias arising from the randomization process B) Bias due to deviation from intended interventions C) Bias due to missing outcome data D) Bias in measurement reporting E) Bias in selective reporting
- A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance. Analysis of Variance Source SS df MS F p Factor 31.00 3 10.33 5.44 0.008 Error 32.34 17 1.90 Total 63.34 20 a. What are the null and alternate hypotheses? H0: H1: b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results: Old Curriculum New Curriculum Mean 75.31914894 65.65957447 Variance 118.613321 801.1424607 Observations 47 47 Pooled Variance 459.8778908 Hypothesized Mean Difference 0 df 92 t Stat 2.1835887807 P(T<=)one tail 0.015768226 t Critical one-tail 1.661585397 P(T<=t) two-tail 0.031536452 t Critical two-tail 1.986086317 You decide to use the conventional p=.05 as your cutoff for statistical significance. What do you conclude from this analysis? a.…