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

1%

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

42?

(Note:

x=43.18

and

s=11.383.

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

Click here to view the data on alligator death rolls.

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Question content area bottom

Part 1

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

H0:

greater than>

equals=

less than<

not equals

enter your response here

Ha:

equals=

less than<

not equals

greater than>

enter your response here

(Type integers or decimals. Do not round.)

Part 2

The test statistic is

t=enter your response here.

(Round to two decimal places as needed.)

Part 3

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 4

Reject

Do not reject

the null hypothesis. The data

provide

do not provide

sufficient evidence to conclude that the average angle between the alligator's body and its head is

the same as

less than

different from

greater than

the hypothesized mean.