For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent.

Claim:

1<2,

=0.01.

Sample statistics:

x1=1240,

n1=40,

x2=1190,

and

n2=60.

Population parameters:

1=80

and 2=105.

Question content area bottom

Part 1

(a) The test statistic for

12

is

enter your response here.

Part 2

(b) The standardized test statistic for

12

is

enter your response here.

(Round to two decimal places as needed.)

Part 3

(c) Is the standardized test statistic in the rejection region?

Yes

Yes

No

No

Part 4

(d) Should you reject or fail to reject the null hypothesis?

H0:

12;

Ha:

1<2.

Fail to reject

Reject

H0.

At the 1% significance level, there is

enough

not enough

evidence to support the claim.