To test H0​:μ=100 vers H1​:μ≠​100, a simple random sample of size n=21 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(e). Click here to view the​ t-Distribution Area in Right Tail. Part 1 (a) If x=104.5 and s=9.7, compute the test statistic. t= ​(Round to three decimal places as​needed.) Part 2 ​(b) If the researcher decides to test this hypothesis at the α=0.01 level of​ significance, determine the critical values. (e a comma to separate answers as needed. Round to three decimal places as​ needed.) ( c ) Graph the T distribution (d) Will the researcher reject the null​hypothesis? ​(e) Construct a​ 99% confidence interval to test the hypothesis.