An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation of 2.3 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic t. t= 2.06 (Round to two decimal places as needed.) Obtain the P-value. P = 0.047 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Fail to reject Ho because the P-value is greater than a. (d) Interpret thedecision in the context of the original claim. There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is (Type integers or decimals. Do not round.) equal to 11.6 minutes.
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation of 2.3 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic t. t= 2.06 (Round to two decimal places as needed.) Obtain the P-value. P = 0.047 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Fail to reject Ho because the P-value is greater than a. (d) Interpret thedecision in the context of the original claim. There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is (Type integers or decimals. Do not round.) equal to 11.6 minutes.
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Author:Amos Gilat
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Can you please check my work
![oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation
of 2.3 minutes. At a= 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
An
.....
The claim is the
null
hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
t = 2.06
(Round to two decimal places as needed.)
Obtain the P-value.
P = 0.047
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject Ho because the P-value
is
greater than a.
(d) Interpret the decision in the context of the original claim.
There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is
equal to
11.6 minutes.
(Type integers or decimals. Do not round.)
Entor](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabaf6faf-4671-47fb-aab4-af5f4aa08569%2F53e2b69f-024c-433a-a292-8690a56090cb%2Fgyelldg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation
of 2.3 minutes. At a= 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
An
.....
The claim is the
null
hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
t = 2.06
(Round to two decimal places as needed.)
Obtain the P-value.
P = 0.047
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject Ho because the P-value
is
greater than a.
(d) Interpret the decision in the context of the original claim.
There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is
equal to
11.6 minutes.
(Type integers or decimals. Do not round.)
Entor
![An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation
of 2.3 minutes. At a= 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
.....
The claim is the
null
hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
less than or equal to
t= 2.06
(Round to two decimal places as needed.)
not equal to
Obtain the P-value.
less than
P= 0.047
(Round to three decimal places as needed.)
greater than
>
(c) Decide whether to reject or fail to reject the null hypothesis.
equal to
Fail to reject Ho because the P-value
is
greater than a.
greater than or equal to
(d) Interpret the decision in the context of the original claim.
There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is
equal to
11.6 minutes.
(Type integers or decimals. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabaf6faf-4671-47fb-aab4-af5f4aa08569%2F53e2b69f-024c-433a-a292-8690a56090cb%2Fs1f8ayb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation
of 2.3 minutes. At a= 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
.....
The claim is the
null
hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
less than or equal to
t= 2.06
(Round to two decimal places as needed.)
not equal to
Obtain the P-value.
less than
P= 0.047
(Round to three decimal places as needed.)
greater than
>
(c) Decide whether to reject or fail to reject the null hypothesis.
equal to
Fail to reject Ho because the P-value
is
greater than a.
greater than or equal to
(d) Interpret the decision in the context of the original claim.
There is not enough evidence at the 1% level of significance to support the claim that the mean dive duration of a North Atlantic right whale is
equal to
11.6 minutes.
(Type integers or decimals. Do not round.)
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