hhuuhuhuhuhuhuhu

Price of Chevy Cobalts The following data represent the sales price in dollars for nine 2-year- old Chevrolet Cobalts in the Los Angeles area. 14050 13909 12909 10905 9980 8998 7889 7200 5500 Source: cars.com (a) Determine the sample mean and median price. (b) Determine the range, sample standard deviation, and interquartile range. (c) Redo (a) and (b) if the data value 14,050 was incorrectly entered as 41,050. How does this change affect the mean? The median? the range? the standard deviation? the interquartile range? Which of these values is resistant?Determine the range of the homework data from. The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Factoring Polynomials. 48 88 57 109 111 193 71 83 Source: MyMathLab(a) Determine the standard deviation of the homework data from The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Factoring Polynomials. 48 57 109 111 71 83 Source: MyMathLab (b) By hand, determine and interpret the interquartile range of the homework data from Problem. The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Section, Factoring Polynomials. 88 57 109 11 93 71 83 Source: MyMathLab (c) Which of these two measures of dispersion is resistant? Why? Problem The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Section, Factoring Polynomials. 83 57 109 111 93 71 83 Source: MyMathLab (a) Determine the mean amount of time spent doing Section homework. (b) Determine the median amount of time spent doing Section homework. (c) Suppose the observation 109 minutes is incorrectly recorded as 1009 minutes. Recompute the mean and the median. What do you notice? What property of the median does this illustrate?In a random sample of 250 toner cartridges, the mean number of pages a toner cartridge can print is 4302 and the standard deviation is 340. (a) Suppose a histogram of the data indicates that the sample data follow a bell-shaped distribution. According to the Empirical_Rule, 09.7% of toner cartridges will print between and pages. (b) Assuming that the distribution of the data are bell shaped, determine the percentage of toner cartridges whose print total is between 3622 and 4082 pages. (c) If the company that manufactures the toner cartridges guarantees to replace any cartridge that does not print at least 3622 pages, what percent of cartridges can the firm expect to be responsible for replacing, according to the Empirical Rule? (d) Use Chebyshev's inequality to determine the minimum percentage of toner cartridges with a page count within 1.5 standard deviations of the mean. (e) Use Chebyshev's inequality to determine the minimum percentage of toner cartridges that print between 3282 and 5322 pages.The following data represent the length of time (in minutes) between eruptions of Old Faithful in Yellowstone National Park. Time (minutes) Frequency 40-49 50-59 44 80-69 23 70-79 80-89 107 90-99 11 100-109 (a) Approximate the mean length of time between eruptions. (b) Approximate the standard deviation length of time between eruptions.Travel Time to Work The frequency distribution listed in the table represents the travel time to work (in minutes) for a random sample of 895 U.S. adults. Travel Time (minutes) Frequency 0-9 125 10-19 271 20-29 186 30-39 121 40-49 54 50-50 82 80-60 43 70-79 20 80-80 13 Source: Based on data from the 2009 American Community Survey (a) Approximate the mean travel time to work for U.S. adults. (b) Approximate the standard deviation travel time to work for U.S. adults.Yolanda wishes to develop a new type of meatloaf to sell at her restaurant. She decides to combine 2 pounds of ground sirloin (cost $2.70 per pound). 1 pound of ground turkey (cost $1.30 per pound), and = pound of ground pork (cost $1.80 per pound). What is the cost per pound of the meatloaf?An engineer is studying bearing failures for two different materials in aircraft gas turbine engines. The following data are failure times (in millions of cycles) for samples of the two material types. Material A Material B 3.17 5.88 5.78 9.65 4.31 6.91 8.71 13.44 4.52 8.01 8.84 14.71 4.68 8.97 7.23 16.39 5.69 11 02 8.20 24.37 (a) Determine the sample mean failure time for each material (b) By hand, compute the median failure time for each material. (c) Determine the sample standard deviation of the failure times for each material. Which material has its failure times more dispersed? (d) By hand, compute the five-number summary for each material. (e) On the same graph, draw boxplots for the two materials. Annotate the graph with some general remarks comparing the failure times. (f ) Describe the shape of the distribution of each material using the boxplot and quartiles.The following data represent the weights (in grams) of 50 randomly selected quarters. Determine and interpret the quartiles. Does the data set contain any outliers? 