Answered: In this problem, assume that the…

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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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Suppose that at five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below.

Wilderness District	1	2	3	4	5
January	123	139	120	64	78
April	114	103	106	88	61

Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. Solve the problem using the critical region method of testing. (Let d = January − April. Round your answers to three decimal places.)

test statistic	=
critical value	=

Interpret your conclusion in the context of the application.

(A) Fail to reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.

(B) Fail to reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.

(C)Reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.

(D)Reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.

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