Table 1 Comparison of detection times in minutes for the industry standard and inhouse software testing packages 332 373 Test number Industry standard software package Inhouse software package 1 354 323 2 327 322 3 341 308 4 390 5 316 6 386 324 7 301 326 8 356 322 9 653 335 10 370 342 307 316 12 342 326 13 384 345 379 338 15 363 333 16 364 336 17 313 322 18 336 320 390 351 20 373 332 11 14 19 (c) Copy and complete the following table using the datasets given above to work out the missing values. Number of minutes to complete the test Industry standard Inhouse 338.5 322 363.5 326 381.5 335.5 Minimum (Min) Lower quartile (Q1) Median Upper quartile (23) Maximum (Max) Mean Standard deviation (SD) Interquartile range (IQR) Range Size of dataset (n) 370.1 328.5 70.21 10.46 20 20 2 (2) (d) (i) Identify the two measures of location from the table in part (e). Use both of these measures to determine which of the two datasets has the higher location. (ii) Identify the three measures of spread from the table in part (c). Which of the two datasets has the wider spread, as measured by each of these three measures? (e) (i) The researcher concludes that the inhouse software package runs quicker than the industry standard software package. Is this a reasonable conclusion? Explain your answer briefly. (ii) Which stage of the statistical investigation is used in part (e)(i)? Briefly justify your answer. (1) The researcher notices that the industry standard software package entry for the ninth test was a typing error. The correct value should have been 353. The revised mean and median for the industry standard software package data with the correct value for the seventh test are given in the following table. Industry standard software package With typing error With correct value Mean 370.1 355.1 Median 363.5 359.5 Size of datant 20 20 What is the effect on the mean and on the median of including the typing error instead of the correct value? Explain why this happens. (s) Would having the correct value affect the researcher's conclusion in part (e)(i)? Explain your answer briefly. 2] [2]