5.49 5.58 5.60 5 62 5.68 5.52 5.58 560 563 5.70 5.53 5.58 5.60 5.63 5.71 5.53 5.58 5.60 5.63 5.71 5.53 5.58 5.60 5.65 5.72 5.58 5.58 5.60 5.68 5.73 5.57 5.59 5.60 5.68 5.73 5.57 5.59 5.61 568 5.73 5.57 5.59 5.62 567 5.74 5.57 5.59 5.62 2 5.67 5.84According to the National Center for Health Statistics, a 10-year-old male whose height is 53.5 inches has a height that is at the 15th percentile. Explain what this means.The distribution of income tends to be skewed to the right. Suppose you are running for a congressional seat and wish to portray that the average income in your district is low. Which measure of central tendency, the mean or the median, would you report? Why?Questions about authorship of unattributed documents are one of the many problems confronting historians. Statistical analyses, when combined with other historical facts, often help resolve these mysteries. One such historical conundrum is the identity of the writer known as A MOURNER. A letter appearing in the February 26. 1770, issue of The Boston Gazette and Country Joumal is as follows: The general Sympathy and Concern for the Murder of the Lad by the base and infamous Richardson on the 22d Instant, will be sufficient Reason for your Notifying the Public that he will be buried from his Father's House in Frogg Lane, opposite Liberty-Tree, on Monday next, when all the Friends of Liberty may have an Opportunity of paying their last Respects to the Remains of this little Hero and first Martyr to the noble Cause-Whose manly Spirit (after this Accident happened) appear'd in his discreet Answers to his Doctor, his Thanks to the Clergymen who prayed with him, and Parents, and while he underwent the greatest Distress of bodily Pain; and with which he met the King of Terrors. These Things, together with the several heroic Pieces found in his Pocket, particularly Wolfe's Summit of human Glory, gives Reason to think he had a martial Genius, and would have made a clever Man. A MOURNER. The Lad the writer refers to is Christopher Sider, an 11-year-old son of a poor German immigrant. Sider was shot and killed on February 22, 1770, in a civil disturbance involving schoolboys. patriot supporters of the nonimportation agreement, and champions of the English crown, preceding the Boston Massacre by just a couple of weeks. From a historical perspective, the identity of A MOURNER remains a mystery. However, it seems clear from the letter's text that the author supported the patriot position, narrowing the field of possible writers. Ordinarily. a statistical analysis of word frequencies contained in the contested document compared with frequency analyses for known authors permit an identity inference to be drawn. Unfortunately, this letter is too short for this strategy. Another possibility is based on the frequencies of word lengths. In this case, a simple letter count is generated for each word in the document. Proper names, numbers, abbreviations, and titles are removed from consideration, because these do not represent normal vocabulary use. Care must be taken in choosing comparison texts, since colonial publishers habitually incorporated their own spellings into their essays they printed. Therefore, it is desirable to get comparison texts from the same printer the contested material came from. The following table contains the summary analysis for six passages printed in The Boston Gazette and Country Joumal in early 1770. The Tom Sturdy (probably a pseudonym) text was included because of the use of the phrase "Friends of Liberty." which appears in A MOURNER's letter, as opposed to the more familiar "Sons of Liberty." John Hancock, James Otis, and Samuel Adams are included because they are well-known patriots who frequently wrote articles carried by the Boston papers. Samuel Adams' essay used in this analysis was signed VINDEX, one of his many pseudonyms. The table presents three summaries of work penned by Adams: The first two originate from two separate sections of the VINDEX essay and the last is a compilation of the first two. Summary Statistics of Word Length from Sample Passages by Various Potential Authors of the Letter Signed A MOURNER Tem Sturdy John Hancock James Ofis Samuel Adams-| Samuel Adams- Samuel Adams1 8 Mean Median Mode 2 3 2 2 2 Standard deviation 2.17 275 2 8 270 Sample variance TRA Range 13 9 14 12 16 Minimum 1 I I Maximum 14 10 13 17 17 795 842 1482 Count 121 176 151 Generate a data set consisting of the length of each word used in the letter signed by A MOURNER. Be sure to disregard any text that uses proper names, numbers, abbreviations, or titles.The following data represent the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Section, Factoring Polynomials. 48 88 57 109 111 93 71 83 Source: MyMathLab (a) Determine the mean amount of time spent doing Section homework. (b) Determine the median amount of time spent doing Section homework. (c) Suppose the observation 109 minutes is incorrectly recorded as 1009 minutes. Recompute the mean and the median. What do you notice? What property of the median does this illustrate?The Federal Bureau of Investigation classifies various larcenies. The following data represent the type of larcenies based on a random sample of 15 larcenies. What is the mode type of larceny? Pocket picking and purse Bicycles From motor vehicles snatching From motor vehicles From motor vehicles From buildings Motor vehicle From buildings Shoplifting accessories From motor vehicles Shoplifting From motor vehicles Pocket picking and purse From motor vehicles From motor vehicles snatching