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a. What is the dependent variable in this hypothesis test? b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? c. What is your calculated sample mean? d. Estimate the standard deviation of the population from which the sample was drawn. e. Calculate the standard error (standard deviation of the sampling distribution). f. Calculate the t statistic for the sample. g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees of freedom. h. Using jamovi, what is the corresponding p value for the t statistic? i. Compare the t statistic with the critical t value. Is the calculated t statistic more extreme or less extreme than the critical t value? Compare as well the p value with the alpha as. Based on these comparisons, do we "reject" or "fail to reject" the null hypothesis? j. Interpret the result in 1 sentence to answer the research question. k. Supporting Screenshot

a. What is the dependent variable in this hypothesis test? b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? c. What is your calculated sample mean? d. Estimate the standard deviation of the population from which the sample was drawn. e. Calculate the standard error (standard deviation of the sampling distribution). f. Calculate the t statistic for the sample. g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees of freedom. h. Using jamovi, what is the corresponding p value for the t statistic? i. Compare the t statistic with the critical t value. Is the calculated t statistic more extreme or less extreme than the critical t value? Compare as well the p value with the alpha as. Based on these comparisons, do we "reject" or "fail to reject" the null hypothesis? j. Interpret the result in 1 sentence to answer the research question. k. Supporting Screenshot

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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Q1) One-Sample t-Test: I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that Japanese cars tend to be more fuel efficient than American cars, so I collected MPG data on a random sample of 12 Japanese 4-cylinder sedan models (listed in the table below) to be compared to the American car statistics. I would like to see if there is a significant difference, in either direction, between Japanese sedans and American sedans. The US Environmental Protection Agency reported that the average MPG for American sedans in 2017 is μ = 29. I set the significance level at a = .10 for a two-tailed hypothesis test. Hint: Because we know the population mean for the American cars but not the standard deviation, we cannot conduct a Z test but should perform a one-sample t-test instead. Japanese car model 1 2 3 4 5 6 7 8 9 10 11 12 MPG 32 30 27 36 35 28 32 28 32 28 32 32
Transcribed Image Text:Q1) One-Sample t-Test: I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that Japanese cars tend to be more fuel efficient than American cars, so I collected MPG data on a random sample of 12 Japanese 4-cylinder sedan models (listed in the table below) to be compared to the American car statistics. I would like to see if there is a significant difference, in either direction, between Japanese sedans and American sedans. The US Environmental Protection Agency reported that the average MPG for American sedans in 2017 is μ = 29. I set the significance level at a = .10 for a two-tailed hypothesis test. Hint: Because we know the population mean for the American cars but not the standard deviation, we cannot conduct a Z test but should perform a one-sample t-test instead. Japanese car model 1 2 3 4 5 6 7 8 9 10 11 12 MPG 32 30 27 36 35 28 32 28 32 28 32 32
a. What is the dependent variable in this hypothesis test? b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? c. What is your calculated sample mean? d. Estimate the standard deviation of the population from which the sample was drawn. e. Calculate the standard error (standard deviation of the sampling distribution). f. Calculate the t statistic for the sample. g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees of freedom. h. Using jamovi, what is the corresponding p value for the t statistic? i. Compare the t statistic with the critical t value. is the calculated t statistic more extreme or less extreme than the critical t value? Compare as well the p value with the alpha as. Based on these comparisons, do we "reject" or "fail to reject" the null hypothesis? j. Interpret the result in 1 sentence to answer the research question. k. Supporting Screenshot
Transcribed Image Text:a. What is the dependent variable in this hypothesis test? b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? c. What is your calculated sample mean? d. Estimate the standard deviation of the population from which the sample was drawn. e. Calculate the standard error (standard deviation of the sampling distribution). f. Calculate the t statistic for the sample. g. Determine the critical t value(s) based on the type of test, the preset alpha level, and degrees of freedom. h. Using jamovi, what is the corresponding p value for the t statistic? i. Compare the t statistic with the critical t value. is the calculated t statistic more extreme or less extreme than the critical t value? Compare as well the p value with the alpha as. Based on these comparisons, do we "reject" or "fail to reject" the null hypothesis? j. Interpret the result in 1 sentence to answer the research question. k. Supporting Screenshot
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