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3. Calculate the test statistic Given: X = 26.5 H = 24.7 6 = 4.8 N = 75 Zobt 26.5–24.7 Zobt 4.8//75 1.8 Zob 5% 0.5543 Zob 3.25 1.645 | 3.25 (a) One-tailed test 4. assess whether zar falls within the critical region since Iz.> 1.645, it falls within the critical region for rejection of the null hypothesis. therefore, we reject the null hypothesis and conclude that the gasoline additive does increase miles per gallon

3. Calculate the test statistic Given: X = 26.5 H = 24.7 6 = 4.8 N = 75 Zobt 26.5–24.7 Zobt 4.8//75 1.8 Zob 5% 0.5543 Zob 3.25 1.645 | 3.25 (a) One-tailed test 4. assess whether zar falls within the critical region since Iz.> 1.645, it falls within the critical region for rejection of the null hypothesis. therefore, we reject the null hypothesis and conclude that the gasoline additive does increase miles per gallon

MATLAB: An Introduction with Applications
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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3. Calculate the test statistic Given: X = 26.5 µ = 24.7 6 = 4.8 N = 75 1- obt Zobt 26.5-24.7 Zobt = 4.8//75 1.8 Zobt 5% 0.5543 Zabt = 3.25 1.645 3.25 (a) One-tailed test 4. assess whether z,b, falls within the critical region since Iz.bl> 1.645, it falls within the critical region for rejection of the null hypothesis. therefore, we reject the null hypothesis and conclude that the gasoline additive does increase miles per gallon
Transcribed Image Text:3. Calculate the test statistic Given: X = 26.5 µ = 24.7 6 = 4.8 N = 75 1- obt Zobt 26.5-24.7 Zobt = 4.8//75 1.8 Zobt 5% 0.5543 Zabt = 3.25 1.645 3.25 (a) One-tailed test 4. assess whether z,b, falls within the critical region since Iz.bl> 1.645, it falls within the critical region for rejection of the null hypothesis. therefore, we reject the null hypothesis and conclude that the gasoline additive does increase miles per gallon
SAMPLE PROBLEM A gasoline manufacturer believes a ne w additive will result in more m iles per gallon. A la rge number of mileage mea surements on t he gasoline without the additive have been made by the company under rigorously controlled conditions. The results show a mean of 24.7 miles per gallon and a standard deviation of 4.8. Tests are conducted on a sa mple of 75 cars using the gasoline plus the additive. The sample mean equals 26.5 miles per gallon. a. Let's assume there is a dequate ba sis for a one -tailed test. What is the direc- tional alternative hypothesis? b. What is the null hypothesis? c. What is the conclusion? Use a = 0.05, cail- 1. State the hypotheses and select an alpha level Null Hypothesis – Ho: µ = population mean Alternative Hypothesis – H: µ # population mean 2. Draw the normal curve: label the critical value and critical region; determine the critical value refer to the z-table for the critical value 3. Calculate the test statistic 4. Make a decision regarding Ho assess whether Zee falls within the critical region If kel z kail reject the null hypothesis. If not, retain the nul hypothesis. ANSWER 1. State the hypothesis Null hypothesis: The new additive does not increase the number of miles per gallon. The sample with the mean 26.5 is a random sample from a population with population mean less than or equal to 24.7 H us 24.7 Alternative hypothesis: The new additive increases the number of miles per gallon. Therefore, the sample with the mean 26.5 is a random sample from a population with a population mean that is greater than 24.7 H,: u > 24.7 2. Draw the normal curve, label the critical value and region a = .05sil Zer = 1.645 5% 1.645 (a) One-tailed test
Transcribed Image Text:SAMPLE PROBLEM A gasoline manufacturer believes a ne w additive will result in more m iles per gallon. A la rge number of mileage mea surements on t he gasoline without the additive have been made by the company under rigorously controlled conditions. The results show a mean of 24.7 miles per gallon and a standard deviation of 4.8. Tests are conducted on a sa mple of 75 cars using the gasoline plus the additive. The sample mean equals 26.5 miles per gallon. a. Let's assume there is a dequate ba sis for a one -tailed test. What is the direc- tional alternative hypothesis? b. What is the null hypothesis? c. What is the conclusion? Use a = 0.05, cail- 1. State the hypotheses and select an alpha level Null Hypothesis – Ho: µ = population mean Alternative Hypothesis – H: µ # population mean 2. Draw the normal curve: label the critical value and critical region; determine the critical value refer to the z-table for the critical value 3. Calculate the test statistic 4. Make a decision regarding Ho assess whether Zee falls within the critical region If kel z kail reject the null hypothesis. If not, retain the nul hypothesis. ANSWER 1. State the hypothesis Null hypothesis: The new additive does not increase the number of miles per gallon. The sample with the mean 26.5 is a random sample from a population with population mean less than or equal to 24.7 H us 24.7 Alternative hypothesis: The new additive increases the number of miles per gallon. Therefore, the sample with the mean 26.5 is a random sample from a population with a population mean that is greater than 24.7 H,: u > 24.7 2. Draw the normal curve, label the critical value and region a = .05sil Zer = 1.645 5% 1.645 (a) One-tailed test
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