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)Data on the eruptions of Old Faithful Geyser have been collected for decades, perhaps longer. The National Park Service has enough data that they can predict, to fairly good accuracy, when the next eruption will be based on data from the previous eruption. What would you use to determine whether or not a linear equation would provide a good description of the relationship between duration of the last eruption and how long it would be until the next one?

Explanation / Answer

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

Scater pot will give an idea whethere there is any relation ship exists between the variables

The correlation analysis explains whether the linear relationship is valid or not.

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