A biologist records the weights of 6464 different sample means, each from a sample of 2525 fish. The standard deviation of the original fish weights is 5.55.5 grams. If the standard deviation of the sample means is calculated to be 1.11.1 grams, does this match the Central Limit Theorem prediction? What is the standard deviation predicted by the theorem?

Yes, it matches; the predicted standard deviation is 1.11.1 grams

Yes, it matches; the predicted standard deviation is 5.55.5 grams

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1. Intro to Stats and Collecting Data(0)

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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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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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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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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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11. Correlation(0)

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Goodness of Fit Test
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Multiple Comparisons: Tukey Test
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Multiple Comparisons: Tukey-Kramer Test
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Two-Way ANOVA
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7. Sampling Distributions & Confidence Intervals: Mean

Confidence Intervals for Population Mean

7. Sampling Distributions & Confidence Intervals: Mean

Confidence Intervals for Population Mean: Videos & Practice Problems

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Problem 59Multiple Choice

A biologist records the weights of $64$ different sample means, each from a sample of $25$ fish. The standard deviation of the original fish weights is $5.5$ grams. If the standard deviation of the sample means is calculated to be $1.1$ grams, does this match the Central Limit Theorem prediction? What is the standard deviation predicted by the theorem?

Yes, it matches; the predicted standard deviation is $1.1$ grams

No, it does not match; the predicted standard deviation is $0.88$ grams

Yes, it matches; the predicted standard deviation is $5.5$ grams

No, it does not match; the predicted standard deviation is $1.5$ grams

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