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ISBN: 9780077836351

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Publisher: McGraw Hill

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Chapter 8.2, Problem 41E

Don’t construct a confidence interval: There have been 44 presidents of the United States. Their mean height is 70.8 inches, with a standard deviation of 2.7 inches. Explain why these data should not be used to construct a confidence interval for the mean height of the presidents.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 8.2, Problem 40E

Chapter 8.2, Problem 42E

Chapter 8 Solutions

Elementary Statistics (Text Only)

Ch. 8.1 - In Exercises 25-28, find the critical value z/2...Ch. 8.1 - Prob. 28E Ch. 8.1 - In Exercises 29-32, find the levels of the...Ch. 8.1 - In Exercises 29-32, find the levels of the...Ch. 8.1 - In Exercises 29-32, find the levels of the...Ch. 8.1 - In Exercises 29-32, find the levels of the...Ch. 8.1 - A sample of size n=49 is drawn from a population...Ch. 8.1 - Prob. 34E Ch. 8.1 - A sample of size n=32 is drawn from a population...Ch. 8.1 - A sample of size n=64 is drawn from a population...Ch. 8.1 - A sample of sue n=10 is drawn from a normal...Ch. 8.1 - Prob. 38E Ch. 8.1 - A population has standard deviation 21.3. How...Ch. 8.1 - Prob. 40E Ch. 8.1 - A population has standard deviation =12.7 How...Ch. 8.1 - Prob. 42E Ch. 8.1 - SAT scores: A college admissions officer takes a...Ch. 8.1 - Prob. 44E Ch. 8.1 - Babies: According to the National Health...Ch. 8.1 - Watch your cholesterol: A sample of 314 patients...Ch. 8.1 - How smart is your phone? A random sample of 11...Ch. 8.1 - Stock prices: The Standard and Poors (S=50....Ch. 8.1 - High energy: A random sample of energy drinks had...Ch. 8.1 - Lets shake on it: A random sample of 12-ounce...Ch. 8.1 - Lifetime of electronics: In a simple random sample...Ch. 8.1 - Efficient manufacturing: Efficiency experts study...Ch. 8.1 - Prob. 53E Ch. 8.1 - Prob. 54E Ch. 8.1 - Prob. 55E Ch. 8.1 - Prob. 56E Ch. 8.1 - Prob. 57E Ch. 8.1 - Prob. 58E Ch. 8.1 - Prob. 59E Ch. 8.1 - Dont construct a confidence interval: A college...Ch. 8.1 - Prob. 61E Ch. 8.1 - Prob. 62E Ch. 8.1 - Prob. 63E Ch. 8.1 - Prob. 64E Ch. 8.1 - Prob. 65E Ch. 8.1 - Prob. 66E Ch. 8.1 - Prob. 67E Ch. 8.1 - Prob. 68E Ch. 8.2 - In Exercises 7 and 8, fill in each blank with the...Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Find the critical value t/2 needed to construct a...Ch. 8.2 - Find the critical value t/2 needed to construct a...Ch. 8.2 - A sample of size n=22 is drawn from a normal...Ch. 8.2 - A sample of size n=12 is drawn from a normal...Ch. 8.2 - A sample of size n=12 is drawn. Find the critical...Ch. 8.2 - A sample of size n=15 has sample mean x=2.1 and...Ch. 8.2 - A sample of size n=44 has sample mean x=56.9 and...Ch. 8.2 - A sample of size n=89 has sample mean x=87.2 and...Ch. 8.2 - A sample of size n=35 has sample mean x=34.85 and...Ch. 8.2 - Online courses: A sample of 263 students who were...Ch. 8.2 - Get an education: The General Social Survey asked...Ch. 8.2 - Fake Twitter followers: Many celebrities and...Ch. 8.2 - Prob. 24E Ch. 8.2 - Hip surgery: In a sample of 123 hip surgeries of a...Ch. 8.2 - Sound it out: Phonics is an instructional method...Ch. 8.2 - Software instruction: A hybrid course is one that...Ch. 8.2 - Baby talk: In a sample of 77 children, the mean...Ch. 8.2 - Baby weights: Following are weights: m pounds: of...Ch. 8.2 - Prob. 30E Ch. 8.2 - Eat your spinach: Six measurements were made of...Ch. 8.2 - Mortgage rates: Following are interest rates...Ch. 8.2 - Hi-def: Following are prices of a random sample of...Ch. 8.2 - Big salary for the boss: Following is the total...Ch. 8.2 - Prob. 35E Ch. 8.2 - Prob. 36E Ch. 8.2 - Eat your kale: Kale is a type of cabbage commonly...Ch. 8.2 - Prob. 38E Ch. 8.2 - Prob. 39E Ch. 8.2 - Prob. 40E Ch. 8.2 - Dont construct a confidence interval: There have...Ch. 8.2 - Dont construct a confidence interval: As of July...Ch. 8.2 - Prob. 43E Ch. 8.2 - Prob. 44E Ch. 8.2 - Prob. 45E Ch. 8.2 - Prob. 46E Ch. 8.2 - Prob. 47E Ch. 8.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 8.