Compute a one-factor ANOVA using the following set of raw scores. XI X2 X3 0. 7 1 4 11 7 6. 3 8. 9. 1 10 13 12
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A: Mean=x¯=∑i=1nxin=16510=16.5 Sample sd=s=∑i=1n xi-x¯2n-1=26.510-1=1.7159
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- Find the missing values in the following ANOVA TABLE for a study that consist of 5 treatments with 106 total participants SS between= 220 F= 2 dfbetween=? MSbetween? SSWithin=? dfwithin=? MSwithin=? SStotal dftotalConsider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 For this question, compute the between groups Mean Square (MSbetween)A researcher computes the following one-way within-subjects ANOVA table. Fill in the blanks for the appropriate cells in the table below. Source of Variation SS df MS FObt Between groups 10 Between persons 60 9 Within groups (error) 9 6 Total 124 19
- In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were from the New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test the claim that fewer than one quarter of the soldiers were Royalist."At a certain college, it is estimated that about 37% of the students have cars on campus, and with this number, the parking lot is fully occupied. Would you suggest to increase the parking lot space if, in a random sample of 48 college students, 24 are found to have cars? Use 0.01 level of significance."In 2010, 36% of adults in a certain country were morbidly obese. A health practitioner suspects that the percent has changed since then. She obtains a random sample of 1042 adults and finds that 393 are morbidly obese. Is this sufficient evidence to support the practitioner's claim at the α = 0.1 level of significance?
- In a study of the number of non-removable defects for each of n = 45 screens, x-bar = 2,667 and s = 3,057 non-removable defects were obtained. a. Perform a hypothesis test with the intention of showing that the mean number of non-removable defects is less than 3.6 with a significance level of 0.025.b. Based on the conclusion of the previous paragraph, what mistake could you make?Explain in the context of the problem.A publisher reports that79%of their readers own a personal computer. A marketing executivewants to test the claim that the percentage is actually more than the reported percentage. A randomsample of 100 found that89%of the readers owned a personal computer. Is there sufficient evidence atthe 0.02 level to support the executive’s claim?A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, and 12th grade among students with less than a 2.0 GPA. She took a random sample of n=5 students from each grade level and compared absences among the four grades using ANOVA. 9th grade 10th grade 11th grade 12th grade 6 10 17 15 9 12 8 16 6 11 11 12 7 11 14 12 7 14 15 12 Which of the following is the…
- A researcher conducts a one-way ANOVA comparing four groups, each of which consists of 10 participants (N = 10). In evaluating the F-ratio for this analysis, what is the critical value for α = .05? 2.92 2.84 2.69 2.61In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights. suppose that, in a more recent poll, 399 of 1099 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat diner together seven nights a week has decreased? use the a=0.05 significance levelThe following tables presents the results of a single factor ANOVA comparing 5 treatment means with n= 10 in each condition. Complete the missing values in the table Source SS df Ms F between treatment 15 Within treatment Total 190