A researcher is interested in determining the effects of sleep deprivation on the length of time it takes rats to correctly travel a maze to its end point. The researcher wants to know whether the amount of sleep deprivation makes a difference in the speed with which the rats correctly travel the maze. The researcher begins with twenty rats and randomly assigns them to one of two groups such that there are ten rats in each group. One group of 10 rats is sleep deprived for 24 hours prior to performing in the maze, and the second group of 10 rats is sleep deprived for 36 hours before performing in the maze. The researcher records the length of time (in seconds) it takes for each rat to correctly run the maze. The following data were recorded for each rat in each group:
Group 1 (24 hour deprivation)Group 2 (36 hour deprivation)8141012141612169129161314815710119
Complete step 3 of the hypothesis testing procedure and calculate the appropriate z , t, or r. Round to the nearest hundredths place. If your calculated z , t, or r is not identical to one of the values below, but within plus or minus 0.16 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value. Ignore the minus sign if your calculated z or t is negative, but if you calculate r and it's negative, of course, write the minus sign.
.33
2.05
2.78
3.02
3.69
the correct value of z , t, or r is not listed in alternatives "a" through "e", even when taking into consideration a rounding error of plus or minus 0.16.