questions 5-9 based on the information in the paragraph and chart at top
Use the following to answer questions 5-9: A study on color brightness for different types of film involved three different brands of film: Kodak, Fuji, and Agfa. Pictures taken with each type of film were developed using the same process. The pictures were rated for color brightness (a higher score means brighter colors). Random samples of 15 of the ratings from each brand were then taken. The SPSS output from the analysis is (partially) given below: ANOVA Color Brightness Sum of Mean Squares dif Square F Sig Between Groups 95.707 47.854 5.285 .009 Within Groups Total 380.263 9.054 475.970 5, One assumption in ANOVA is that the populations have equal standard deviations. Side- by-side baxplots of the sample data are shown below. Does this assumption seem reasonable? Color brigh tress Calar Brinkness Kodak Ful Agia Brand name A) Yes, because the interquartile ranges are similar in the graph. 1) No, because there is an outlier present in the data. C) No, because medians for the three different brands are so different. D) This cannot be determined without studying the actual data values. 6. What is the value of the estimate of the common population variance? A) 9.054 95.707 B) 47 854 380.263 7. What are the degrees of freedom for the F statistic? A) 2 and 12 C) 3 and 44 B) 2 and 44 D) 3 and 45 8. Suppose we wish to assess if the color brightness of Fuji film is significantly higher than the average of the other two brands. by conducting a hypothesis test for the appropriate contrast ( Let //. Do, and /, denote the population means for Kodak, Fuji, and Agfa film. respectively. What are the values of the coefficients for the contrast (! Ala - 5, a - M, and 4, = 15 () #, = 1, a, = 1, and 4, = 4 Bja - 1, a, - 1. and a, = 14 D) o, - 12.a, - 1, and a, - " 9. The SPSS output for the contrast /7 which compares the color brightness of Fuji film to the average of the other two brands, is given below: Contrast Tests Value of Sig. Contrasts Sid. Error (2-tailed) Color Brightness 4/043 1.48535 2.782 .008 What is the P-value for texting if the color brightness of Fuji film is significantly higher than the average of the other two brands? A) P-value = 0.004 because for performing a one-sided test we have to divide the reported P-value by 2. B) P-value - 0.008 because that is the P-value reported in the output () P-value = 0.016 because for performing a one-sided test we have to multiply the reported P-value by 2. D) This cannot be determined without studying the actual data values
