1. Calculate the standard error. 2. Find the critical value for the test statistic, assuming alpha = .05a)1.96b)2.262c) 2.228d) 2.0643. Find the obtained (i.e., computed) test statistic for a sample (n=10) with a mean of 6.7 Participant12345678910Estimated Length ofLine B (inches)5.58.2755.56.97.485.5M = 6.7(x-M) 21.44S1.692.250.092.891.440.040.491.691.44SS = 13.412 = 1.49s = 1.22 Soloman Asch conducted a series of highly influential studies in the 1950's onconformity. In a typical study, subjects are shown a card with the figure below, and toldthat the length of line “X” is exactly 6 inches. It is known that in the population, themean estimated length of line "B" is µ = 6 inches, when individuals are asked toestimate the length of line "B" when they are alone.|||XABCTo study conformity, subjects in the experiment join a group with 4 otherindividuals, all of whom are confederates (i.e. they are actors who are part of theexperiment). The group is told that line "X" is exactly 6 inches. Each confederate isthen asked, one at a time, to estimate the length of line "B", and after each of themagrees that line “B” is 7 inches in length, the subject is asked to estimate the lengthof line "B". A sample of 10 subjects participate, and in this sample, the estimatedlength that each participant reports is shown in the table below. Complete all 4 stepsof hypothesis testing to decide if there is a significant difference in estimates of thelength of line "B" among people who are asked while they are alone, compared towhen they are in a group.

Given that Sample size (n)=10 Sample mean (x- )=6.7 Sample standard deviation (s)=1.22 We have to…

Answered: . Calculate the standard error. 2.…

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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Related questions

Question

1. Calculate the standard error.

2. Find the critical value for the test statistic, assuming alpha = .05

a)1.96

b)2.262

c) 2.228

d) 2.064

3. Find the obtained (i.e., computed) test statistic for a sample (n=10) with a mean of 6.7

Participant
1
2
3
4
5
6
7
8
9
10
Estimated Length of
Line B (inches)
5.5
8.2
7
5
5.5
6.9
7.4
8
5.5
M = 6.7
(x-M) 2
1.44
S
1.69
2.25
0.09
2.89
1.44
0.04
0.49
1.69
1.44
SS = 13.41
2 = 1.49
s = 1.22

Soloman Asch conducted a series of highly influential studies in the 1950's on
conformity. In a typical study, subjects are shown a card with the figure below, and told
that the length of line “X” is exactly 6 inches. It is known that in the population, the
mean estimated length of line "B" is µ = 6 inches, when individuals are asked to
estimate the length of line "B" when they are alone.
|||
X
ABC
To study conformity, subjects in the experiment join a group with 4 other
individuals, all of whom are confederates (i.e. they are actors who are part of the
experiment). The group is told that line "X" is exactly 6 inches. Each confederate is
then asked, one at a time, to estimate the length of line "B", and after each of them
agrees that line “B” is 7 inches in length, the subject is asked to estimate the length
of line "B". A sample of 10 subjects participate, and in this sample, the estimated
length that each participant reports is shown in the table below. Complete all 4 steps
of hypothesis testing to decide if there is a significant difference in estimates of the
length of line "B" among people who are asked while they are alone, compared to
when they are in a group.

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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