An automobile mileage study tested the following hypotheses.HypothesisConclusionHo: 4 2 25 mpg Manufacturer's claim supportedHạ: µ < 25 mpgManufacturer's claim rejected;average mileage per gallon less than statedFor o = 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance ofdetecting that u is less than 25 miles per gallon when it is actually 24 (to the next whole number)?

Power given power of a test we have to find the sample size.

Answered: An automobile mileage study tested the…

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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Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 30; x = 0.04; a=3.13. Sample statistics: x= 28.9, n = 75 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 30 Calculate the standardized test statistic. The standardized test statistic is - 3.04 (Round to two decimal places as needed.) D. Ho: H=30 H₂:30 OF. Ho: > 30 H₂: H=30 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.). OA. The critical values are t OB. The critical value is.
The one-sample ?t‑statistic for a test of ?0:?=42H0:μ=42 versus ?1:?<42H1:μ<42 based on ?=15n=15 observations has the value ?=−0.867t=−0.867, where ?0H0 and ?1H1are the null and alternative hypotheses, respectively. The sample size is denoted by ?n. Use this ?t‑table to determine which two ?-valuesP-values bracket the ?-valueP-value of the test. Report your answers in decimal form as listed in the ?t‑table.
Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.
Which of the following is the best decision and conclusion based on the result below? H.: p = 0.10 Ha:p + 0.10 Critical Value: +1.645 Computed Test Statistics: z = 5.61 O a. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O b. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10evel of significance, there is enough evidence that the population proportion is different from 10%. O c. Since the computed test statistics is greater than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O d. Since the computed test statistics is less than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there…
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.17. Which of the following is a type I error? O A. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O B. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O C. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. O D. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. Which of the following is a type Il error? O A. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. OB. Reject the claim that the…
Suppose you want to test the claim that μ > 25.6. Given a sample size of n = 47 and a level of significance of, a=0.01 when should you reject H0?
Question 4 く Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:HN H1:PN > PD H1:µN > HD H1:PN < PD H1:PN # PD H1:µN < HD H1:µN # µD HD Ho:PN = PD Ho:PN = pD Ho:HN = HD Ho:UN = D The test is: two-tailed left-tailed right-tailed The sample consisted of 70 night students, with a sample mean GPA of 2.22 and a standard deviation of 0.03, and 50 day students, with a sample mean GPA of 2.21 and a standard deviation of 0.02. The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the nul hypothesis
Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.15. Which of the following is a type I error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. B. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. C. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. Which of the following is a type Il error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually different from 0.15. B. Reject the claim that the proportion of…

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