Alligators perform a spinning maneuver, referred to as a "death roll," to subdue their prey. In a study of alligator death rolls, one of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of

20

rolls yielded the data provided below, in degrees. At the

5%

significance level, do the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than

43?

(Note:

x=41.07

and

s=8.638.

Preliminary data analyses indicate that you can reasonably use a t-test to conduct the hypothesis test.)

1.

Set up the hypotheses for the one-mean t-test.

H0:

?

Ha:

?

2.

(Type integers or decimals. Do not round.)The test statistic is t=

3. (pick one and give value

A.

The critical

valueis

t=enter your response here.

B.

The critical

valuesare

t/2=enter your response here.

C.

The critical

valueis

t=

4. Reject/do not reject the null hypothesis. The data provide/ does not provide sufficient evidence to conclude that the average angle between the alligator's body and its head is greater than/less than/equal to/not equal to the hypothesized mean.