3. Numerical Techniques for Describing Data X 152. A fast food chain samples 10 containers of small french fries 159. A credit score agency randomly Clear from each of two different locations to check the output qual- to determine the mean balance ity of its production process. The containers are set to have credit card. The result of the su 25 french fries each. The actual number of french fries which sample. cent (15) were put in each container is recorded in the following table. Data values for 15 college stu balances (measured in dollars pe Number of Fries Number of Fries 550, 850, 380, 1035, 870, 985, 1080 at Location One at Location Two 1200, 1100, 800 24 24 Using these data, calculate: 24 25 a) y and s. 25 25 b) The percent of monthly credi 23 26 standard deviations of the mea 26 24 c) Using Chebychev's Theorem, See all 26 values are within 2 standard dev 25 d) Compare parts (b) and (c). Are 25 with Chebychev's Theorem? 0.74 Less than 25 25 160. During last year's Marathon on Lo 24 24 time to run the marathon was 225 m 23 24 deviation of 25 minutes. a) Using these results, compare the output quality of the a) What can be said about the perce Group 146, 159 two locations by computing the sample mean number took more than 275 minutes to fi of fries given in each container at each location as your you have no information about the standard. tion? b) Compute the sample standard deviation, s. for each loca- b) What is the approximate percent tion's output. took more than 275 minutes to fi c) Using this additional information, compare the output if the distribution has an appro distribution? 98 114 149 quality of the two locations. c) If the distribution is approximatel 153. If the data values of two distributions have different units. then which of the following times might 159