A company tests a productivity tool on 99 employees by recording their productivity (in tasks/hour) before and after using the tool. Using the sign test, they obtain a test statistic of 11 based on 99 non-zero differences. At the 0.050.05 significance level, the critical value is 22. Should the company reject the null hypothesis? What can be concluded about the tool’s effectiveness?

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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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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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Multiplication Rule: Dependent Events
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Bayes' Theorem
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Counting
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Hypergeometric Distribution
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Uniform 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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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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Goodness of Fit 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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9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing

9. Hypothesis Testing for One Sample

Steps in Hypothesis Testing: Videos & Practice Problems

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Problem 139Multiple Choice

A company tests a productivity tool on $9$ employees by recording their productivity (in tasks/hour) before and after using the tool. Using the sign test, they obtain a test statistic of $1$ based on $9$ non-zero differences. At the $0.05$ significance level, the critical value is $2$ . Should the company reject the null hypothesis? What can be concluded about the tool’s effectiveness?

Reject the null hypothesis; there is significant evidence that the tool improves productivity.

Do not reject the null hypothesis; the tool significantly improves productivity.

Reject the null hypothesis; the tool significantly reduces productivity.

Do not reject the null hypothesis; there is insufficient evidence that the tool affects productivity.

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