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Question;1) What is the critical F value for a sample of 7 observations in the numerator and 6 in the denominator? Use a two-tailed test and the 0.1 significance level. (Round your answer to 2 decimal places.) F 2) Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 29 minutes per day. The standard deviation of the sample of the 10 men studied was 8 minutes per day. The mean listening time for the 12 women studied was also 29 minutes, but the standard deviation of the sample was 15 minutes. At the.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is. Decision 3) The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level.Treatment 1 Treatment 2 Treatment 37 4 4 4 5 7 6 5 6 6 4 5 ________________________________________(a) State the null hypothesis and the alternate hypothesis. H0 H1 ________________________________________(b) What is the decision rule? (Round your answer to 2 decimal places.) H0 if the test statistic is greater than.(c&d) Compute SST, SSE, and SS total and complete an ANOVA table. (Round SS, MS and F values to 3 decimal places.) Source SS df MS F Treatments Error ________________________________________ ________________________________________ Total ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________(e) State your decision regarding the null hypothesis. H04) 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 how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to MINITAB with the following results: Analysis of Variance Source DF SS MS F Factor 5 36.39 7.28 1.92 Error 12 45.54 3.80 Total 17 81.93 ________________________________________Reject if F >. (Round your answer to 2 decimal places.)At the 0.01 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms? 5) The following data are given for a two-factor ANOVA. Treatment ________________________________________Block 1 2A 43 36B 37 23C 42 37________________________________________Using the.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.(a) State the null and alternate hypotheses for treatments, H0 H1 ________________________________________(b) State the decision rule for treatments. (Round your answer to 1 decimal place.) H0 if the test statistic is greater than.(c) State the null and alternate hypotheses for blocks. H0 H1 ________________________________________Also, state the decision rule for blocks. if the test statistic is greater than.(d&e) Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round SS, MS and F values to 2 decimal places.) Source SS df MS F Treatments Blocks Error ________________________________________ ________________________________________ Total ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________(f) Give your decision regarding the two sets of hypotheses. Decision: Treatments. Decision: Blocks. 6) Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee? Units Produced ________________________________________ Employee Day Afternoon Night Skaff 35 22 31 Lum 36 26 34 Clark 23 27 35 Treece 32 21 27 Morgan 21 24 24________________________________________For treatments: Reject Ho if F >. (Round your answer to 2 decimal places.)For blocks: Reject Ho if F>. (Round your answer to 2 decimal places.)Decision by shift: difference in the mean production rate.Decision by employee: difference in the mean production rate.7) 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 Toys27 44 6122 49 6446 37 5735 56 4828 47 6331 42 5317 34 4831 43 5820 57 47 47 51 44 51 54 ________________________________________(1) Complete the ANOVA table. Use.05 significance level. (Round the SS and MS values to 1 decimal place and F value to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) Source DF SS MS F P Factors Error ________________________________________ ________________________________________ Total ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________(2) 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 ________________________________________(3) Is there a difference in the mean attention span of the children for the various commercials? The hypothesis of identical means can definitely be. There is in the mean attention span.(4) Are there significant differences between pairs of means? Clothes have a mean attention span of at least ten minutes the other groups.8) When only two treatments are involved, ANOVA and the Student t test (Chapter 11) result in the same conclusions. Also,. As an example, suppose that 14 randomly selected students were divided into two groups, one consisting of 6 students and the other of 8. One group was taught using a combination of lecture and programmed instruction, the other using a combination of lecture and television. At the end of the course, each group was given a 50-item test. The following is a list of the number correct for each of the two groups. Using analysis of variance techniques, test the null hypothesis, that the two mean test scores are equal.Lecture andProgrammedInstruction Lecture andTelevision14 3312 2126 3425 2016 2914 28 21 22________________________________________(a-1) Complete the ANOVA table. (Round SS, MS and F values to 2 decimal places.) Source SS df MS F Factors Error ________________________________________ ________________________________________ Total ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________(a-2) Use a level of significance. (Round your answer to 2 decimal places.) The test statistic is F (b) Using the t test from Chapter 11, compute t. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) t (c) There is in the mean test scores.9) The city of Tucson, Arizona, employs people to assess the value of homes for the purpose of establishing real estate tax. The city manager sends each assessor to the same five homes and then compares the results. The information is given below, in thousands of dollars. Can we conclude that there is a difference in the assessors, at? = 0.05?Assessor________________________________________Home Zawodny Norman Cingle HolidayA $53 $55 $48 $43B 50 54 54 56C 45 58 42 57D 76 63 61 61E 83 81 93 85________________________________________(a) Is there a difference in the treatment means, at? =.05? (Round your answer to 2 decimal places.)The computed F value is.Decision: a difference in the treatment means.(b) Is there a difference in the block means, at? =.05? (Round your answer to 2 decimal places.)The computed F is.Decision: a difference in the block means.10) Three supermarket chains in the Denver area each claim to have the lowest overall prices. As part of an investigative study on supermarket advertising, the Denver Daily News conducted a study. First, a random sample of nine grocery items was selected. Next, the price of each selected item was checked at each of the three chains on the same day. Use 0.01 level of significance.Item Super$ Ralph's Lowblaws1 $2.30 $1.23 $1.242 2.30 1.70 1.783 2.40 3.20 3.104 2.40 1.78 1.875 1.32 1.47 1.326 4.01 3.06 1.827 4.31 3.53 2.218 4.13 3.07 2.359 5.02 4.17 4.21________________________________________(a-9) Is there a difference in the item means and in the store means? There is in the item means. There is in the store means.

 

Paper#62096 | Written in 18-Jul-2015

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