Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Chapter 8, Problem 29CQ
a.
To determine
To state: The hypotheses and define the claim.
b.
To determine
To find: The critical value.
c.
To determine
To find: The test value.
d.
To determine
To make: The decision.
e.
To determine
To summarize: The result.
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Microsoft Excel snapshot for systematic sampling:
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Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 8 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 8.1 - Applying the Concepts 81 Eggs and Your Health The...Ch. 8.1 - Define null and alternative hypotheses, and give...Ch. 8.1 - What is meant by a type I error? A type II error?...Ch. 8.1 - What is meant by a statistical test?Ch. 8.1 - Explain the difference between a one-tailed and a...Ch. 8.1 - What is meant by the critical region? The...Ch. 8.1 - What symbols are used to represent the null...Ch. 8.1 - What symbols are used to represent the...Ch. 8.1 - Explain what is meant by a significant difference.Ch. 8.1 - When should a one-tailed test be used? A...
Ch. 8.1 - In hypothesis testing, why cant the hypothesis be...Ch. 8.1 - Prob. 11ECh. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - Prob. 13ECh. 8.1 - For each conjecture, state the null and...Ch. 8.2 - Car Thefts You recently received a job with a...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 2ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 5ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 13ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Reject or Not State whether the null hypothesis...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 19ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Transmission Service A car dealer recommends that...Ch. 8.2 - Speeding Tickets A motorist claims that the South...Ch. 8.2 - Sick Days A manager states that in his factory,...Ch. 8.2 - Significance Levels Suppose a statistician chose...Ch. 8.2 - Hourly Wage The president of a company states that...Ch. 8.3 - How Much Nicotine Is in Those Cigarettes? A...Ch. 8.3 - In what ways is the t distribution similar to the...Ch. 8.3 - What are the degrees of freedom for the t test?Ch. 8.3 - Prob. 3ECh. 8.3 - Find the critical value (or values) for the t test...Ch. 8.3 - Using Table F, find the P-value interval for each...Ch. 8.3 - Using Table F, find the P-value interval for each...Ch. 8.3 - Prob. 7ECh. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - Prob. 13ECh. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - Prob. 17ECh. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.3 - For Exercises 7 through 23, perform each of the...Ch. 8.4 - What were the statistical hypotheses? 2. What were...Ch. 8.4 - Give three examples of proportions.Ch. 8.4 - Why is a proportion considered a binomial...Ch. 8.4 - When you are testing hypotheses by using...Ch. 8.4 - What are the mean and the standard deviation of a...Ch. 8.4 - Prob. 5ECh. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - Prob. 7ECh. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - Prob. 9ECh. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - Prob. 11ECh. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - Youth Smoking Researchers suspect that 18% of all...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - For Exercises 5 through 20, perform each of the...Ch. 8.4 - When np or nq is not 5 or more, the binomial table...Ch. 8.4 - First-Class Airline Passengers In the past, 20% of...Ch. 8.4 - Show that Z=pppqn can be derived from z=Xu by...Ch. 8.5 - Testing Gas Mileage Claims Assume that you are...Ch. 8.5 - Prob. 1ECh. 8.5 - Using Table G, find the critical value(s) for...Ch. 8.5 - Using Table G, find the P-value interval for each...Ch. 8.5 - Using Table G, find the P-value interval for each...Ch. 8.5 - Prob. 5ECh. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - Prob. 9ECh. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - Tornado Deaths A researcher claims that the...Ch. 8.5 - Interstate Speeds It has been reported that the...Ch. 8.5 - Prob. 13ECh. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.5 - For Exercises 5 through 20, assume that the...Ch. 8.6 - First-Time Births According to the almanac, the...Ch. 8.6 - One-Way Airfares The average one-way airfare from...Ch. 8.6 - Prob. 3ECh. 8.6 - Prison Time According to a public service website,...Ch. 8.6 - Working at Home Workers with a formal arrangement...Ch. 8.6 - Newspaper Reading Times A survey taken several...Ch. 8.6 - Prob. 7ECh. 8.6 - How is the power of a test related to the type II...Ch. 8.6 - Prob. 9ECh. 8 - Prob. 8.2.1RECh. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - Prob. 8.2.5RECh. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - Prob. 8.4.9RECh. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - Prob. 8.4.12RECh. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - Prob. 8.5.18RECh. 8 - Plant Leaf Lengths A biologist knows that the...Ch. 8 - Tire Inflation To see whether people are keeping...Ch. 8 - The Data Bank is found in Appendix B, or on the...Ch. 8 - Select a random sample of 15 individuals and test...Ch. 8 - Select a random sample of at least 30 individuals,...Ch. 8 - Select a sample of 20 individuals and test the...Ch. 8 - Using the data from Data Set XIII, select a sample...Ch. 8 - Using the data obtained in Exercise 5, test the...Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - When the value of is increased, the probability...Ch. 8 - If you wish to test the claim that the mean of the...Ch. 8 - The degrees of freedom for the chi-square test for...Ch. 8 - For the t test, one uses _______ instead of . a. n...Ch. 8 - Complete the following statements with the best...Ch. 8 - Complete the following statements with the best...Ch. 8 - A conjecture about a population parameter is...Ch. 8 - Complete the following statements with the best...Ch. 8 - Complete the following statements with the best...Ch. 8 - For the following exercises where applicable: a....Ch. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - For the following exercises where applicable: a....Ch. 8 - For the following exercises where applicable: a....Ch. 8 - For the following exercises where applicable: a....Ch. 8 - Prob. 26CQCh. 8 - Prob. 27CQCh. 8 - Find the P-value for the z test in Exercise 16....Ch. 8 - Prob. 29CQCh. 8 - Prob. 30CQCh. 8 - For the following exercises where applicable: a....Ch. 8 - Strength of Wrapping Cord A manufacturer claims...Ch. 8 - Prob. 33CQCh. 8 - Find the 95% confidence interval for the mean in...Ch. 8 - Critical Thinking Challenges The power of a test...
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