For a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 hours, technology outputshows that the hypothesis test has power of 0.4486 of supporting the claim that µ< 9 hours of sleep when the actualpopulation mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret thatvalue.Interpret this value of the power.A. The chance of recognizing that µ< 9 hours is not very high when in reality µ = 7.5 hours.B. The chance of failing to recognize that µ = 7.5 hours is not very high when in reality μ = 7.5 hours.C. The chance of recognizing that µ< 9 hours is very high when in reality μ = 7.5 hours.D. The chance of failing to recognize that μ< 9 hours is not very high when in reality μ = 7.5 hours.Identify the value of ß and interpret that value. Select the correct choice below and fill in the answer box tocomplete your choice.(Round to four decimal places as needed.)A. The value =indicates that there is a less than 50% chance of failing to recognize that µ< 9 hourswhen in reality μ = 7.5 hours.B. The value =indicates that there is a less than 50% chance of incorrectly recognizing that µ< 9 hourswhen in reality μ = 9 hours.C. The value ß =indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 9hours when in reality μ = 9 hours.D. The value ß =indicates that there is a greater than 50% chance of failing to recognize that µ< 9 hoursμwhen in reality μ = 7.5 hours.Next

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Answered: For a hypothesis test of the claim that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4733 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which of the following represents the p-value? A P (x > 10.65) = 0.00 В P(x² > 10.65) = 0.03 P (x > 10.65) = 0.06 D P (x² > 10.65) = 0.94 E P(x? > 10.65) = 0.97
A 2019 study surveyed Norwegian parents about their children's eating habits and taste sensitivities. We are interested in seeing if there is a relationship between sensitivity to sweetness and emotional overeating. The study reports an F* = 2.34 with dfb 3 and dfw = 96. How many levels of 'sensitivity to sweetness' were used in the study? How many subjects participated in the entire study?
Interpret a P-value: The manufacturer of a medication designed to lower blood pressure claims that the mean systolic blood pressure for people taking their medication is less than 135. To test this claim, blood pressure is measured for a sample of 500 people who are taking the medication. The P-value for testing Ho: μ = 135 versus H₁: µ< 135 is P = 0.001. a. The manufacturer concludes that because the P-value is very small, we can be fairly certain that the mean pressure is less than 135, but we cannot conclude that it is a lot smaller. Is this conclusion justified?
For the population, 57% of people are searched if stopped. For a sample of 26441 stops, what Z-test value is calculated given Black men are searched 61% of the time when stopped?
A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. At α=0.05, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? A. Identify the degrees of freedom for the numerator and for the denominator, determine the critical value. B. Calculate the Test Statistic
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 2.4 t (to 3 decimals) 2.8 Select your answer - 2.2 Ho : μ Select your answer - 2 Ha - Select your answer - ✪ 2 b. Compute the sample mean. (to 2 decimals) c. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) ✪ 2.7 1.7 1.5 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. a. State the null and alternative hypotheses. 1.6 2.4 2.6 3.1 p-value e. What is your conclusion? We - Select your answer-reject the null hypothesis.…
A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,709 and $69,917. Find the point estimate for mean U.S. household income. (Enter your answer as a whole number.) x = Find the error bound for mean U.S. household income. (Enter your answer as a whole number.) EBM =
A taxi business owner is determining the type of tires for his cars for efficiency the fuel can be increased. Twelve cars were tested using type A tires and asked to travel on a certain route. The same car and driver, then do the same route and the same road conditions with type B tires. Fuel consumption (km/liter) is then recorded as (enclosed). Note: • Use the last digit of your ID (2602296545) in place of a value; • If the last digit is 0 then it is changed to 1; Example: ID 1234567890 → 1 Can we conclude that a car with type A tires has material consumption fuel better than a car with type B tires? Assumed population normally distributed and α=5%. a. Define a hypothesis statement for the case. b. Perform statistical test calculations. c. Give a conclusion from the results of these calculations.
Refer to the table to the right summarizing measured amounts of serum cotinine (ng/mL) from a sample of smokers. When nicotine is absorbed by the body, cotinine is produced. How many subjects are included in the summary? Is it possible to identify the exact values of all of the original cotinine measurements? Cotinine (ng/mL) 0-99 100-199 200-299 300-399 400-499 How many subjects are included in the summary? (Type a whole number.) Is it possible to identify the exact values of all of the original cotinine measurements? Frequency 10 14 15 3 2 OA. Yes. The exact data values are equally spaced numbers between the limits of each class. The number of equally spaced numbers is determined by the frequency in each class. OB. No. A frequency table only shows percentages of the sample in each category. OC. No. A frequency table only shows frequencies of data values in each category. OD. Yes. The data values are the frequencies shown in the table.

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