Nine runners agree to participate in a study on two brands of shoes on the time...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Nine runners agree to participate in a study on two brands of shoes on the time to run a race. The runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other a different brand (with the order randomly determined). The differences in running times (Brand A minus Brand B) have a mean of -0.27 minutes with a standard deviation of 0.4 minutes. Question 1 (1 point) V Saved Which of the following statements is/are true? (You must select all of the correct answer choices and none of the incorrect answer choices in order to receive credit. No partial credit will be given.) In order to conduct a matched pairs t test, we must assume that differentes in running times are normally distributed. In order to conduct a matched pairs t test, we must assume that running times with Brand A shoc and Brand B shoe arc both normally distributed. For any two runners, running times with Brand A shoc are independent. For cach runner, running times with Brand A shoc and Brand B shoc are independent. Question 2 (1 point) We would like to construct a 99% confidence interval for the true mean difference in running times with Brand A and Brand B shoes. WWhat is the margin of error for the confidence interval? Keep 4 decimal places in intermediate calculations and report your final answer to 2 decimal places. Your Answer: Answer Question 3 (1 point) v Saved At the 5% level of significance, we would like to determine if there is evidence that the true mean running times for the two brands differ. What is the P-value for the appropriate test of significance? between 0.01 and 0.02 between 0.02 and 0.04 between 0.04 and 0.05 between 0.05 and 0.10 between 0.10 and 0.20 Question 4 (1 point) What is the interpretation of the P-value in the previous question? O A) If the true mean running time were equal for the two brands, the probability of incorrectly concluding that the means differ would be (your answer to previous question). O B) The probability that the true mean running time differs for the two brands is (your answer to previous question). C) If the true mean running time were equal for the two brands, the probability of observing a sample mean of differences at least as cxtreme as -0.27 would be (your answer to previous question). D) The probability that the true mean running time is equal for the two brands is (your answer to previous question). O E) If the true mean running time differed for the two brands, the probability of observing a sample mean of differences at least as extreme as -0.27 would be (your answer to previous question). Question 5 (1 point) V Saved We will commit a Type II error in the hypothesis test in Question 3 if we conclude that there is: O A) sufficient evidence that average running times for the two brands differ when in fact average running times for the two brands do differ. O B) insufficient evidence that average running times for the two brands differ when in fact average running times for the two brands do differ. O C) sufficient evidence that there is no difference in average running times for the two brands when in fact average running times for the two brands do differ. O D) sufficient evidence that average running times for the two brands differ when in fact there is no difference in average running times for the two brands. E) insufficient evidence that there is no difference in average running times for the two brands when in fact average running times for the two brands do differ. OF) insufficient evidence that there is no difference in average running times for the two brands when in fact there is no difference in average running times for the two brands. G) sufficient evidence that there is no difference in average running times for the two brands when in fact there is no difference in average running times for the two brands. H) insufficient evidence that average running times for the two brands differ when in fact there is no difference in average running times for the two brands. Question 6 (1 point) V Saved Suppose we had instead used the critical value method to conduct the test in Question 3. We would reject Ho if: Otz 2.306 orts-2.306 Otz 1.860 or t s-1.860 Otz 1.860 Ot2 2.306 Ots-2.306 Ots-1.860 Nine runners agree to participate in a study on two brands of shoes on the time to run a race. The runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other a different brand (with the order randomly determined). The differences in running times (Brand A minus Brand B) have a mean of -0.27 minutes with a standard deviation of 0.4 minutes. Question 1 (1 point) V Saved Which of the following statements is/are true? (You must select all of the correct answer choices and none of the incorrect answer choices in order to receive credit. No partial credit will be given.) In order to conduct a matched pairs t test, we must assume that differentes in running times are normally distributed. In order to conduct a matched pairs t test, we must assume that running times with Brand A shoc and Brand B shoe arc both normally distributed. For any two runners, running times with Brand A shoc are independent. For cach runner, running times with Brand A shoc and Brand B shoc are independent. Question 2 (1 point) We would like to construct a 99% confidence interval for the true mean difference in running times with Brand A and Brand B shoes. WWhat is the margin of error for the confidence interval? Keep 4 decimal places in intermediate calculations and report your final answer to 2 decimal places. Your Answer: Answer Question 3 (1 point) v Saved At the 5% level of significance, we would like to determine if there is evidence that the true mean running times for the two brands differ. What is the P-value for the appropriate test of significance? between 0.01 and 0.02 between 0.02 and 0.04 between 0.04 and 0.05 between 0.05 and 0.10 between 0.10 and 0.20 Question 4 (1 point) What is the interpretation of the P-value in the previous question? O A) If the true mean running time were equal for the two brands, the probability of incorrectly concluding that the means differ would be (your answer to previous question). O B) The probability that the true mean running time differs for the two brands is (your answer to previous question). C) If the true mean running time were equal for the two brands, the probability of observing a sample mean of differences at least as cxtreme as -0.27 would be (your answer to previous question). D) The probability that the true