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10 There are four radio stations in Midland. The stations have different formats (hard rock, classical, country and western, and easy listening), but each is
10 There are four radio stations in Midland. The stations have different formats (hard rock, classical, country and western, and easy listening), but each is concerned with the number of minutes of music played per hour. From a sample of 10 hours from each station, the following sample means were offered: X1 = 51.46 X2 = 44.68 X3 = 48.23 X4 = 50.67 SS total = 556.000 oints a. Determine SST. (Round the final answer to 3 decimal places.) SST = eBook b. Determine SSE. (Round the final answer to 3 decimal places.) SSE = References c. Complete an ANOVA table. (Round the SS, MS, and F-values to 3 decimal places.) ANOVA Source of SS DF MS Variation Treat Error 361 Total 5561 The following hypotheses are given. Ho: M1 = H2 = H3 = H4 Hy: The means are not all equal. d. State the decision rule for 0.05 significance level. (Round the final answer to 2 decimal places.) Reject Ho if F> At the 0.05 significance level, is there a difference in the treatment means? There ( is a difference in the treatment means.d. State the decision rule for 0.05 significance level. (Round the final answer to 2 decimal places.) Reject Ho if F> At the 0.05 significance level, is there a difference in the treatment means? There ( is a difference in the treatment means. e. Develop a 95% confidence interval for the difference in the mean amount of music time between station 1 and station 4. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) The 95% confidence interval is between and Is there a difference in the mean amount of music time between station 1 and station 4? Use the 0.05 significance level. There is no difference. *A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. Clothes Food Toys 58 53 53 42 21 50 44 65 59 62 63 55 64 46 32 36 62 29 55 67 69 30 48 35 68 42 21 31 29 40 52 49 a. Complete the ANOVA table. Use 0.02 significance level. (Round the SS and MS values to 1 decimal place and Evalue to 2 decimal places. Round the DF values to nearest whole number. Round p-value to 3 decimal places.) Source SS DF MS F p-Value Factor Error Total b. Find the values of mean and standard deviation. (Round the mean and standard deviation values to 3 decimal places.) Level N Mean StDev Clothes Food Toys
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