Determine which statistical method(s) is/are appropriate to answer the question(

Question

Determine which statistical method(s) is/are appropriate to answer the question(s). You do not need to perform any actual analyses. Just state the method(s) that will best answer the questions. Give a one sentence explanation for your choice in each case. (You may assume all necessary assumptions are met, such as normality, common variance, etc., when they apply.) Your choices are:

Hypothesis tests and/ or confidence intervals

for a single population proportion                            to compare two population means using independent samples

for a single population mean                                      to compare two population proportions

for a single population variance                                 to compare two population means using paired data

to determine independence/dependence of rows and columns in a table

Checking for the existence of a linear relationship with a scatter plot and correlation

Q)Highway fuel consumption is measured for a sample of four cylinder, six cylinder and eight cylinder cars. The purpose is to investigate whether or not the mean fuel consumption differs with number of cylinders. What should be done?

Explanation / Answer

Q)Highway fuel consumption is measured for a sample of four cylinder, six cylinder and eight cylinder cars. The purpose is to investigate whether or not the mean fuel consumption differs with number of cylinders. What should be done?

Hypothesis tests and/ or confidence intervals

Checking for the existence of a linear relationship with a scatter plot and correlation

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