The value closest to the standard error to use in the denominator of the t-test statistic is approximately C. 0.441.Therefore is correct answer C. 0.441.
The standard error (SE) for the paired t-test can be calculated using the following formula:
SE =
where SD is the standard deviation of the differences and N is the number of pairs.
In this case, let's use the differences (new medication minus current medication).
The standard deviation of the differences (SD) is given as 1.395, and there are 10 pairs in the experiment.
SE =
SE =
SE≈0.441 .
Question
Makers Of A New Pain-Relieving Medication Claim That It Relieves Chronic Pain Faster Than The Current Top-Selling Pain Reliever On The Market. A Double-Blind Experiment Was Conducted In Which 10 People Who Experience Chronic Pain Were Randomly Selected To Take Either The New Or The Current Medication. Each Of The 10 People Recorded The Time, In Minutes, From
Makers of a new pain-relieving medication claim that it relieves chronic pain faster than the current top-selling pain reliever on the market. A double-blind experiment was conducted in which 10 people who experience chronic pain were randomly selected to take either the new or the current medication. Each of the 10 people recorded the time, in minutes, from taking the medication until pain relief. After an appropriate time period, each of the 10 people took the other medication and recorded the time from taking the medication until pain relief. Which of the following values is closest to the standard error to use in the denominator of the t test statistic (assuming population normality assumptions are met)?
Minutes until Pain Relief
New Medication
Current Medication
Difference (new minus current)
Mean
15.600
16.025
-0.425
SD
4.811
4.833
1.395
a. 2.156
b. 4.650
c. 0.441
d. 0.195
e. 0.373 .