Question

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

​a)

H0​:

rhoρequals=0.50.5

vs.

HA​:

rhoρnot equals≠0.50.5

at

alphaαequals=0.010.01

​b)

H0​:

rhoρequals=0.40.4

vs.

HA​:

rhoρgreater than>0.40.4

at

alphaαequals=0.100.10

​c)

H0​:

muμequals=1010

vs.

HA​:

muμnot equals≠1010

at

alphaαequals=0.100.10​;

nequals=2626

​d)

H0​:

rhoρequals=0.50.5

vs.

HA​:

rhoρgreater than>0.50.5

at

alphaαequals=0.010.01​;

nequals=335335

​e)

H0​:

muμequals=2020

vs.

HA​:

muμless than<2020

at

alphaαequals=0.100.10​;

nequals=10001000

​a) The critical​ value(s) is(are)

▼

z*

t*

equals=nothing.

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

Answer 1

Solution:

​a)

vs.

at

Answer: The critical value are:

​b)

vs.

at

Answer: The critical value is:

c)

vs.

at .

Answer: The critical values are:

​d)

vs.

at ​;

Answer: The critical value is:

​e)

vs.

at

Answer: The critical value is: