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)Manatees are large, gray aquatic mammals that live in coastal waters around Florida. Marine biologists have data relating the annual number of registered recreational boats in Florida and the annual number of manatee deaths related to boating incidents. Their data covers numbers of boats between 73 and 95 (in thousands). The relationship is already known to be linear but they don’t have the exact equation.

Suppose the Department of Natural Resources wants to limit the number of recreational boats licensed to operate along the Florida coast. What can they do to predict the expected number of annual manatee deaths if the number of licensed boats is capped at 80 (thousand)?

Explanation / Answer

1) Single proportion----- Z test will be used

2) Single population mean---- Z test (if n>30), student't' test (if n<30)

3) Single variance----- Chi-square test

4) Two population means--- Z test for difference of means (if n>30), Student independent sample 't' test (if n<=30)

5) Two population proportions--- Z test for difference of proportions

6) Two population means(paired)--- Student paired 't' test

7) Independence/dependence row/columns------ Chi-square test

8) correlation/scatter/regression coefficient--- Student 't' test for correlation and regression

9) we need to predict Y

Y=a+bX

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