Question:

Aasics has developed a new running shoe that reportedly enables one to run faster. A researcher testing this claim randomly selected eight participants to run a mile with the new shoe one day and then the old shoe a different day. Their running times are shown below in seconds: Runner Old shoe New shoe Difference A 321 318 3 B 307 299 B C 397 401 -4 D 269 260 19 285 285 O 71 m 364 363 1 295 289 16 H 303 296 350 346 4 299 296 13 Is their evidence that the new shoe works better? Check ALL the conditions that have to be met to perform the correct inference test. The histogram of the sample differences are nearly normal so we can assume the population distribution is nearly normal. Sample size is greater than 30 so the central limit theorem shows that the population distribution is normal A random sample of participants were gathered. There are at least 10 successes (new shoes] and 10 failures (old shoes) The two groups are independent from each other The two lists are paired together. Sample size of 10 is noeater than 10%s of the population. Sample size of 10 is less than fos, of all runners