(a) Find the confidence limits at a 99% CI for  these two independent samples.  (b) Can we conclude that using hand gestures  to count the dots resulted in quicker counting?

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Nonverbal communication (e.g., the use of 
hand gestures) is a common form of human 
expression. Some researchers believe it may even 
help people make quicker decisions. To test this 
belief, a team of researchers conducted a study 
in which they recorded the time it took 12 college students to count scattered dots on a computer screen. Half (n = 6) the students pointed 
to the dots as they counted (Group Gesture); the 
other half (n = 6) were told not to point as they 
counted (Group No Gesture). The table lists the 
time it took students in each group to correctly 
count the dots (in seconds). 
Speed of Counting (in seconds) 
Group Gesture      Group No Gesture 
22                              32

16                               27
18                              24
14                               31
26                               29
18                               31
(a) Find the confidence limits at a 99% CI for 
these two independent samples. 
(b) Can we conclude that using hand gestures 
to count the dots resulted in quicker counting? Explain and solve by hand step by step process alpha = .05

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