An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 33 dive durations has a mean of 12 1 minutes and a standard deviation of 2.2 minutes At a= 0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha 113 (Type integers or decimals Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t t=2.09 (Round to two decimal places as needed.). Obtain the P-value P=0.045 (Round to three decimal places as needed) (c) Decide whether to reject or fail to reject the null hypothesis. Reject Ho because the P-value is not greater than a (d) Interpret the decision in the context of the original claim There is not 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 0,0 Moto minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 33 dive durations has a mean of 12.1 minutes and a standard deviation of 2.2 minutes. At
a=0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed
Ha
F
11.3
(Type integers or decimals. Do not round.)
The claim is the alternative hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
t=2.09
(Round to two decimal places as needed)
Obtain the P-value.
P = 0.045
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Reject Ho because the P-value is not greater than a
(d) Interpret the decision in the context of the original claim.
There is not enough evidence at the level of significance to
(Type integers or decimals. Do not round.)
Pozr
1354
Mar
+442205
the claim that the mean dive duration of a North Atlantic right whale is
1
More
minutes.
X
Transcribed Image Text:An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 33 dive durations has a mean of 12.1 minutes and a standard deviation of 2.2 minutes. At a=0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha F 11.3 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=2.09 (Round to two decimal places as needed) Obtain the P-value. P = 0.045 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Reject Ho because the P-value is not greater than a (d) Interpret the decision in the context of the original claim. There is not enough evidence at the level of significance to (Type integers or decimals. Do not round.) Pozr 1354 Mar +442205 the claim that the mean dive duration of a North Atlantic right whale is 1 More minutes. X
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