Answered: An oceanographer claims that the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

An oceanographer claims that the mean dive duration of a North Atlantic right whale is

11.4

minutes. A random sample of

dive durations has a mean of

12.3

minutes and a standard deviation of

2.1

minutes. At

α=0.05

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

and

Ha.

H0:	▼ muμ sigmaσ sigma squaredσ2 pp ▼ not equals≠ greater than or equals≥ less than< greater than> equals= less than or equals≤ enter your response here
Ha:	▼ sigmaσ sigma squaredσ2 pp muμ ▼ equals= greater than or equals≥ not equals≠ less than or equals≤ greater than> less than< enter your response here

(Type integers or decimals. Do not round.)

The claim is the

▼

null

alternative

hypothesis.

(b) Use technology to find the P-value. Find the standardized test statistic, t.

t=enter your response here

(Round to two decimal places as needed.)

Obtain the P-value.

P=enter your response here

(Round to three decimal places as needed.)

▼

Fail to reject

Reject

because the P-value

▼

is not

greater than

α.

(d) Interpret the decision in the context of the original claim.

There

▼

is not

enough evidence at the

enter your response here%

level of significance to

▼

rejectreject

supportsupport

the claim that the mean dive duration of a North Atlantic right whale is

▼

greater than or equal to

not equal to

less than or equal to

equal to

less than

greater than

enter your response here

minutes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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