Answered: Reject H0. We have convincing evidence…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 4CA

See similar textbooks

Related questions

Question

Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. A paper reported the accompanying data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of the population of adult Americans.

Subject:	1	2	3	4	5	6	7	8	9	10	11	12	13	14
CL:	57.5	35.7	54.5	56.8	51.1	70.8	77.3	51.6	54.7	63.6	59.2	59.2	55.8	38.4
CO:	44.4	52.1	60.2	52.7	47.2	65.6	71.4	48.8	53.1	66.3	59.8	47.5	64.5	34.8

Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance level of 0.01. (Use ?_CL − ?_CO.)

Find the test statistic. (Round your answer to two decimal places.)

t =

Find the df.

df =

Use technology to find the P-value. (Round your answer to four decimal places.)

P-value =

State your conclusion.

Fail to reject H₀. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.

Reject H₀. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.

Fail to reject H₀. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.

Reject H₀. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction

Expert Solution