Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (Note: the automated question following this one will ask you confidence interval questions for this same data, so jot down your work.) 
H_{0}: μ_{1} − μ_{2} = 0 
H_{A}: μ_{1} − μ_{2} ≠ 0 
x−1x−1 = 74  x−2x−2 = 65 
σ_{1} = 1.57  σ_{2} = 14.10 
n_{1} = 19  n_{2} = 19 
a1. 
Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.) 
Test statistic 
a2.  Calculate the pvalue of the test statistic. Remember: because this is a twotailed hypothesis test, you must double your pvalue that will be compared with α in the hypothesis test criteria. (Round your answer to 4 decimal places.) 
pvalue 
a3.  Do you reject the null hypothesis at the 5% level? 

b.  Using the critical value approach, can we reject the null hypothesis at the 5% level? 

Hope this will help you. Thank you :)
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