A nutritionist wants to determine if a new diet plan leads to weight loss. The weights in kilograms of six participants before and after following the diet for a month are as follows.At the 0.050.05 significance level, test the claim that the mean weight after the diet is less than before. Assume the paired differences are approximately normally distributed.

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1. Introduction to Statistics(0)

Intro to Stats
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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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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 & 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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Multiple Comparisons: Bonferoni Test
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Two-Way ANOVA
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10. Hypothesis Testing for Two Samples

Two Means - Matched Pairs (Dependent Samples)

10. Hypothesis Testing for Two Samples

Two Means - Matched Pairs (Dependent Samples): Videos & Practice Problems

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Problem 25Multiple Choice

A nutritionist wants to determine if a new diet plan leads to weight loss. The weights in kilograms of six participants before and after following the diet for a month are as follows.

At the $0.05$ significance level, test the claim that the mean weight after the diet is less than before. Assume the paired differences are approximately normally distributed.

There is insufficient evidence to support the claim that the mean weight after the diet is less than before.

There is sufficient evidence to support the claim that the mean weight after the diet is less than before.

There is insufficient evidence to warrant rejection of the claim that the mean weights before and after the diet are equal.

There is sufficient evidence to warrant rejection of the claim that the mean weights before and after the diet are equal.

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