Question

In: Statistics and Probability

Quiz vs Lecture Pulse Rates Do you think your pulse rate is higher when you are...

Quiz vs Lecture Pulse Rates

Do you think your pulse rate is higher when you are taking a quiz than when you are sitting in a lecture? The data in Table 1 show pulse rates collected from 10 students in a class lecture and then from the same students during a quiz. The data are stored in QuizPulse10.

Student 1 2 3 4 5 6 7 8 9 10 Mean Std. Dev.
Quiz 75 52 52 80 56 90 76 71 70 66 68.8 12.5
Lecture 73 53 47 88 55 70 61 75 61 78 66.1 12.8


Table 1 Quiz and lecture pulse rates for 10 students


Construct a 99% confidence interval for the difference in mean pulse rate between students taking a quiz and sitting in a class lecture.

Solutions

Expert Solution

sample size ,    n =    10          
Degree of freedom, DF=   n - 1 =    9   and α =    0.01  
t-critical value =    t α/2,df =    3.2498   [excel function: =t.inv.2t(α/2,df) ]      
                  
std dev of difference , Sd =    √ [ (Di-Dbar)²/(n-1) =    9.9337          
                  
std error , SE = Sd / √n =    9.9337   / √   10   =   3.1413
margin of error, E = t*SE =    3.2498   *   3.1413   =   10.2087
                  
mean of difference ,    D̅ =   2.700          
confidence interval is                   
Interval Lower Limit= D̅ - E =   2.700   -   10.2087   =   -7.509
Interval Upper Limit= D̅ + E =   2.700   +   10.2087   =   12.909
                  
so, confidence interval is (   -7.5087   < µd <   12.9087   )  

Please revert in case of any doubt.

Please upvote. Thanks in advance


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