it is a business statistics project in which you need to collect data on automobiles and answer the attached questions according to the collected data.
Descriptive Statistd.cBrovide a printout in which Here you find the mean and standard deviation for the 75 sizes/mileages of your data set. Also, list your size/mileage for your 10" and your 50™ observation below. For all of question 2, treat these values as the mean and standard deviation of the population when answering questions. Size/Mileage for Observation Size/Mileage for Observation a. For this problem, assume that the distribution for all sizes/mileages in the population are normally distributed (may not really be true). Find the proportion of all sizes/mileages that would fall between the sizes/mileages of your 10" and 50" observations. To receive full credit, you should include pictures of the normal curve (labeled with both x and z-values) with the pertinent probabilities shaded in the picture. X . [lJAssuming the distribution of the sizes/mileages are normal, use the mean and standard deviation you found above to locate the 6.3" percentile in the size/mileage distribution. To receive full credit, you show as much work as possible. Suppose you take a future sample of 100 sizes/mileages from your population. Describe the sampling distribution for the x-bar value that you woltilld find (hint: there choiild be three narte to thie _ No b. [JAssuming the distribution of the sizes/mileages are normal, use the mean and standard deviation you found above to locate the 6.3" percentile in the size/mileage distribution. To receive full credit, you show as much work as possible. c. Suppose you take a future sample of 100 sizes/mileages from your population. Describe the sampling distribution for the x-bar value that you would find. (hint: there should be three parts to this answer) d. Use the sampling distribution to find the probability that the sample mean from that future sample would be greater than the size/mileage for Observation #50. To receive full credit, you should include pictures of the normal curve (labeled with both x-bar and z-values) with the pertinent probabilities shaded in the picture. 3. Use two of the techniques discussed in class to asse: ‘he normality of the Price distribution from your data set. You can choose the two techniques you use. Just make sure you show us enough information (including printouts) to check your work. interpretations as generic answers (like “model 1” or “data.” Instead use specific levels like Brandon homes or Honda Accords, and variable names like price or size or mileage, etc.) will not receive full credit. 1. Identify your experimental unit for this project: 2. Identify the three variables that you collected data for your project and give the type of variable (Quantitative or Qualitative) for each. Variable 1: Type: Variable 2: Type: Variable 3: Type: 3. Identify what the three levels of your Model/Location (e.g., Brandon, Honda Accord, etc.) variable represent: Level 1: Level 2: Level 3: 4. [Give me an assessment of the shape of the sizes/mileages that you entered in your data set. What shape do you think the data possess? Attach both the stem- and-leaf display and the histrogram for the size/mileage variable for all 75 observations below your assessment of the shape. Assessment of the shape: Son Es Ramm WEEE nn REE EEE ETE dt TT ————————r— variable for all 75 observations below your assessment of the shape. Assessment of the shape: 5. [Copy and paste the descriptive statistics for the prices variable for all 75 observations in the box to the right. Make sure the output contains the N, mean, median, standard deviation, min/max, and the quartiles of the variable specified. Interpret in the words of the problems the following statistics that you generated: Mean: Standard Deviation: Identify the minimum and maximum price values for your 75 in the data set shown in the printout. Calculate (please show your math) the z-score for both these prices. Use these z-scores to tell me whether you believe these two values are outliers and why/why not. and-leaf display] here using al courier new font. Resize to fit. Paste your stem-|Paste your histogram here Outlier: Yes or No (Select one) Suafnuara ucviauorn, Imivinax, afd the quartiles specified. Interpret in the words of the problems the following statistics that you generated: Mean: of Standard Deviation: the variable Identify the minimum and maximum price values for your 75 in the data set shown in the printout. Calculate (please show your math) the z-score for both these prices. Use these z-scores to tell me whether you believe these two values are outliers and why/why not. courier new font. Resize to fit. Paste your stem-|Paste your histogram here and-leaf display here using al Outlier: Yes or No (Select one) 6. [1 want you to use the boxplot method to identify outliers in your data set for the size/mileage variable. | want you to consider the three locations/models separately, however. Use a single boxplot to identify both outliers and suspect outliers that are present in each of the three locations/models sampled. Attach the boxplots of the sizes/mileages for each of the three locations/models below. (You should have one printout that contains three boxplots). Identify how many outliers and suspect outliers you have for each Location/Model that you sampled. Make sure you check for both types of outliers (even if you tell me you don't have any of one, or both, types) for each Location/Model! Location/Model 1: Location/Model 2: