A researcher wants to test the effect of a memory training program. Before the program, a participant could recall 1212 items from a list. After the program, the participant was tested on 1010 different lists, with the following numbers of items recalled: 15,17,16,18,14,19,16,17,15,1815, 17, 16, 18, 14, 19, 16, 17, 15, 18. To estimate the mean post-program recall score, the researcher plans to generate 50005000 independent bootstrap samples of size n=10 n = 10 with replacement. What is the procedure for building the bootstrap distribution of the sample mean?

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1. Intro to Stats and Collecting Data(0)

Intro to Stats
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Levels of Measurement
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Intro to Collecting Data
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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Histograms
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Bar Graphs and Pareto Charts
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Pie Charts
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Frequency Polygons
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Dot Plots
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Stemplots (Stem-and-Leaf Plots)
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Standard Deviation
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Boxplots
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4. Probability(0)

Basic Concepts of Probability
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Addition Rule
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Multiplication Rule: Independent Events
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Introduction to Contingency Tables
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Multiplication Rule: Dependent Events
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Bayes' Theorem
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Fundamental Counting Principle
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Counting
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5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
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Binomial Distribution
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Poisson Distribution
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Hypergeometric Distribution
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6. Normal Distribution and Continuous Random Variables(0)

Uniform Distribution
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Standard Normal Distribution
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Non-Standard Normal Distribution
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7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Confidence Intervals for Population Variance
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9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Proportions
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Link Between Confidence Intervals and Hypothesis Testing
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Type I & Type II Errors
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10. Hypothesis Testing for Two Samples(0)

Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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Two Means - Matched Pairs (Dependent Samples)
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Two Variances and F Distribution
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Goodness of Fit Test
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Contingency Tables
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Independence Tests
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14. ANOVA(0)

Introduction to ANOVA
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Multiple Comparisons: Tukey Test
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Multiple Comparisons: Tukey-Kramer Test
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Multiple Comparisons: Bonferoni Test
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Two-Way ANOVA
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7. Sampling Distributions & Confidence Intervals: Mean

Sampling Distribution of the Sample Mean and Central Limit Theorem

7. Sampling Distributions & Confidence Intervals: Mean

Sampling Distribution of the Sample Mean and Central Limit Theorem: Videos & Practice Problems

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Problem 54Multiple Choice

A researcher wants to test the effect of a memory training program. Before the program, a participant could recall $12$ items from a list. After the program, the participant was tested on $10$ different lists, with the following numbers of items recalled: $15 comma 17 comma 16 comma 18 comma 14 comma 19 comma 16 comma 17 comma 15 comma 18$ . To estimate the mean post-program recall score, the researcher plans to generate $5000$ independent bootstrap samples of size $n equals 10$ with replacement. What is the procedure for building the bootstrap distribution of the sample mean?

Randomly select $10$ recall scores with replacement from the observed data, compute the mean for each sample, and repeat for $5000$ samples.

Randomly select $10$ recall scores without replacement, compute the mean for each sample, and repeat for $5000$ samples.

Randomly select $10$ recall scores with replacement, compute the median for each sample, and repeat for $5000$ samples.

Randomly select $10$ recall scores with replacement, compute the sum for each sample, and repeat for $5000$ samples.

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