This problem is based on a study conducted by Stephens, Atkins & Kingston (2009). You wish to determine if the pain threshold is different when swearing compared to saying neutral nonsense words. For the study reported below, you asked each participant to plunge a hand into the icy water and keep it there as long as the pain would allow. In one condition, the participants repeated their favorite curse words while their hands were in the water. In the other condition, the participants repeated a neutral word (e.g., cantaloupe or platypus). You obtain the data shown below: Amount of Time (in seconds) Swear Words Neutral Words 49 37 67 61 59 47 59 45 28 32 87 80 89 68 77 66 55 50 87 72 47 46 58 64 64 56 64 63 65 58 55 56 41 49 50 52 Calculate the confidence interval and conduct the following 2-tailed hypothesis test with α=0.05. • Give the average for the swear word condition (in seconds): Mswear= • Give the average for the neutral word condition (in seconds): Mneutral= • Give the average difference in times (swear – neutral): Md= • Give the standard deviation of the time difference: SDd= • Give the 95%-confidence interval for the average difference in time (gain in swearing over neutral): 95%-C.I. is = • This difference in time represents an effect size of... d= • Give the test statistic for this hypothesis test: t= • Give the P-value for this hypothesis test: p=
This problem is based on a study conducted by Stephens, Atkins & Kingston (2009). You wish to determine if the pain threshold is different when swearing compared to saying neutral nonsense words. For the study reported below, you asked each participant to plunge a hand into the icy water and keep it there as long as the pain would allow. In one condition, the participants repeated their favorite curse words while their hands were in the water. In the other condition, the participants repeated a neutral word (e.g., cantaloupe or platypus). You obtain the data shown below:
Amount of Time (in seconds)
| Swear Words | Neutral Words |
|---|---|
| 49 | 37 |
| 67 | 61 |
| 59 | 47 |
| 59 | 45 |
| 28 | 32 |
| 87 | 80 |
| 89 | 68 |
| 77 | 66 |
| 55 | 50 |
| 87 | 72 |
| 47 | 46 |
| 58 | 64 |
| 64 | 56 |
| 64 | 63 |
| 65 | 58 |
| 55 | 56 |
| 41 | 49 |
| 50 | 52 |
Calculate the confidence interval and conduct the following 2-tailed hypothesis test with α=0.05.
• Give the average for the swear word condition (in seconds):
Mswear=
• Give the average for the neutral word condition (in seconds):
Mneutral=
• Give the average difference in times (swear – neutral):
Md=
• Give the standard deviation of the time difference:
SDd=
• Give the 95%-confidence interval for the average difference in time
(gain in swearing over neutral):
95%-C.I. is =
• This difference in time represents an effect size of...
d=
• Give the test statistic for this hypothesis test:
t=
• Give the P-value for this hypothesis test:
p=
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