Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Describe each data set, that is determine the shape, center, and spread. Sample mean for Car 1 Full data set o x= mi / 10 gal Car 1 (Type an integer or decimal rounded to one decimal place as needed) 233 291 169 227 278 225 234 161 279 241 261 317 Sample mean for Car 2 x= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) 251 313 299 Car 2 209 229 202 231 245 242 Median for Car 1 256 277 249 M= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed) 296 299 259 245 280 274 Median for Car 2 M= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 1 R= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 2 R= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation for Car 1 s = mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample standard deviation for Car 2 s mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Which car would the customer buy and why? O A. Car 2, because it has a lower sample standard deviation, hence more predictable gas mileage. O B. Car 1, because it has a larger range of gas mileage. QC, Car 2, because it has a lower mean gas mileage. O D. There is very little difference between the two cars. Click to select your answer(s)

A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Find the mean and median for each of the two samples and then compare the two sets of results. Are the measures of center the best statistics to use with these data? What else might be better? Systolic: Diastolic: 111 83 53 145 105 149 114 147 134 84 69 90 74 77 122 110 101 73 85 64 Find the means. The mean for systolic is mm Hg and the mean for diastolic is mm Hg. (Type integers or decimals rounded to one decimal place as needed.)

The following histogram shows the exam scores for the pre algebra class. Use this histogram to answer the questions. Find the class width for this histogram.

The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands): Cost 9 Number 85 O 0.246 -0.071 0.235 0.708 2 52 3 55 Table 3 4 68 2 67 5 86 9 83 10 73

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level. Number of Defective Lenses Defect type Number of defects Scratch 1866 Right shaped - small 1935 Flaked 1979 Wrong axis 1921 Chamfer wrong 1864 Crazing, cracks 1991 Wrong shape 2004 Wrong PD 1895 Spots and bubbles 1917 Wrong height 1885 Right shape - big 1875 Lost in lab 1886 Spots/bubble - intern 1935   State the hypotheses.H0: Each defect type     in the same proportion.Ha: Each defect type     in the same proportion. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 =  Calculate the p-value. Round to four decimal places.p-value =  State your decision.Since p-value     0.05,…

Answer the questions for the data in the table below. x 012578 y 1 3 5 6 10 9 a. Draw a scatter diagram for the data. Should the value of r be positive or negative? Explain. b. Calculate the value of r. Round your answer to 3 decimal places. r =

Draw a box plot for the data set with the statistics in the picture

Draw a box plot for the following data: Median: 4.5 Lowest Value: 1 Greatest Value: 9 Lower Quartile: 2.5 Interquartile Range: 6 8 10

The data show the number of vacation days used by a sample of 20 employees in a recent year. Use technology to answer parts (a) and (b). a. Find the data set's first, second, and third quartiles. b. Draw a box-and-whisker plot that represents the data set. 1 5 4 3 6 0 5 3 4 5 3 1 10 7 8 6 1 2 89 a. Find the three quartiles. Q₁ = Q₂ = Q3 = (Type integers or decimals. Do not round.) b. Choose the correct answer plot below. Note that different technologies will produce slightly different results. O A. OB. Q Q C O C. Q

Using the following stem & leaf plot, find the five number summary for the data. 0 2 3 4 4 5 9 3 4 2 2 79 0 45 6 89 6 0 8 Min = Q1 Med = Q3 = %3D Max =