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For each of the following​ situations, find the critical​ value(s) for z or t. ​a)H0​: rhoρequals=0.30...

For each of the following​ situations, find the critical​ value(s) for z or t.

​a)H0​: rhoρequals=0.30 vs. HA​: rhoρnot equals≠0.30 at alphaαequals=0.01

​b)H0​: rhoρequals=0.20 vs. HA​: rhoρgreater than>0.20 at alphaαequals=0.10

​c)H0​: muμequals=30 vs. HA​: muμnot equals≠30 at alphaαequals=0.10 ; n = 47

​d)H0​: rhoρequals=0.3 vs. HA​: rhoρgreater than>0.3 at alphaαequals=0.05 ; n =350

e)H0​: muμequals=40 vs. HA​: muμless than<40 at alphaαequals=0.10 ​; n=1000

​a) The critical​ value(s) is(are) z* equals=2.58,−2.58.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

​b) The critical​ value(s) is(are) z* equals=1.28 1.28.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

​c) The critical​ value(s) is(are) t* equals=1.68,−1.68.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

​d) The critical​ value(s) is(are) z* equals = 1.64 1.64.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

​e) The critical​ value(s) is(are) t* equals=negative 1.28 −1.28.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

I HAVE ALL THE ANSWERS I JUST NEED AN EXAMPLE FOR EACH SHOWING THE WORK SO I CAN UNDERSTAND HOW TO DO THESE THANK YOU

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