10:12 < PSY230-M4-Assignment-SpringA202... Note: To avoid losing any unnecessary points, be sure to take note of all point deductions and totals found in red underneath each question to ensure you meet the required criteria. Q1) One-Sample t-Test (11 points total) I am shopping for a new mid-size SUV 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 10 Japanese mid-size SUV models (listed in the table below) to be compared to the American mid-size SUV statistics. I would like to see if there is a significant difference, in either direction, between Japanese mid-size SUVs and American mid-size SUVs. The US Environmental Protection Agency reported that the average MPG for American mid-size SUVs in 2020 is = 28. 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 MPG 1 29 2 32 3 30 4 28 5 27 6 34 7 30 8 35 9 32 10 36 Q1a. Information about the hypothesis test: - What is the dependent variable in this hypothesis test? [0.5 point] - What is the "sample" for this one-sample t test? [0.5 point] - What is the target population represented by the sample? [0.5 point] - What is the comparison population? [0.5 point] Q1b. What would be the null and alternative hypotheses in both words and symbol notations for my analysis? [1 point total: 0.5 for null and 0.5 for alternative. Both the written format and symbol notation must be correct to get the 0.5 for a hypothesis] Symbolic Written Symbol bank for copy & pasting: =3 <1>m H: Null H: Alternative 3 1000 000 Dashboard Calendar To Do Notifications Inbox 10:12 < PSY230-M4-Data-SpringA2023-1.xlsx Q1 Q2 Q3 Subject ID Encoding Encoding B 1 177 179 2 189 193 3 185 188 4 178 176 5 181 178 6 186 184 7 193 191 8 192 187 9 187 182 10 182 178 11 179 176 12 188 184 3 lopp 1000 Dashboard Calendar To Do Notifications Inbox 10:12 < PSY230-M4-Assignment-SpringA202... Q1c. Calculate the sample mean. Round the result to the hundredth (2nd place to the right of the decimal). [1 point: 0.5 if process is correct but answer is wrong] Qld. Estimate the standard deviation of the population from which the sample was drawn. Round the result to the hundredth (2nd place to the right of the decimal). [1 point: 0.5 if process is correct but answer is wrong] Q1e. Calculate the standard error (standard deviation of the sampling distribution) [1 point: 0.5 if process is correct but answer is wrong] Q1f. Calculate the t statistic for the sample [1 point: 0.5 if process is correct but answer is wrong] Q1g. Figure out the degree of freedom [0.5 point], and then determine the critical t value(s) [0.5 point] based on the type of test and the preset alpha level. Q1h. Compare the t statistic with the critical / value. Is the calculated t statistic more extreme or less extreme than the critical t value? Based on this comparison, do we "reject" or "fail to reject" the null hypothesis? [1 point: 0.5 for each answer] Q1i. Interpret the result in 1 sentence to answer the research question (you may use the wording of the hypothesis or explain it in your own words). [1 point] Q1j. Calculate the standardized effect size of this hypothesis test. Round the result to the hundredth (2nd place to the right of the decimal). [1 point: 0.5 if process is correct but answer is wrong] Q2) Paired-Samples & Test (11 points) A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 70 years old and again when they were 80 years old. The researcher wants to know if there is a significant decline in memory functions from age 70 to age 80 based on this sample. In other words, it is hypothesized that the memory score at age 80 is significantly lower than the memory score at age 70. So the null and alternative hypotheses should be directional. The alpha level was set at a = .05 for a one-tailed hypothesis test. Memory score Subiect Age 70lAge 80 3 lopp 0= 0= Dashboard Calendar To Do Notifications Inbox < 10:12 PSY230-M4-Data-SpringA2023-1.xlsx Q1 Q2 Q3 Subject ID Age 70 Age 80 1 74 2 72 3 73 4 68 5 74 6 71 69 7 67 88 69 9 68 10 72 76783OSPER 70 71 65 70 70 3 lopp 1000 Dashboard Calendar To Do Notifications Inbox < 10:12 PSY230-M4-Data-SpringA2023-1.xlsx Q1 Q2 Q3 Japanese Ca MPG 1 29 2 32 3 30 4 28 5 27 6 34 7 30 8 35 9 32 10 36 3 lopp 1000 Dashboard Calendar To Do Notifications Inbox