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?

The z test are used to compare the mean significance between the sample and population. It follows…

Answered: Short-term memory, the capacity to hold…

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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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?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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