A researcher collected data on the daily water intake (in liters) of a simple random sample of 4040 adults. The sample mean is 2.452212.45221 liters, and the sample standard deviation is 0.598310.59831 liters. It is commonly recommended that adults should drink at least 2.52.5 liters of water per day. Assume the population standard deviation is known to be 0.556390.55639 liters. Using the pp-value method, a 0.050.05 significance level, and the population standard deviation, test the claim that the mean daily water intake for adults is less than 2.52.5 liters.

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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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Complements
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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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11. Correlation(0)

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Correlation Coefficient
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12. Regression(0)

Linear Regression & Least Squares Method
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13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
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Independence Tests
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Homogeneity Tests
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14. ANOVA(0)

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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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9. Hypothesis Testing for One Sample

Performing Hypothesis Tests: Means

9. Hypothesis Testing for One Sample

Performing Hypothesis Tests: Means: Videos & Practice Problems

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Problem 42Multiple Choice

A researcher collected data on the daily water intake (in liters) of a simple random sample of $40$ adults. The sample mean is $2.45221$ liters, and the sample standard deviation is $0.59831$ liters. It is commonly recommended that adults should drink at least $2.5$ liters of water per day. Assume the population standard deviation is known to be $0.55639$ liters. Using the $p$ -value method, a $0.05$ significance level, and the population standard deviation, test the claim that the mean daily water intake for adults is less than $2.5$ liters.

There is insufficient evidence to support the claim that the mean daily water intake for adults is less than $2.5$ liters.

There is sufficient evidence to support the claim that the mean daily water intake for adults is less than $2.5$ liters.

There is insufficient evidence to warrant rejection of the claim that the mean daily water intake for adults is $2.5$ liters.

There is sufficient evidence to warrant rejection of the claim that the mean daily water intake for adults is $2.5$ liters.

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