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. Ho: = 11.6 Ha: * 11.6 (Type integers or decimals. Do not round.) 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.

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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.
Ho:
11.6
На
11.6
(Type integers or decimals. Do not round.)
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 H, because the P-value
is
greater than a.
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. Ho: 11.6 На 11.6 (Type integers or decimals. Do not round.) 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 H, because the P-value is greater than a.
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