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AP Statistics The F Distribution and One-Way ANOVA — practice questions

Explore 23 free The F Distribution and One-Way ANOVA questions in AP Statistics Statistics. Open each question or exercise to read its content, reference answers and available explanation.

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The F Distribution and One-Way ANOVA questions and exercises with answers

Showing questions 1–23 of 23.

One-way ANOVA is used to measure information from:Read the answer and worked solution →Which two uses of the F distribution are named?Read the answer and worked solution →The null hypothesis in one-way ANOVA states that all the group population means are:Read the answer and worked solution →The alternative hypothesis in one-way ANOVA states that:Read the answer and worked solution →How many basic assumptions must be fulfilled to perform a one-way ANOVA test?Read the answer and worked solution →Each population from which an ANOVA sample is taken is assumed to be:Read the answer and worked solution →Besides normality, ANOVA assumes the populations have equal:Read the answer and worked solution →How many estimates of the variance are made in order to calculate the F ratio?Read the answer and worked solution →The variance between samples is described as the variance of the sample means multiplied by:Read the answer and worked solution →The variance within samples is described as the average of the:Read the answer and worked solution →The average of the sample variances used in ANOVA is also known as a:Read the answer and worked solution →In the ANOVA table, MS stands for:Read the answer and worked solution →Finding a sum of squares means adding together quantities that are:Read the answer and worked solution →An F statistic much larger than one provides evidence that is:Read the answer and worked solution →A one-way ANOVA test is always which kind of test?Read the answer and worked solution →Because ANOVA is right-tailed, a high F statistic corresponds to a p-value that is:Read the answer and worked solution →The F distribution requires how many sets of degrees of freedom?Read the answer and worked solution →If the between-groups and within-groups variance estimates are close, F will be near one and the null hypothesis is:Read the answer and worked solution →Match each ANOVA termRead the answer and worked solution →True or false: ANOVARead the answer and worked solution →Tap the ANOVA assumptionsRead the answer and worked solution →Stop on the right ANOVA ideaRead the answer and worked solution →Complete the ANOVA logicRead the answer and worked solution →

Worked practice questions

One-way ANOVA is used to measure information from:

  1. Several groups
  2. One single value
  3. Two paired points
  4. No groups at all
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Correct answer: A. Several groups

1. ANOVA compares more than two samples at once. 2. One-way ANOVA is used to measure information from several groups. 3. It rests on the F distribution. 4. A two-sample test would not handle several groups together. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 13 'The F Distribution and One-Way ANOVA', sections 13.1-13.4_

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Which two uses of the F distribution are named?

  1. Sampling and surveying
  2. ANOVA and two variances
  3. Regression and residuals
  4. Ranking and correlation
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Correct answer: B. ANOVA and two variances

1. The F distribution serves more than one test. 2. Two uses for the F distribution are discussed. 3. One is one-way ANOVA. 4. The other is the test of two variances. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 13 'The F Distribution and One-Way ANOVA', sections 13.1-13.4_

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The null hypothesis in one-way ANOVA states that all the group population means are:

  1. All the same
  2. All different
  3. Exactly zero
  4. Fully paired
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Correct answer: A. All the same

1. ANOVA tests a claim about several means at once. 2. The null hypothesis is simply that all the group population means are the same. 3. The alternative hypothesis is that at least one pair of means is different. 4. Rejecting the null means at least one group stands apart. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 13 'The F Distribution and One-Way ANOVA', sections 13.1-13.4_

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Sampling and DataContinuous Random VariablesDescriptive StatisticsHypothesis TestingLinear Regression and CorrelationThe Normal DistributionProbability TopicsThe Chi-Square Distribution