Short-term memory, the capacity to hold bits of information active in one's mind, is normally distributed with a population mean (?) of 7 and a population standard deviation (?) of 2. In the survey I sent to the class, I had students complete a digit-span task, a widely used assessment of short-term memory that measures how many numbers a person can accurately recall at one time. Below are a selection of 7 digit span scores, randomly sampled from the students who completed the survey. Did the average short-term memory capacity in our class differ from the population average? Participants:1,2,3,4,5,6,7, score:6,9,10,6,9,8,7  What kind of analysis will you use? Why?   State the null and alternative hypotheses.   Sketch a distribution and shade the rejection region(s), including the corresponding critical value(s).   Calculate your test statistic and interpret the results of your test.    What do you conclude about the null hypothesis? Are there significant differences?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. Short-term memory, the capacity to hold bits of information active in one's mind, is normally distributed with a population mean (?) of 7 and a population standard deviation (?) of 2. In the survey I sent to the class, I had students complete a digit-span task, a widely used assessment of short-term memory that measures how many numbers a person can accurately recall at one time. Below are a selection of 7 digit span scores, randomly sampled from the students who completed the survey. Did the average short-term memory capacity in our class differ from the population average?

Participants:1,2,3,4,5,6,7, score:6,9,10,6,9,8,7  What kind of analysis will you use? Why?

 

State the null and alternative hypotheses.

 

Sketch a distribution and shade the rejection region(s), including the corresponding critical value(s).

 

Calculate your test statistic and interpret the results of your test.

 

 What do you conclude about the null hypothesis? Are there significant differences?

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