Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 46 48 42 50 46 43 50 41 Left 45 46 42 50 46 39 50 37 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance %3D level of significance?

Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 46 48 42 50 46 43 50 41 Left 45 46 42 50 46 39 50 37 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance %3D level of significance?

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Is the average time to complete an obstacle course
longer when a patch is placed over the right eye than
when a patch is placed over the left eye? Thirteen
randomly selected volunteers first completed an
obstacle course with a patch over one eye and then
completed an equally difficult obstacle course with a
patch over the other eye. The completion times are
shown below. "Left" means the patch was placed over
the left eye and "Right" means the patch was placed
over the right eye.
Time to Complete the Course
Right 46 48 42 50 46 43 50 41
Left
45 46 42 50 46 39 50 37
Assume a Normal distribution. What can be
concluded at the the a = 0.05 level of significance
level of significance?

b. The test statistic ( t
|(please
▼
show your answer to 3 decimal places.)
II

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