Determine the appropriate critical value(s) for each of the following tests concerning the population mean:

a.

HA:

>12,

n=11,

=10.4,

=0.025

b.

HA:

20,

n=22,

s=32.23,

=0.01

c.

HA:

31,

n=37,

=32.235

=0.20

d.

HA:

<51;

data:

13.1,

14.8,

45.3,

21.9,

17.8;

=0.10

e.

HA:

x>11,

n=25,

=12.5