Conduct the stated hypothesis test for

1

2

.

1

2

.

Assume that the samples are independent and randomly selected from normal populations.H

0

:

1

2

=0

H

0

:

1

2

=

0

H

1

:

1

2

0

H

1

:

1

2

0

=0.05

=

0.05

n

1

=36

n

1

=

36

x

1

=2,229

x

1

=

2

,

229

1

=151.2

1

=

151.2

n

2

=31

n

2

=

31

x

2

=2,310

x

2

=

2

,

310

2

=171.1

a.Calculate the test statistic.

b.Determine the critical value(s) for the hypothesis test.

c.Conclude whether to reject the null hypothesis or not based on the test statistic.