An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 32 dive durations has a mean of 12.2 minutes and a standard deviation of 2.2 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. (a) Identify the claim and state Ho and Ha. Ho μ = 11.5 Ha: μ # 11.5 (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= (Round to two decimal places as needed.)

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An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 32 dive durations
has a mean of 12.2 minutes and a standard deviation of 2.2 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.
(a) Identify the claim and state Ho and Ha.
Ho
μ =
11.5
Ha:
μ # 11.5
(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=
(Round to two decimal places as needed.)
Transcribed Image Text:An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 32 dive durations has a mean of 12.2 minutes and a standard deviation of 2.2 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. (a) Identify the claim and state Ho and Ha. Ho μ = 11.5 Ha: μ # 11.5 (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= (Round to two decimal places as needed.)
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