Table of contents

1. Introduction to Statistics53m
2. Describing Data with Tables and Graphs2h 1m
3. Describing Data Numerically1h 48m
4. Probability2h 26m
5. Binomial Distribution & Discrete Random Variables2h 55m
6. Normal Distribution & Continuous Random Variables1h 48m
7. Sampling Distributions & Confidence Intervals: Mean2h 8m
8. Sampling Distributions & Confidence Intervals: Proportion1h 20m
- Sampling Distribution of Sample Proportion
  35m
- Confidence Intervals for Population Proportion
  45m
9. Hypothesis Testing for One Sample2h 23m
10. Hypothesis Testing for Two Samples3h 25m
11. Correlation1h 6m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 30m
14. ANOVA1h 4m

3. Describing Data Numerically

Interpreting Standard Deviation

Statistics for Business

3. Describing Data Numerically

Interpreting Standard Deviation

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Multiple Choice

The average birth weight at a hospital is 6.5lbs. with a standard deviation of 1.4lbs. What is the lowest weight which would be considered significantly high?

$2.8$

$1.4$

$9.3$

$3.7$

$6.5$

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Verified step by step guidance

Step 1: Understand the concept of 'significantly high'. In statistics, a value is considered significantly high if it is more than 2 standard deviations above the mean. This is based on the empirical rule, which states that approximately 95% of data falls within 2 standard deviations of the mean in a normal distribution.

Step 2: Identify the given values from the problem. The mean (μ) is 6.5 lbs, and the standard deviation (σ) is 1.4 lbs.

Step 3: Use the formula to calculate the threshold for significantly high values: μ + 2σ. This formula adds 2 standard deviations to the mean to determine the lowest value that would be considered significantly high.

Step 4: Substitute the given values into the formula. Replace μ with 6.5 and σ with 1.4, resulting in the expression: 6.5 + 2(1.4).

Step 5: Simplify the expression to find the threshold. This will give you the lowest weight that is considered significantly high. Note: Do not calculate the final value as per the instructions.

7:51m

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Related Practice

Multiple Choice

A sample of 500 random adult books in a library has an average of 312 pages with a standard deviation of 26 pages. According to the Empirical Rule of Standard Deviation, find the central range of page lengths containing 95% of the books in the sample.

Multiple Choice

A sample of 500 random adult books in a library has an average of 312 pages with a standard deviation of 26 pages. Find the percentage of books in the sample with less than 338 pages using the Empirical Rule of Standard Deviation.

Multiple Choice

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