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 36 dive durations has a mean of 12.2 minutes and a standard deviation of 2.1 minutes. At α=0.10 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

To Do:

1.) Identify the claim and state H0 and Ha. Do not round.

2.) The claim is the ___ hypothesis

3.) Use technology to determine the P-value. First calculate the standardized test statistic for the t-test, rounding to two decimal places.

4.) Decide whether to reject or fail to reject the null hypothesis.

5.) Interpret the decision in the context of the original claim.

6.) If the claim is the null hypothesis and H0 is rejected, then there is enough evidence to reject the claim. If H0 is not rejected, then there is not enough evidence to reject the claim.

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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