mean running time is equal for the two brands is (your answer to previous question). O E) If the true mean running time differed for the two brands, the probability of observing a sample mean of differences at least as extreme as -0.27 would be (your answer to previous question). Question 5 (1 point) V Saved We will commit a Type II error in the hypothesis test in Question 3 if we conclude that there is: O A) sufficient evidence that average running times for the two brands differ when in fact average running times for the two brands do differ. O B) insufficient evidence that average running times for the two brands differ when in fact average running times for the two brands do differ. O C) sufficient evidence that there is no difference in average running times for the two brands when in fact average running times for the two brands do differ. O D) sufficient evidence that average running times for the two brands differ when in fact there is no difference in average running times for the two brands. E) insufficient evidence that there is no difference in average running times for the two brands when in fact average running times for the two brands do differ. OF) insufficient evidence that there is no difference in average running times for the two brands when in fact there is no difference in average running times for the two brands. G) sufficient evidence that there is no difference in average running times for the two brands when in fact there is no difference in average running times for the two brands. H) insufficient evidence that average running times for the two brands differ when in fact there is no difference in average running times for the two brands. Question 6 (1 point) V Saved Suppose we had instead used the critical value method to conduct the test in Question 3. We would reject Ho if: Otz 2.306 orts-2.306 Otz 1.860 or t s-1.860 Otz 1.860 Ot2 2.306 Ots-2.306 Ots-1.860
Expert Answer:
Answer rating: 100% (QA)
1Option A and D are true dependent samples 2paired t in... View the full answer
Related Book For
Research Methods and Statistics A Critical Thinking Approach
ISBN: 978-1305257795
5th edition
Authors: Sherri L. Jackson
Posted Date:
Students also viewed these mathematics questions
-
Which of the following statements is not true with respect to the auditors report on internal control over financial reporting? a. The report will be dated as of the date of the financial statements....
-
Which of the following statements is not true with respect to non-statistical sampling? a. It cannot be used in an audit conducted in accordance with generally accepted auditing standards. b. It...
-
Which of the following statements is not true with respect to the calculation of the upper limit on misstatements? a. The tainting percentage is determined based on the difference between the...
-
Raner, Harris & Chan is a consulting firm that specializes in information systems for medical and dental clinics. The firm has two offices-one in Chicago and one in Minneapolis. The firm classifies...
-
The windchill (or windchill factor) is a measure of how cold you feel as a result of being exposed to wind. Table 64 pro- vides some data on windchills for various temperatures when the wind speed is...
-
Choose one product and one service with which you are well acquainted. Indicate how the product and service each meet (or do not meet) the eight overall quality characteristics. For the service,...
-
Reconsider Parts (a) through (f) of Problem 2. For each "true" statement, develop a mathematical proof based on the time value of money factor equations from Table 2.6 in Chapter 2. Data from problem...
-
CHB, Inc., is a bank holding company that is evaluating the potential for expanding into a 13-county region in the southwestern part of the state. State law permits establishing branches in any...
-
What is the binary pattern represented by the following Differential Manchester encoding:
-
Able and Body are unrelated individuals. In September of the present year, they decide to form I Can Too Corporation. Able contributes a building and land with a basis of $35,000 and and a fair...
-
Buying a $150,000 house with $20,000 down and financing the rest with a 15-year mortgage at 5%. Then selling the house and paying off the balance of the loan in 8 years at a selling price, after...
-
Gloria disposed of 1,800 common shares in IBM Inc. late in 2022. The proceeds of disposition on the sale were $25,200 before commission of $400. Gloria owned 4,500 IBM at the end of 2021 before the...
-
Suppose that Simcos cash flow from operations from a project in 2020 is $80,000. If the project increased net working capital by $70,000 and fixed assets by $150,000 during the year. What is Simcos...
-
Much of the term we have talked about difficult topics. This week you are charged with a specific task: find some hope! Rather than remaining depressed about the darkness we have learned about in...
-
In divisional income statements prepared for LeFevre Company, the Payroll Department costs are charged back to user divisions on the basis of the number of payroll distributions, and the Purchasing...
-
Kendra received $15,000 in qualified dividends. She has not owned the stock for more than 1 year. What tax rate will be applied to the $15,000 qualified dividend income?
-
Which of the following is NOT a risk associated with an electronic transfer payment system? a) Daylight overdraft risk b) Wholesale and retail risk c) International technology transfer risk d)...
-
Find the market equilibrium point for the following demand and supply functions. Demand: 2p = - q + 56 Supply: 3p - q = 34
-
Organize the data in Exercise 1 into a class interval frequency distribution using 10 intervals with frequency (f) and relative frequency (rf) columns. s8
-
A student is interested in whether students who study with music playing devote as much attention to their studies as do students who study under quiet conditions (he believes that studying under...
-
Identify some possible confounds in each of the studies you outlined in your answers to exercises 2 and 3.
-
The codon change (Gly-12 to Val-12) in human H-ras that converts it to oncogenic H-ras has been associated with many types of cancers. For this reason, researchers would like to develop drugs to...
-
Outline the general strategy used in metagenomics.
-
You need to understand the approach described in question 3 in More Genetic TIPS before answering this question. A muscle-specific gene was cloned and then subjected to promoter bashing. As shown...
Study smarter with the SolutionInn App