Explanation Calculation: A histogram is given. The mean of the data set of the histogram is 50 and the standard deviation is 8. Empirical Rule: If a population with mean μ and standard deviation σ has an approximately bell-shaped histogram, Approximately 68% of the observations lie between μ − σ and μ + σ

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Chapter 3.2, Problem 5CYU

To determine

Check whether empirical rule can be used in the data or not.

Find the approximation if the rule is applicable otherwise explain the reason.

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Chapter 3.2, Problem 4CYU

Chapter 3.2, Problem 6CYU

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Consider the following data and corresponding weights. xi Weight(wi) 3.2 6 2.0 3 2.5 2 5.0 8 a. Compute the weighted mean (to 2 decimals). b. Compute the sample mean of the four data values without weighting. Note the difference in the results provided by the two computations (to 3 decimals).

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Chapter 3 Solutions

Essential Statistics

Ch. 3.1 - 1. Compute the mean and median of the following...Ch. 3.1 - 2. Compute the mean and median of the following...Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - 5. A data set has a mean of 5 and a median of 7....Ch. 3.1 - Prob. 6CYU Ch. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...Ch. 3.1 - In Exercises 7–10, fill in each blank with the...

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - 18. Find the mean, median, and mode for the...Ch. 3.1 - Prob. 19E Ch. 3.1 - In Exercises 19–22, use the given frequency...Ch. 3.1 - Prob. 21E Ch. 3.1 - In Exercises 19–22, use the given frequency...Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - 30. Mean and median height: The National Center...Ch. 3.1 - 31. Hamburgers: An ABC News story reported the...Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - 36. Beer: The following table presents the number...Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - 39. Heavy football players: Following are the...Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - 42. News flash: The following table presents the...Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - 52. Sources of news: A sample of 32 U.S. adults...Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - Prob. 61E Ch. 3.1 - Prob. 62E Ch. 3.1 - Prob. 63E Ch. 3.1 - Prob. 64E Ch. 3.1 - Prob. 65E Ch. 3.1 - Prob. 66E Ch. 3.1 - Prob. 67E Ch. 3.1 - Prob. 68E Ch. 3.1 - Prob. 69E Ch. 3.1 - Prob. 70E Ch. 3.1 - Prob. 71E Ch. 3.1 - Prob. 72E Ch. 3.1 - Prob. 73E Ch. 3.1 - Prob. 74E Ch. 3.2 - 1. Compute the population variance for the St....Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 9E Ch. 3.2 - In Exercises 9–12, fill in each blank with the...Ch. 3.2 - Prob. 11E Ch. 3.2 - In Exercises 9–12, fill in each blank with the...Ch. 3.2 - Prob. 13E Ch. 3.2 - In Exercises 13–16, determine whether the...Ch. 3.2 - Prob. 15E Ch. 3.2 - Prob. 16E Ch. 3.2 - Prob. 17E Ch. 3.2 - 18. Find the sample variance and standard...Ch. 3.2 - Prob. 19E Ch. 3.2 - Prob. 20E Ch. 3.2 - Prob. 21E Ch. 3.2 - Prob. 22E Ch. 3.2 - 23. Approximate the sample variance and standard...Ch. 3.2 - 24. Approximate the sample variance and standard...Ch. 3.2 - Prob. 25E Ch. 3.2 - Prob. 26E Ch. 3.2 - Prob. 27E Ch. 3.2 - Prob. 28E Ch. 3.2 - Prob. 29E Ch. 3.2 - Prob. 30E Ch. 3.2 - Prob. 31E Ch. 3.2 - Prob. 32E Ch. 3.2 - 33. Heavy football players: Following are the...Ch. 3.2 - 34. Beer: The following table presents the number...Ch. 3.2 - Prob. 35E Ch. 3.2 - Prob. 36E Ch. 3.2 - Prob. 