An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 33 dive durations has a mean of 12.4 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 H₂ Ho ▼ H₂: ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.) Obtain the P-value. P=0 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis.

MATLAB: An Introduction with Applications
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An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 33 dive durations has a mean of 12.4 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
H₂: ▼
Ha
▼ ▼
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
(Round to two decimal places as needed.)
Obtain the P-value.
P=0
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Transcribed Image Text:An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 33 dive durations has a mean of 12.4 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 H₂: ▼ Ha ▼ ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.) Obtain the P-value. P=0 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis.
(c) Decide whether to reject or fail to reject the null hypothesis.
Ho because the P-value
greater than a.
(d) Interpret the decision in the context of the original claim.
There
enough evidence at the
level of significance to
(Type integers or decimals. Do not round.)
▼the claim that the mean dive duration of a North Atlantic right whale is
minutes.
Transcribed Image Text:(c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value greater than a. (d) Interpret the decision in the context of the original claim. There enough evidence at the level of significance to (Type integers or decimals. Do not round.) ▼the claim that the mean dive duration of a North Atlantic right whale is minutes.
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