Question

17 babies were aked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was1.18 seconds with a standard deviation of 1.95 seconds. Assuming the differences are normally distributed with no​ outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the 0.01 level of significance. Find the test statisc Find the P value

Answer 1

Given:

The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.18 seconds with a standard deviation of 1.95 seconds

i.e.   = 1.18 seconds, SD = 1.95 seconds, n = 17

Hypothesis:

Ho: D = 0

Ha: D > 0 , The difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0

Calculation:

Test statistic:

Degrees of Freedom = n-1 = 17-1 = 16

P-value: 0.0120

Conclusion:

P-value > , i.e. 0.0120 > 0.01, That is Fail to Reject Ho at 1% level of significance.

Therefore, the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0