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a. The Null Hypothesis b. The Alternative Hypothesis c. The calculated F test statistic d. The critical F test statistic for a level of significance of 0.05 e. Your conclusion for the statistical test. f. The percent of the variation in Gas Tank Size explained by Type of vehicle. This is R2 g. Your post-test comparison of all possible pairs.

a. The Null Hypothesis b. The Alternative Hypothesis c. The calculated F test statistic d. The critical F test statistic for a level of significance of 0.05 e. Your conclusion for the statistical test. f. The percent of the variation in Gas Tank Size explained by Type of vehicle. This is R2 g. Your post-test comparison of all possible pairs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Assume that the data contained in the file represents a random sample of cars from Japan, the USA, and Other countries. Perform the following analysis. 1. Sort, or Arrange, the data so that you have Gas Tank Size by Type of car. Note the Type of car is Sporty, Compact, Medium, and Large. You will need a column for each Type. You can do this using the Sort feature and then copy and paste into separate columns for each Type, or you could use a pivot table with Model as a row variable, Type as the column variable, and Gas Tank Size as the summary value. Once you have sorted and arranged the Gas Tank Size values by Type, Copy/Paste your sorted table to a new worksheet. 2. Produce a boxplot of Gas Tank Size for each Type of car. Briefly comment on the findings paying attention to the spread and the center of each Type of car's distribution as shown by the boxplot. 3. Conduct the appropriate test to determine if there is a difference in mean Gas Tank Size by Type of car. Use a level of significance of 0.05. State your hypothesis, report the F critical and the Fcalculated from your test. Be sure to state your decision and conclusions. 4. If it is determined that a statistical difference in Gas Tank Size exists by Type of car then conduct a multiple comparison for all pairs of means to determine which pairs are statistically different. (Conduct the Tukey-Kramer procedure as discussed in the video). You will need to compare Large to Medium, Large to Compact, etc. for all possible pairwise comparisons. (Hint: there will be 6 pairs of contrasts). Use the table of studentized range, q values, to find the appropriate q value. The table is provided with the assignment in a separate file. You must report the following in a short report (provide your answer next to each part a -g): a. The Null Hypothesis b. The Alternative Hypothesis c. The calculated F test statistic d. The critical F test statistic for a level of significance of 0.05 e. Your conclusion for the statistical test. f. The percent of the variation in Gas Tank Size explained by Type of vehicle. This is R? g. Your post-test comparison of all possible pairs.
Transcribed Image Text:Assume that the data contained in the file represents a random sample of cars from Japan, the USA, and Other countries. Perform the following analysis. 1. Sort, or Arrange, the data so that you have Gas Tank Size by Type of car. Note the Type of car is Sporty, Compact, Medium, and Large. You will need a column for each Type. You can do this using the Sort feature and then copy and paste into separate columns for each Type, or you could use a pivot table with Model as a row variable, Type as the column variable, and Gas Tank Size as the summary value. Once you have sorted and arranged the Gas Tank Size values by Type, Copy/Paste your sorted table to a new worksheet. 2. Produce a boxplot of Gas Tank Size for each Type of car. Briefly comment on the findings paying attention to the spread and the center of each Type of car's distribution as shown by the boxplot. 3. Conduct the appropriate test to determine if there is a difference in mean Gas Tank Size by Type of car. Use a level of significance of 0.05. State your hypothesis, report the F critical and the Fcalculated from your test. Be sure to state your decision and conclusions. 4. If it is determined that a statistical difference in Gas Tank Size exists by Type of car then conduct a multiple comparison for all pairs of means to determine which pairs are statistically different. (Conduct the Tukey-Kramer procedure as discussed in the video). You will need to compare Large to Medium, Large to Compact, etc. for all possible pairwise comparisons. (Hint: there will be 6 pairs of contrasts). Use the table of studentized range, q values, to find the appropriate q value. The table is provided with the assignment in a separate file. You must report the following in a short report (provide your answer next to each part a -g): a. The Null Hypothesis b. The Alternative Hypothesis c. The calculated F test statistic d. The critical F test statistic for a level of significance of 0.05 e. Your conclusion for the statistical test. f. The percent of the variation in Gas Tank Size explained by Type of vehicle. This is R? g. Your post-test comparison of all possible pairs.
Summary Compact Large Medium Sporty 2790 3350 3265 3110 2895 3325 2935 3320 2640 4285 3640 3280 2655 3545 2880 2885 2485 4025 3465 2935 3065 3855 3480 2780 2670 3630 3195 2850 2750 3735 3570 3310 2920 3665 2975 2695 2780 3850 3450 2870 3020 4040 3080 2455 2745 3735 3145 2170 3110 3415 3015 2710 2920 3185 3190 2210 2645 3690 3610 2690 2575 3460 2885 2775 2775 4000 3350 2995 3930 2390 2935 3695 2900 2920 3780 2885 2985 3480 3470 3315 2680 3200 2270 3220 2765 3000 3065 3295 3480 3140
Transcribed Image Text:Summary Compact Large Medium Sporty 2790 3350 3265 3110 2895 3325 2935 3320 2640 4285 3640 3280 2655 3545 2880 2885 2485 4025 3465 2935 3065 3855 3480 2780 2670 3630 3195 2850 2750 3735 3570 3310 2920 3665 2975 2695 2780 3850 3450 2870 3020 4040 3080 2455 2745 3735 3145 2170 3110 3415 3015 2710 2920 3185 3190 2210 2645 3690 3610 2690 2575 3460 2885 2775 2775 4000 3350 2995 3930 2390 2935 3695 2900 2920 3780 2885 2985 3480 3470 3315 2680 3200 2270 3220 2765 3000 3065 3295 3480 3140
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