Answered: Heights of Volcanoes A sample of…

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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Heights of Volcanoes A sample of heights (in feet) of active volcanoes in North America, outside of Alaska, is listed below. Is there sufficient evidence that the standard deviation in heights of volcanoes outside Alaska is less than the standard deviation in heights of Alaskan volcanoes, which is 2385.9 feet? Use α=0.05 Assume the variable is approximately normally distributed.

(a) State the hypotheses and identify the claim with the correct hypothesis.

(a)State the hypotheses and identify the claim with the correct hypothesis.

:H0: claim/not claim?

:H1: claim/not claim?

This hypothesis test is a one-tailed test/two-tailed test?

(b)Find the critical value(s). Round the answers to three decimal places, if necessary. If there is more than one critical value, separate them with commas.

Critical value(s):

(c)Compute the test value. Round the intermediate calculations to three decimal places and the final answer to three decimal places.

(e)Summarize the results.

There ▼(Choose one) enough evidence/not enough evidence, to support the claim that the standard deviation in heights of volcanoes outside Alaska is less than

2385.9

feet.

=χ2

14,410

14,163

10,541

9,203

11,240

10,456

8,363

8,159

10,495

10,777

11,122

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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