Question

12. In an experiment, 15 babies were asked 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 each event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.15 seconds with a standard deviation of 1.64 seconds. Complete parts (a) through (e). Click the icon to view the table of critical t-values. (a) State the null and alternative hypotheses determine if babies tend to look at the hinderer toy longer than the helper toy. Let Ha Hinderer - Helper where hinderer is the population mean time babies spend watching the climber approach the hinderer toy and helper is the population mean time babies spend watching the climber approach the helper toy. Ho Ho (1) H: H (2) (b) 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 0.05 level of significance. Find the test statistic for this hypothesis test (Round to two decimal places as needed) Determine the critical value for this hypothesis test. thano (Use a comma to separate answers as needed. Round to two decimal places as needed) State the conclusion for this hypothesis test O A. Riect Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the difference is greater than O B. Do not reject Ho There is not sufficient evidence at the a=0.05 level of significance to conclude that the difference s greater than 0. OC. Relect Ho There is not sufficient evidence at the a= 0.05 level of significance to conclude that the difference is greater OD. Do not reject Ho. There is sufficient evidence at the a=0.05 level of significance to conclude that the difference is greater than o. (c) What do you think the results of this experiment imply about babies' ability to assess surprising behavior? A. There is not sufficient evidence that babies have the ability to assess surprising behavior OB Tradufficient evidence that babies may have the ability to assess surprising behavior. Further experimentation OC. This paperipetutiny anything about babies ability to assess surprising behavior because correlation does OD. There is sufficient evidence that babies have the ability to assess surprising behavior 1: Table of Critical t-Values

Answer 1

a)

Ho :   µd=   0
Ha :   µd >   0

b)

Level of Significance ,    α =    0.05                  
                          
sample size ,    n =    15                  
                             
                          
mean of difference ,    D̅ =    1.1500                  
                          
std dev of difference , Sd =        1.6400                  
                          
std error , SE = Sd / √n =    1.6400   / √   15   =   0.4234      
                          
t-statistic = (D̅ - µd)/SE = (   1.15   -   0   ) /    0.4234   =   2.72
                          
Degree of freedom, DF=   n - 1 =    14                  
t-critical value , t* =        1.76 [excel function: =t.inv(α,df) ]              

O A. Reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that the difference is greater Phan

c)

o B. There is sufficient evidence that babies may have the ability to assess surprising behavior. Further experimentation should be performed TI

  

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