Based on the diagram below, create a flowchart when z-test for a mean is appropriate or applicable One MeanConfidence - 7Two Paired MeansConfidence - 9QuantitativeA quantitative orcategorical value?One valueOne value or the differencebetween two valuesEstimatea ValueDo you want to estimate a value,test a hypothesis, orexamine a relationship?Examine aRelationshipOne ProportionConfidence Interval - 7CategoricalPaired IndependentIndependent orPaired Samples?Quantitative CategoricalTwo quantitative orcategorical values?Difference betweentwo valuesQuantitative orCategorical variables?Test aHypothesisTwo Independent MeansConfidence Interval - 9Two IndependentProportionsConfidence - 9One SampleMean Test - 8OneOne, two or moresamples?QuantitativeQuantitative orCategoricalresponse variable?QuantitativeCategoricalTwoPaired SamplesMean Test - 9PairedIndependent or IndependentPaired Sample?One-way Analysisof Variance - 10More thantwoOne SampleProportion Test - 8Two IndependentProportions Test - 9OneTwoSimple LinearRegression - 12Correlation(r) - 12CategoricalMake a prediction orexamine the strength anddirection of the relationship?Chi-Square Testof Independence - 11Two IndependentMeans Test - 9One or Twosamples?-PredictionStrength andDirection

Z-test for a mean: This test is applicable when the population is normally distributed. It is used…

Answered: Based on the diagram below, create a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 14PPS

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Question

Based on the diagram below, create a flowchart when z-test for a mean is appropriate or applicable

One Mean
Confidence - 7
Two Paired Means
Confidence - 9
Quantitative
A quantitative or
categorical value?
One value
One value or the difference
between two values
Estimate
a Value
Do you want to estimate a value,
test a hypothesis, or
examine a relationship?
Examine a
Relationship
One Proportion
Confidence Interval - 7
Categorical
Paired Independent
Independent or
Paired Samples?
Quantitative Categorical
Two quantitative or
categorical values?
Difference between
two values
Quantitative or
Categorical variables?
Test a
Hypothesis
Two Independent Means
Confidence Interval - 9
Two Independent
Proportions
Confidence - 9
One Sample
Mean Test - 8
One
One, two or more
samples?
Quantitative
Quantitative or
Categorical
response variable?
Quantitative
Categorical
Two
Paired Samples
Mean Test - 9
Paired
Independent or Independent
Paired Sample?
One-way Analysis
of Variance - 10
More than
two
One Sample
Proportion Test - 8
Two Independent
Proportions Test - 9
One
Two
Simple Linear
Regression - 12
Correlation
(r) - 12
Categorical
Make a prediction or
examine the strength and
direction of the relationship?
Chi-Square Test
of Independence - 11
Two Independent
Means Test - 9
One or Two
samples?
-Prediction
Strength and
Direction

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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