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 8.3 - In Exercises 9 and 10, determine whether the...Ch. 8.3 - Prob. 10E Ch. 8.3 - Prob. 11E Ch. 8.3 - In Exercises 11-14, find the point estimate, the...Ch. 8.3 - In Exercises 11-14, find the point estimate, the...Ch. 8.3 - In Exercises 11-14, find the point estimate, the...Ch. 8.3 - In Exercises 15-18, use the given data to...Ch. 8.3 - In Exercises 15-18, use the given data to...Ch. 8.3 - In Exercises 15-18, use the given data to...Ch. 8.3 - In Exercises 15-18, use the given data to...Ch. 8.3 - Smart phone: Among 238 cell phone owners aged...Ch. 8.3 - Working at home: According to the U.S. Census...Ch. 8.3 - Sleep apnea: Sleep apnea is a disorder in which...Ch. 8.3 - Internet service: An Internet service provider...Ch. 8.3 - Volunteering: The General Social Survey asked 1294...Ch. 8.3 - SAT scores: A college admissions officer sampled...Ch. 8.3 - WOW: In the computer game World of Warcraft. Some...Ch. 8.3 - Prob. 26E Ch. 8.3 - Call me: A sociologist wants to construct a 95%...Ch. 8.3 - Reading proficiency: An educator wants to...Ch. 8.3 - Surgical complications: A medical researcher wants...Ch. 8.3 - Hows the economy? A pollster wants to construct a...Ch. 8.3 - Changing jobs: A sociologist sampled 200 people...Ch. 8.3 - Prob. 32E Ch. 8.3 - Prob. 33E Ch. 8.3 - Prob. 34E Ch. 8.3 - Prob. 35E Ch. 8.3 - Prob. 36E Ch. 8.3 - Prob. 37E Ch. 8.3 - Prob. 38E Ch. 8.3 - Prob. 39E Ch. 8.3 - Dont construct a confidence interval: At the end...Ch. 8.3 - Prob. 41E Ch. 8.3 - Prob. 42E Ch. 8.3 - Wilsons interval: The small-sample method for...Ch. 8.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 8.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 8.4 - In Exercises 7 and 8, determine whether the...Ch. 8.4 - Prob. 8E Ch. 8.4 - Find the critical values for a 95% confidence...Ch. 8.4 - Find the critical values for a 99% confidence...Ch. 8.4 - Construct a 95% confidence interval for the...Ch. 8.4 - Construct a 99% confidence interval for the...Ch. 8.4 - SAT scores: Scores on the math SAT are normally...Ch. 8.4 - IQ scores: Scores on an IQ test are normally...Ch. 8.4 - Baby weights: are weights of 12 two-month-old baby...Ch. 8.4 - Eat your cereal: Boxes of cereal are labeled as...Ch. 8.4 - Eat your spinach: Six measurements were made of...Ch. 8.4 - Mortgage rates: Following are interest rates...Ch. 8.4 - Prob. 19E Ch. 8.4 - Using the normal approximation: Refer to Exercise...Ch. 8.4 - Prob. 21E Ch. 8.4 - More accuracy: Refer to Exercise 19. Use the more...Ch. 8.4 - Prob. 23E Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - Prob. 8E Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - In Exercises 5-12, state which type of parameter...Ch. 8.5 - Prob. 13E Ch. 8.5 - Ages of students: A simple random sample of 100...Ch. 8.5 - Calories in bread: Following are the numbers of...Ch. 8.5 - Credit card debt: In a survey of 1118 U.S. adults...Ch. 8.5 - Windy place: Mt. Washington, New Hampshire, is one...Ch. 8.5 - An apple a day: Following are the numbers of grams...Ch. 8.5 - Pneumonia: In a simple random sample of 1500...Ch. 8.5 - Prob. 20E Ch. 8 - Define the following terms: Point estimate...Ch. 8 - Prob. 2CQ Ch. 8 - Prob. 3CQ Ch. 8 - Construct a confidence interval for the population...Ch. 8 - Prob. 5CQ Ch. 8 - Prob. 6CQ Ch. 8 - Prob. 7CQ Ch. 8 - Prob. 8CQ Ch. 8 - Prob. 9CQ Ch. 8 - Prob. 10CQ Ch. 8 - Prob. 11CQ Ch. 8 - Prob. 12CQ Ch. 8 - Prob. 13CQ Ch. 8 - Prob. 14CQ Ch. 8 - Prob. 15CQ Ch. 8 - Prob. 1RE Ch. 8 - Prob. 2RE Ch. 8 - Cost of environmental restoration: In a survey of...Ch. 8 - Prob. 4RE Ch. 8 - Prob. 5RE Ch. 8 - Contaminated water: Polychlorinated biphenyls...Ch. 8 - Prob. 7RE Ch. 8 - Cost of repairs: A sample of eight repair records...Ch. 8 - Cost of repairs: Refer to Exercise 8. Assume the...Ch. 8 - Prob. 10RE Ch. 8 - Prob. 11RE Ch. 8 - Sleep time: In a sample of 87 young adults, the...Ch. 8 - Leaking tanks: Leakage from underground fuel tanks...Ch. 8 - Prob. 14RE Ch. 8 - Prob. 15RE Ch. 8 - Prob. 1WAI Ch. 8 - What factors can you think of that may affect the...Ch. 8 - Prob. 3WAI Ch. 8 - Prob. 4WAI Ch. 8 - Prob. 5WAI Ch. 8 - When constructing a confidence interval for , how...Ch. 8 - Prob. 7WAI Ch. 8 - Prob. 1CS Ch. 8 - Prob. 2CS Ch. 8 - Prob. 3CS Ch. 8 - Prob. 4CS Ch. 8 - Prob. 5CS

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Don’t construct a confidence interval: There have been 44 presidents of the United States. Their mean height is 70.8 inches, with a standard deviation of 2.7 inches. Explain why these data should not be used to construct a confidence interval for the mean height of the presidents.

Solution Summary: The author explains that the data should not be used for constructing a confidence interval for the height of the presidents because the sample mean is not given, and population means is already known.

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Chapter 8 Solutions