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 8.2.4RE
For Exercises 1 through 20, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
4. Time Until Indigestion Relief An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the claim, 35 randomly selected individuals were given the product; the average time until relief was 9.25 minutes. From past studies, the standard deviation of the population is known to be 2 minutes. Can you conclude that the claim is justified? Find the P-value and let α = 0.05.
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Identify the type I error and the type II error for a hypothesis test of the indicated claim.
The percentage of adults who retire at age 65 is less than 62%.
Identify the type I error. Choose the correct answer below.
OA. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually true.
OB. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually false.
OC. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually false.
OD. Reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually true.
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Describe type I and type II errors for a hypothesis test of the indicated claim.
A clothing store claims that at least 80% of its new customers will return to buy their next article of clothing.
Describe the type I error. Choose the correct answer below.
OA. A type I error will occur when the actual proportion of new customers who return buy their next
article of clothing is at least 0.80, but you reject Ho: p20.80.
OB. A type I error will occur when the actual proportion of new customers who return to buy their next
article of clothing is at least 0.80, but you fail to reject Ho: p20.80.
OC. A type I error will occur when the actual proportion of new customers who return
article of clothing is no more than 0.80, but you fail to reject Ho: p≤0.80.
OD. A type I error will occur when the actual proportion of new customers who return
article of clothing is no more than 0.80, but you reject Ho: p≤0.80.
buy their next
buy their next
Assume you want to know whether the prices of meatballs change during the christmas holiday season. You therefore go to 14 meat-stores before the holiday to check the prices of one kilo of meatballs.
In the middle of the holidays, you walk around to the same 14 meat-stores and check the prices again. The results of your research is seen in the table in the picture below.
Make a hypothesis test, where you test whether the prices have changed between the two surveys.
Use ? = 0.05
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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