Time Treatment Group 47.20001 NV 21.99998 NV 20.39999 NV 19.70001 NV 17.4 NV 14.

Question

Time Treatment Group
47.20001   NV
21.99998   NV
20.39999   NV
19.70001   NV
17.4 NV
14.7 NV
13.39999   NV
13 NV
12.3 NV
12.20001   NV
10.3 NV
9.7 NV
9.7 NV
9.5 NV
9.1 NV
8.9 NV
8.9 NV
8.4 NV
8.09999   NV
7.9 NV
7.8 NV
6.9 NV
6.3   NV
6.1   NV
5.6   NV
4.7   NV
4.7   NV
4.3   NV
4.2   NV
3.9   NV
3.4   NV
3.1   NV
3.1   NV
2.7   NV
2.4   NV
2.3   NV
2.3   NV
2.1   NV
2.1   NV
2   NV
1.9   NV
1.7   NV
1.7   NV
19.70001   VV
16.19998   VV
15.9   VV
15.40002   VV
9.7   VV
8.9   VV
8.6   VV
8.6   VV
7.4   VV
6.3   VV
6.1   VV
6   VV
6   VV
5.9   VV
4.9   VV
4.6   VV
3.8   VV
3.6   VV
3.5   VV
3.3   VV
3.3   VV
2.9   VV
2.8   VV
2.7   VV
2.4   VV
2.3   VV
2   VV
1.8   VV
1.7   VV
1.7   VV
1.6   VV
1.4   VV
1.2   VV
1.1   VV
1   VV

2. (20 pts) This dataset (fusionemtw contains results from an experiment in visual perception using random dot stereograms, such as that shown below. Both images appear to be composed entirely of random dots. However, they are constructed so that a 3D image (of a diamond) will be seen, if the images are viewed with a stereo viewer, causing the separate images to fuse. Another way to fuse the images is to fixate on a point between them and defocus they eyes, but this technique takes some effort and practice. An experiment was performed to determine whether knowledge of the form of the embedded image affected the time required for subjects to fuse the images. One group of subjects (group NV) received either no information or just verbal information about the shape of the embedded object. A second group (group VV) received both verbal information and visual information (e.g., a drawing of the object). Fusion time for both groups was recorded. a) Is this a designed experimentor an observational study? Justify your answer. b) At 0.05 significance level, is there sufficient evidence to conclude that the group NV differs from VV? c) Construct and interpret a 90% confidence interval for the difference in fusion time between NV groups.

Explanation / Answer

a) Ans It is a designed of experiment. because it is a systematic method to determine the relationship between factors affecting a time requird for subjects to fuse the image.

b)

Group N Mean StDev SE Mean
NV 43 8.56 8.09 1.2
VV 35 5.55 4.80 0.81

Difference = mu (NV) - mu (VV)
Estimate for difference: 3.01
95% CI for difference: (0.06, 5.95)
T-Test of difference = 0 (vs not =): T-Value = 2.04 P-Value = 0.045 DF = 70

Conclusion: The estimated p-value is 0.045 and slitely less than 0.05. hence, we can conclude that theere is sufficient evidence to conclude that the groups NV differs from group VV.

c) Estimate for difference 90% CI for difference fro the difference in fusion time between NV and VV groups is (0.55, 5.47). It means that the difference mean of fusion time between NV and VV groups lies in this interval with 90% confidence.

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