Question: Q1) One-Sample t- test JASP (14 points total) I am shopping for a new small sedan and would like to get one with excellent miles

Q1) One-Sample t-test JASP (14 points total)

I am shopping for a new small 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 10 Japanese small sedan cars (listed in the table below) to be compared to the American small sedan statistics. I would like to see if there is a significant difference, in either direction, between Japanese small sedans and American small sedans. The significance level is = .05 for a two-tailed hypothesis test.

Hint: We do not know the population mean for the American cars orthe standard deviation, so we cannot conduct a z-test and should perform a one-sample t-test instead. Since we don't have a population mean, leave the "test value" in JASP as the default (i.e., 0).

Japanese carMPG
129
232
330
428
527
634
730
835
932
1036

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? [2 points total: 0.5 for null and 0.5 for alternative written format and 0.5 for null and 0.5 for symbol notation]

Written

Symbolic

Symbol bank for copy & pasting:

= < > m

Null

H0:

AlternativeH1:

Q1c. Use JASP to calculate the sample mean. Round the result to the hundredth (2nd place to the right of the decimal). [1 point]

Q1d. Use JASP to calculate the standard deviation. Round the result to the hundredth (2nd place to the right of the decimal). [1 point]

Q1e. Use JASP to calculate the standard error (standard deviation of the sampling distribution) [1 point]

Q1f. Use JASP to calculate the t statistic for the sample. Since we don't have a population mean, leave the "test value" in JASP as the default (i.e., 0). Round to the hundredth (second decimal place). [1 point]

Q1g. Use JASP to calculate the degree of freedom [1 point]

Q1h. What is the p value? Compare the p value to the alpha. Is the t-test significant? Based on this comparison, do we "reject" or "fail to reject" the null hypothesis? [3 points: 1 point for each answer]

Q1i. Interpret the result in 1 sentence to answer the research question. RQ = Is there is a significant difference between Japanese small sedans and American small sedans? (you may use the wording of the hypothesis or explain it in your own words). [1 point]

Q1j. Use JASP to calculate effect size of this hypothesis test. State the effect size and explain your conclusion of the strength of this test.Round the result to the hundredth (2nd place to the right of the decimal). [1 point: .5 effect size and .5 conclusion]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!