A nutritionist claims that the average daily sodium intake for adults in a certain city is less than 2400 mg2400\text{ mg}. A sample of 2525 adults has a mean sodium intake of 2320 mg2320 \text{ mg} and a standard deviation of 180 mg180 \text{ mg}. At α=0.05 α = 0.05 , can you support the nutritionist's claim? Assume the population is 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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Boxplots
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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 & 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 - Matched Pairs (Dependent Samples)
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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 14Multiple Choice

A nutritionist claims that the average daily sodium intake for adults in a certain city is less than $2400 mg$ . A sample of $25$ adults has a mean sodium intake of $2320 mg$ and a standard deviation of $180 mg$ . At $alpha equals 0.05$ , can you support the nutritionist's claim? Assume the population is normally distributed.

Yes, there is sufficient evidence to support the nutritionist's claim

No, there is insufficient evidence to support the nutritionist's claim

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