While reading a published research report, the following is reported: “When we examined the critical skills data, the mean of 50.00 from the sample of 200 adolescents differed significantly from the population mean of 53.5, [t(199) = 3.54, p<.05].” For letters a-h, identify all that’s given. Indicate "not known" or “not given” where applicable. a. μ-b. o =C. X bar =d. sx=e. N =f. α -g. tobt =h. tcrit =i. Does the sample of adolescents differsignificantly from the population mean?Support your answer.j. Is there a significant difference betweenthe two means at a of .01? Explain youranswer 3. While reading a published researchreport, the following is reported:"When we examined the critical skillsdata, the mean of 50.00 from thesample of 200 adolescents differedsignificantly from the populationmean of 53.5, [t(199) = 3.54, p<.05]."For letters a-h, identify all that'sgiven. Indicate "not known" or "not given"where applicable.

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Answered: While reading a published research…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

While reading a published research report, the following is reported: “When we examined the critical skills data, the mean of 50.00 from the sample of 200 adolescents differed significantly from the population mean of 53.5, [t(199) = 3.54, p<.05].”

For letters a-h, identify all that’s given. Indicate "not known" or “not given” where applicable.

a. μ-
b. o =
C. X bar =
d. sx=
e. N =
f. α -
g. tobt =
h. tcrit =
i. Does the sample of adolescents differ
significantly from the population mean?
Support your answer.
j. Is there a significant difference between
the two means at a of .01? Explain your
answer

3. While reading a published research
report, the following is reported:
"When we examined the critical skills
data, the mean of 50.00 from the
sample of 200 adolescents differed
significantly from the population
mean of 53.5, [t(199) = 3.54, p<.05]."
For letters a-h, identify all that's
given. Indicate "not known" or "not given"
where applicable.

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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