37E Ch. 3.2 - Prob. 38E Ch. 3.2 - Prob. 39E Ch. 3.2 - Prob. 40E Ch. 3.2 - Prob. 41E Ch. 3.2 - 42. Pay your bills: In a large sample of customer...Ch. 3.2 - Prob. 43E Ch. 3.2 - Prob. 44E Ch. 3.2 - Prob. 45E Ch. 3.2 - 46. Pay your bills: For the data in Exercise 42,...Ch. 3.2 - Prob. 47E Ch. 3.2 - 48. Internet providers: For the data in Exercise...Ch. 3.2 - Prob. 49E Ch. 3.2 - Prob. 50E Ch. 3.2 - Prob. 51E Ch. 3.2 - Prob. 52E Ch. 3.2 - Prob. 53E Ch. 3.2 - Prob. 54E Ch. 3.2 - Prob. 55E Ch. 3.2 - Prob. 56E Ch. 3.2 - Prob. 57E Ch. 3.2 - Prob. 58E Ch. 3.2 - Prob. 59E Ch. 3.2 - Prob. 60E Ch. 3.2 - Prob. 61E Ch. 3.2 - Prob. 62E Ch. 3.2 - Prob. 63E Ch. 3.3 - Following are final exam scores, arranged in...Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5E Ch. 3.3 - In Exercises 5–8, fill in each blank with the...Ch. 3.3 - Prob. 7E Ch. 3.3 - In Exercises 5–8, fill in each blank with the...Ch. 3.3 - Prob. 9E Ch. 3.3 - In Exercises 9–12, determine whether the statement...Ch. 3.3 - Prob. 11E Ch. 3.3 - Prob. 12E Ch. 3.3 - A population has mean μ = 7 and standard deviation...Ch. 3.3 - Prob. 14E Ch. 3.3 - Prob. 15E Ch. 3.3 - Prob. 16E Ch. 3.3 - Prob. 17E Ch. 3.3 - Prob. 18E Ch. 3.3 - Prob. 19E Ch. 3.3 - For the data set a. Find the 80th percentile. b....Ch. 3.3 - Standardized tests: In a recent year, the mean...Ch. 3.3 - A fish story: The mean length of one-year-old...Ch. 3.3 - Prob. 23E Ch. 3.3 - Blood pressure in women: The article referred to...Ch. 3.3 - Hazardous waste: Following is a list of the number...Ch. 3.3 - Cholesterol levels: The National Health and...Ch. 3.3 - Commuting to work: Jamie drives to work every...Ch. 3.3 - Windy city by the bay: Following are wind speeds...Ch. 3.3 - Caffeine: Following are the number of grams of...Ch. 3.3 - Nuclear power: The following table presents the...Ch. 3.3 - Place your bets: Recently, 28 states in the U.S....Ch. 3.3 - Hail to the chief: There have been 57 presidential...Ch. 3.3 - Prob. 33E Ch. 3.3 - Prob. 34E Ch. 3.3 - Prob. 35E Ch. 3.3 - Automotive emissions: Following are levels of...Ch. 3.3 - Prob. 37E Ch. 3.3 - Prob. 38E Ch. 3.3 - Prob. 39E Ch. 3.3 - Boxplot possible? Following is the five-number...Ch. 3.3 - Unusual boxplot: Ten residents of a town were...Ch. 3.3 - Prob. 42E Ch. 3.3 - The vanishing outlier: Seven families live on a...Ch. 3.3 - Prob. 44E Ch. 3.3 - Prob. 45E Ch. 3 - Of the mean, median, and mode, which must be a...Ch. 3 - Prob. 2CQ Ch. 3 - Prob. 3CQ Ch. 3 - Prob. 4CQ Ch. 3 - Prob. 5CQ Ch. 3 - Prob. 6CQ Ch. 3 - Each of the following histograms represents a data...Ch. 3 - Prob. 8CQ Ch. 3 - Prob. 9CQ Ch. 3 - Prob. 10CQ Ch. 3 - Prob. 11CQ Ch. 3 - Prob. 12CQ Ch. 3 - Prob. 13CQ Ch. 3 - Prob. 14CQ Ch. 3 - Prob. 15CQ Ch. 3 - Prob. 1RE Ch. 3 - Prob. 2RE Ch. 3 - Prob. 3RE Ch. 3 - Prob. 4RE Ch. 3 - Prob. 5RE Ch. 3 - Prob. 6RE Ch. 3 - Measure that ball: Each of 16 students measured...Ch. 3 - Prob. 8RE Ch. 3 - Prob. 9RE Ch. 3 - How long can you talk? A manufacturer of cell...Ch. 3 - Prob. 11RE Ch. 3 - Advertising costs: The amounts spent (in billions)...Ch. 3 - Prob. 13RE Ch. 3 - Prob. 14RE Ch. 3 - Prob. 15RE Ch. 3 - Prob. 1WAI Ch. 3 - Explain why the Empirical Rule is more useful than...Ch. 3 - Prob. 3WAI Ch. 3 - Prob. 4WAI Ch. 3 - Prob. 5WAI Ch. 3 - Prob. 1CS Ch. 3 - Prob. 2CS Ch. 3 - Prob. 3CS Ch. 3 - Prob. 4CS Ch. 3 - Prob. 5CS Ch. 3 - Prob. 6CS Ch. 3 - Prob. 7CS Ch. 3 - Prob. 8CS Ch. 3 - Prob. 9CS

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Check whether empirical rule can be used in the data or not. Find the approximation if the rule is applicable otherwise explain the reason.