
Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 8, Problem 1CS
To determine
To find: The box-plot for the four pollutants to verify that the assumptions for constructing a confidence interval are satisfied.
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32. Consider a normally distributed population with mean μ = 80
and standard deviation σ = 14.
a.
Construct the centerline and the upper and lower control
limits for the chart if samples of size 5 are used.
b. Repeat the analysis with samples of size 10.
2080 101
c. Discuss the effect of the sample size on the control limits.
Consider the following hypothesis test.
The following results are for two independent samples taken from the two populations.
Sample 1
Sample 2
n 1 = 80
n 2 = 70
x 1 = 104
x 2 = 106
σ 1 = 8.4
σ 2 = 7.6
What is the value of the test statistic? If required enter negative values as negative numbers (to 2 decimals).
What is the p-value (to 4 decimals)? Use z-table.
With = .05, what is your hypothesis testing conclusion?
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use = .05 and test to see whether the consultant with more experience has the higher population mean service rating.
Consultant A
Consultant B
= 16
= 10
= 6.82
= 6.25
= .64
= .75
State the null and alternative hypotheses.H0: 1 - 2 Ha: 1 - 2
Compute the value of the test statistic (to 2 decimals).
What is the p-value?The p-value is
What is your conclusion?
Chapter 8 Solutions
Elementary Statistics (Text Only)
Ch. 8.1 - In Exercises 17—20, fill in each blank with the...Ch. 8.1 - Prob. 18ECh. 8.1 - In Exercises 17—20, fill in each blank with the...Ch. 8.1 - In Exercises 17-20, fill in each blank with the...Ch. 8.1 - In Exercises 21-24, determine whether the...Ch. 8.1 - In Exercises 21-24, determine whether the...Ch. 8.1 - In Exercises 21-24, determine whether the...Ch. 8.1 - Prob. 24ECh. 8.1 - In Exercises 25-28, find the critical value z/2...Ch. 8.1 - In Exercises 25-28, find the critical value z/2...
Ch. 8.1 - In Exercises 25-28, find the critical value z/2...Ch. 8.1 - Prob. 28ECh. 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. 34ECh. 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. 38ECh. 8.1 - A population has standard deviation 21.3. How...Ch. 8.1 - Prob. 40ECh. 8.1 - A population has standard deviation =12.7 How...Ch. 8.1 - Prob. 42ECh. 8.1 - SAT scores: A college admissions officer takes a...Ch. 8.1 - Prob. 44ECh. 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. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Dont construct a confidence interval: A college...Ch. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - Prob. 68ECh. 8.2 - In Exercises 7 and 8, fill in each blank with the...Ch. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 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. 24ECh. 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. 30ECh. 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. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Eat your kale: Kale is a type of cabbage commonly...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Dont construct a confidence interval: There have...Ch. 8.2 - Dont construct a confidence interval: As of July...Ch. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 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. 10ECh. 8.3 - Prob. 11ECh. 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. 26ECh. 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. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Dont construct a confidence interval: At the end...Ch. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 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. 8ECh. 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. 19ECh. 8.4 - Using the normal approximation: Refer to Exercise...Ch. 8.4 - Prob. 21ECh. 8.4 - More accuracy: Refer to Exercise 19. Use the more...Ch. 8.4 - Prob. 23ECh. 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. 8ECh. 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. 13ECh. 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. 20ECh. 8 - Define the following terms: Point estimate...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Construct a confidence interval for the population...Ch. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Cost of environmental restoration: In a survey of...Ch. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Contaminated water: Polychlorinated biphenyls...Ch. 8 - Prob. 7RECh. 8 - Cost of repairs: A sample of eight repair records...Ch. 8 - Cost of repairs: Refer to Exercise 8. Assume the...Ch. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Sleep time: In a sample of 87 young adults, the...Ch. 8 - Leaking tanks: Leakage from underground fuel tanks...Ch. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 1WAICh. 8 - What factors can you think of that may affect the...Ch. 8 - Prob. 3WAICh. 8 - Prob. 4WAICh. 8 - Prob. 5WAICh. 8 - When constructing a confidence interval for , how...Ch. 8 - Prob. 7WAICh. 8 - Prob. 1CSCh. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CS
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