Connect hosted by ALEKS for Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781260041774
Author: Allan Bluman
Publisher: Mcgraw-hill Higher Education (us)
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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
Connect hosted by ALEKS for 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 - Using the z table (Table E), find the critical...Ch. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - For each conjecture, state the null and...Ch. 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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? 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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 - 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 - 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. 8.4.12RECh. 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 - For Exercises 5 through 20, assume that the...Ch. 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 - 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- Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. 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 to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…arrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A lumber store claims that at least 25 % of its new customers will return to buy their next order of lumber . Describe the type I error. Choose the correct answer below. A. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you reject Upper H 0 : pgreater than or equals 0.25 . B. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.25 , but you reject Upper H 0 : pless than or equals 0.25 . C. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . D. A type I error will occur when the actual proportion of…arrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A shoe store claims that no more than 25% of its new customers will return to buy their next pair of shoes. Describe the type I error. Choose the correct answer below. 16 OA. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you reject Ho: p≥ 0.25. B. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you fail to reject Ho: p ≤ 0.25. C. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.25, but you fail to reject Ho: p≥ 0.25. D. A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.25, but you reject Ho: p≤0.25. Describe the type II error. Choose the correct answer below. O A. A type II…arrow_forward
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