Assignment 4.docx - PSY230 FallA2019 M4 Assignment General instruction 1 Complete the Guided Practice Problem first if you have not done so It will help

Assignment 4.docx - PSY230 FallA2019 M4 Assignment General...

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PSY230 FallA2019 M4 Assignment General instruction: 1. Complete the Guided Practice Problem first, if you have not done so. It will help you become proficient in answering the questions in this assignment. 2. Check out the module Assignment Guides which demonstrates how to show the math/process work and provides instruction on essential procedures in Word and Excel, and APA formatting examples. 3. Use this Word document to fill in the answers to the questions. You must type out a clear answer to each question, even if the answer is also contained in the Excel file submitted to show work . Q1) One-Sample t- Test (14 points total) 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 16 Japanese 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 = 30. I set the significance level at α = .05 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 MPG 1 33 2 31 3 37 4 37 5 36 6 29 7 33 8 29 9 33 10 29 11 33 12 33 13 29 14 31 15 34 16 33 a. Information about the hypothesis test: - What is the dependent variable in this hypothesis test? (.5 point) MPG - What is the “sample” for this one-sample t test? (.5 point) MPG on Japanese cars - What is the target population represented by the sample ? (.5 point)
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PSY230 FallA2019 Japanese cars - What is the comparison population? (.5 point) American cars b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? (2 points total: 1 for each hypothesis- .5 for written, .5 for symbol notation) Null hypotheses: The country in which a car is manufactured does not significantly affect the average MGP. H0: ? US = ? JP Alternative hypotheses: The country in which a car is manufactured does significantly affect the average MGP. H0: ? US =/= ? JP c. Calculate the sample mean. (1 point: .5 if process is correct but answer is wrong) 33+31+37+37+36+29+33+29+33+29+33+33+29+31+34+33= 520/16=32.5 d. Estimate the standard deviation of the population from which the sample was drawn (1 point: .5 if process is correct but answer is wrong) 2.708 e. Calculate the standard error (standard deviation of the sampling distribution) (1 point: .5 if process is correct but answer is wrong) 0.677 f. Calculate the t statistic for the sample (1 point: .5 if process is correct but answer is wrong) (32.5-30)/0.677= 3.693 g. Figure out the degree of freedom, and then determine the critical t
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